The Chartered Financial Analyst (CFA®) charter is awarded to those who have completed the CFA® Program and have acquired acceptable work experience.
In the CFA Program, the candidate is tested on investment tools, valuing assets, portfolio management, and wealth planning.
Furthermore, they are then qualified to work in senior and executive positions in investment management, risk management, asset management, and more.
A large part of your post-CFA job preparation would be to prepare for the interviews. Job interviews for designations like financial analysis, investment banking, or portfolio management are often intensive and consist of both behavioral and technical questions.
Behavioural Questions
1. Tell me About yourself.
The question is usually asked when the interviewer hasn’t had the chance to scan through your resume. It’s mostly open-ended and your focus while answering it should be on highlighting the positive aspects of your professional life, such as your productive hobbies, your areas of interest, and a subtle hint at your past achievements and work experience.
A good way to make an impression is to present your own opinions on certain things about your career and why you are pursuing what you are doing right now. The answer shouldn’t stretch more than a minute.
Here’s a sample answer.
“I come from [city] and have settled here now for my professional obligations. I pursued the CA program after my 12th which I completed from [school_name]. I did my articleship from [firm_name] where I was responsible for [work_responsibilities]. I have worked in statutory audits, internal audits, and tax audits and have covered the various aspects and operations right from Vouching to Finalization.
As a highly-driven individual, I often strive to take up opportunities that challenge me both physically and mentally. And as a result, I have also received great exposure to various clients across multiple industries.”
2. What are your strengths?
Always supplement the strengths you mention with real-life examples.
So for example, if you state time management as your strength, you’d follow it up with, “I tend to set personal deadlines for all my projects and I have been able to commit to ALL of them”
Some basic strengths that you could mention are:
- Team-management
- Analytical skills
- Attention to detail
- Fast-learner
- Multi-tasking (not-recommended)
- Empathetic (if you can provide a good example for it, this could be a great one)
3. What are your weaknesses?
Don’t ever try the typical approach such as, “I work too hard”, or, “I am too analytical”. This is one question that you can honestly answer albeit with some tact.
A potential answer to this can be,
“I often tend to self-criticize myself a lot. It’s something that stems from my childhood. But I am currently pursuing therapy for it and I am making a lot of progress in overcoming it”
4. What are some pros and cons of working in a team according to you?
Draw out logical pros and cons for the same but assume the stance that you can excel with or without a team.
An answer like this could work,
“Well, the obvious pros are that you get to share and amplify ideas, you get feedback on your drawbacks and you get work done fast. The obvious cons are that there can arise a situation of ‘too many cooks’. Tasks are often delayed if a team is not properly organized or if team members are not answerable to each other.
In the past, I have got to work both as a team member and as an individual, and although my most productive work is when I am working alone.
Things tend to happen a lot more quickly when I am in a team.”
5. What according to you was the most difficult phase of your college life?
A very safe and bang-on answer could be,
“The most challenging phase of my college life was also one of the best ones. It was the final year because at the time I was bombarded with work and its stress. I was pursuing an articleship, I was managing my extracurricular, I had to do college project submissions, and was also preparing for my college exams.
And there was also the looming preparation for the CA finals. But that phase really activated my most productive self yet for even though there were all these challenges, I was able to traverse through them all and managed to become a stronger and more confident version of myself”
6. What prior work experience you have had?
That’s pretty much a no-brainer except for the fact that if you don’t have a lot of work experience, then it's best to mention your certifications or any other upskilling programs that you pursued.
Your priority here is to explain what you have done with the time that was supposed to be your work experience years. If you do have work experience, try to mention all your responsibilities and achievements during your work.
7. Walk us through an investment declaration that you will show to your senior management.
Try to avoid talking about software when you are answering this interview question for a financial analyst. Focus on elaborating your thinking process here.
You can mention that you first try to understand the intent of an investment decision. Then you would collate income statements, cash flow statements, and balance sheets. After collecting financial information, you would ask senior management if there is any change required from business partners. In the end, you may also want to suggest other investment options.
8. How did you balance CFA exam preparation with your studies or job, and what did that experience teach you?
Interviewers in investment roles know the CFA Program demands several hundred hours of study per level, often alongside a full-time job or degree. This question checks your discipline, time management and genuine motivation — not just whether you passed.
Structure your answer around four points:
- The constraint: Be specific — “I prepared for Level II while working as an equity research associate, often with results-season deadlines of 12-hour days.”
- Your system: Describe how you planned — a study calendar working back from exam day, fixed early-morning study slots, weekends reserved for practice questions and mock exams, and a clear order of topics weighted by exam importance (FSA, equity and fixed income first).
- Adapting when things went wrong: Mention a real setback, such as falling behind during a busy quarter, and how you recovered — cutting low-value activities, using commute time for flashcards on ethics, or taking leave before the exam.
- What it taught you: Link the lessons to the job — consistency over cramming, prioritising by impact, and applying concepts (for example, using the residual income model you studied on a live bank valuation at work).
If you did not pass a level on the first attempt, say so honestly and focus on what you changed. Interviewers respect resilience and self-awareness more than a perfect record.
Note: Avoid presenting the CFA as a box-ticking credential — show how the curriculum improved the quality of your actual work.
9. A client insists you buy a stock that clearly does not suit their risk profile or investment objectives. How would you handle it?
This situational question tests your understanding of the suitability requirement under Standard III(C) of the CFA Institute Standards of Professional Conduct, and your ability to protect the client while respecting their autonomy.
Walk through your approach:
- Understand the request: Ask why the client wants the stock — a tip from a friend, a news story, a personal connection to the company. Sometimes the motive reveals a goal you can meet more suitably.
- Explain the mismatch clearly: Show how the stock conflicts with their investment policy statement — for example, a retired client needing stable income wanting a highly volatile small-cap stock. Quantify the potential loss and its impact on the overall portfolio.
- Offer alternatives: Suggest a smaller position size, a diversified fund in the same theme, or a separate “satellite” allocation capped at a small percentage.
- If the client still insists: For an unsolicited trade, the Standards allow you to execute it if the impact on the portfolio is not material, but you should document that it was client-directed and against your advice. If the trade would materially change the portfolio, update the IPS with the client’s agreement or, in extreme cases, consider whether you can continue the relationship on that basis.
- Document everything: Record the conversation, your recommendation and the client’s written instruction.
In India, SEBI-registered investment advisers also have explicit suitability and risk-profiling obligations, so the same discipline is a regulatory requirement, not just good practice.
Note: The key message: you never quietly comply, and you never simply refuse — you advise, document and act in the client’s interest.
10. Tell me about an investment recommendation you made that turned out to be wrong. What did you learn from it?
Every investor gets calls wrong. The interviewer wants to see intellectual honesty, a structured post-mortem and evidence that your process improved. Avoid blaming “the market” or luck.
Structure your answer:
- The recommendation and thesis: e.g. “In a student investment fund, I recommended a mid-cap consumer durables company on the thesis that raw material costs would ease and margins would expand by 300 basis points.”
- What happened: Margins improved, but a new competitor’s aggressive pricing took market share, and the stock fell 25% over six months.
- Your post-mortem: Separate process from outcome. Was the thesis wrong, was the valuation too optimistic, or was the risk simply not considered? Here, you had modelled input costs carefully but underweighted competitive intensity — a Porter’s five forces blind spot.
- How you responded at the time: Did you revisit the thesis when facts changed, or anchor on your original view? A good answer shows you set a review trigger and cut or reduced the position when the thesis broke, rather than averaging down out of pride.
- What changed afterwards: For example, you now write down the two or three things that would prove the thesis wrong before recommending a stock, include a bear case in every note, and track competitor pricing data.
Mention behavioural biases you recognised — confirmation bias, anchoring or overconfidence — since behavioural finance is part of the CFA curriculum and interviewers appreciate the self-awareness.
Note: Choose a real example with modest stakes; an honest small mistake with a clear lesson beats a vague or invented story.
Technical Questions
11. Describe ‘financial modeling’.
Quantitative analysis of financial data is widely used for asset pricing as well as general corporate finance. To predict the future impact of today's decisions, a company's expenses and earnings are taken into account (often in spreadsheets).
The financial model also turns out to be a very impactful tool for the following tasks:
- Estimate the valuation of any business
- Compare Competition
- Strategic planning
- Testing different scenarios
- Budget planning and allocation
- Measure the impacts of any changes in economic policies
You can also share your experience through different financial models, including discounted cash flow models (DCF), initial public offerings (IPOs), leveraged buyout models, consolidation models, etc., since financial modeling is one of the most important primary skills.
12. Is it possible for a company to have a positive cash flow but still be in serious financial trouble?
To answer this Financial Analyst interview question you can say:
Yes. There are two examples –
A company that is selling off inventory but delaying payables will show positive cash flow for a while even though it is in trouble
A company has strong revenues for the period, but future forecasts show that revenues will decline
When you define such situations, it proves that you are not looking at the cash flow statements; instead, you care about where the cash is coming from or going to and mark all the points highlighting how the company is making or losing money.
13. When evaluating a company's stock, what is the best evaluation metric?
The main intention of this question is to check your critical thinking abilities and logical skills. Additionally, this question allows you to demonstrate your ability to identify potential pros and cons of investment options.
Technical analysts generally use the following types of charts to check the stock price, which is the basis for picking the right one:
- Line charts (helps in tracking daily movements)
- Bar charts (helps in tracking periodic highs and lows of stock price)
- Point chart (helps in determining stock momentums)
14. What is working capital, and which are the different types of working capital?
As a general rule, working capital can be defined as current assets minus current liabilities.
Its primary purpose is to determine the amount of money you have readily available to meet all of your current expenses.
Financial analysts play a major role in information mediation on capital markets, so understanding working capital needs is very important. It is also important for an analyst to stay on top of forecasting the actual working capital requirements, especially when the company is constantly expanding or growing.
Additionally, you can highlight some previous incidents when your existing company felt the need for additional working capital, and you can even explain how you managed to do so.
You can also demonstrate your skills by demonstrating how you and your team used working capital data to meet current and future needs.
15. Explain quarterly forecasting and expense models.
The analysis of expenses and revenue which is predicted to be produced or incurred in the future is called quarterly forecasting.
In this case, a complete financial model along with an income statement is useful. Making a realistic model, however, is challenging, which is where a financial analyst comes in.
An expense model, on the other hand, tells what expense categories are allowed on a particular type of work order, which forms the foundation of building a budget. Additionally, to make this model functional, an expense projection model is created, which helps with identifying variable and fixed costs which forms a basis for accurately forecasting the company’s expected profit or loss.
16. What do you know about valuation techniques?
In general, three types of valuation techniques are used for calculating the value of a business or stock:
DCF analysis – helps in forecasting future cash flows
Comparable company analysis – evaluates the current value of a business based on its P/E ratio, EBITDA, and other metrics.
Precedent transactions – identify the transactional value of a company by comparing it with similar businesses that have recently been sold.
17. What do you mean by ratio analysis?
Using financial statements, financial analysts use ratio analysis to gain a deeper understanding of a company's overall equity analysis.
The analysis of different ratios helps stakeholders measure a company's profitability, liquidity, operational efficiency, and solvency. By combining these ratios with other essential financial metrics, you can gain a deeper understanding of the company's financial health.
Analyzing ratios helps in:
- Examining the current performance of your company with past performance
- Avoiding potential financial risks and problems
- Comparing your organization with other
- Making stronger and data-driven decisions
18. As a financial analyst which factors do you constantly analyze?
As part of your pre-interview prep, you must keep information like this in handy. This you can do by making notes of methods and procedures analysts ought to use to evaluate or analyze financial data.
Some of these are:
- Risk exposure and how the business will affect the current working capital?
- How to streamline finance requirements and make business processes effective?
- Identifying the right opportunities based on capital and/or revenue.
- How will financial decisions affect key value drivers?
- Which product/ customer segment/ target audience largely affects profit margins and what will be the future impact on margins affected by today’s choices, financial strategies, and decisions?
- Which decisions can affect our stock price?
19. What will you use to gauge the company’s liquidity – cash flow or income?
A firm's liquidity is determined by its ability to pay off its current debt with its current assets. Liquidity can be measured in the following ways:
- Calculate the current ratio of the company (Current Assets/Current Liabilities)
- Calculate the quick ratio (Current Assets-Inventory/Current Liabilities)
- Find the Net Working Capital of the company (Current Assets – Current Liabilities)
If you must choose between cash flow and income, it is a better idea to gauge the company's liquidity based on cash flow, as earnings are more reliable.
20. What is important to consider when deciding on capital investment?
Before making a definite decision on capital investment, you should consider the following:
- Managerial outlook
- Defending against the competitor's strategy
- Technological advancements create opportunities
- Budget for cash flow
- Fiscal Incentives
- Market Forecast
- Other non-economic factors
21. What is EBIDTA? And why is it important?
By asking this question, the recruiter wants to see what in-depth industry knowledge you have about EBITDA. You can frame your answer using the following:
EBITDA stands for earnings before interest, taxes, depreciation, and amortization. It is a measure of a company’s overall financial performance. It can be misleading because it does not include the cost of capital investments like property, equity, plant, and equipment.
EBIDTA can be calculated by the below-given formula:
EBITDA=Net Income+Interest+Taxes+D+A
where:
D=Depreciation
A=Amortization
22. What are the types of financial analysis? Explain at least three.
This is a basic finance question for those intermediate in the field.
Liquidity Analysis is one of the many types. It utilizes the company’s balance sheet to gauge whether it can fulfill short-term obligations. This is done through the use of different methods including:
- Current Ratio ( Current Ratio = Current Assets/ Current Liabilities)
- Acid Test
- Net Working Capital
Leverage Analysis is used for evaluating a business’s performance. This is commonly done through finding the debt/equity ratio, DuPont analysis model, etc. Vertical Analysis refers to checking the different components of a company’s income statement. Each of these components is then divided by the business’s revenue. Using the result, an enterprise should compare with other businesses in its related industry.
23. Should you increase the consumer base by 1% or price by 1%?
You should tactfully respond to this finance interview question. Do mention that the decision primarily depends on demand and supply. As it is important to retain and increase customers, keeping the price the same will generate more profit. By increasing the price, a business may lose customers.
24. What are the components of the DuPont model and how are they calculated?
Asset turnover ratio, financial leverage, and net profit margin are the main aspects of the DuPont model. With these, a company’s return on equity (ROE) is evaluated.
Net Profit Margin is calculated with the following steps:
- Profit Margin = Net Income /Revenue
The formula for calculating the Asset Turnover Ratio is:
- Asset Turnover Ratio = Net Sales (or Revenue) / Average Assets
Financial Leverage is calculated by:
- Financial leverage = Average Assets / Average Equity
25. What are the seven Standards of Professional Conduct in the CFA Institute Code and Standards?
CFA Institute members and candidates must follow the Code of Ethics and the Standards of Professional Conduct. The Standards are organised into seven sections:
- Professionalism: knowledge of the law, independence and objectivity, misrepresentation, misconduct and competence. Where local law and the Code differ, members must follow the stricter of the two.
- Integrity of Capital Markets: not acting or causing others to act on material non-public information, and not engaging in market manipulation.
- Duties to Clients: loyalty, prudence and care; fair dealing among clients; suitability; fair and complete performance presentation; and preservation of confidentiality.
- Duties to Employers: loyalty to the employer, disclosure and approval of additional compensation arrangements, and responsibilities of supervisors to prevent violations.
- Investment Analysis, Recommendations and Actions: diligence and a reasonable basis for recommendations, clear communication with clients (distinguishing fact from opinion and disclosing the investment process and risks), and record retention.
- Conflicts of Interest: full disclosure of conflicts, giving client and employer transactions priority over personal trades, and disclosure of referral fees.
- Responsibilities as a CFA Institute Member or Candidate: not compromising the integrity of the CFA Institute or its exams, and correct reference to CFA Institute, the designation and the CFA Program.
A useful way to explain the logic in an interview: the order roughly moves from the individual (professionalism), to the market, to the client, to the employer, to the work product, to conflicts and finally to the profession itself.
In India, similar principles appear in SEBI regulations for investment advisers, research analysts and portfolio managers — for example, disclosure of conflicts and suitability requirements.
Note: Interviewers often follow up with a scenario — practise identifying which Standard applies to a given situation.
26. What is the mosaic theory, and how does it relate to the rules on material non-public information?
The mosaic theory allows an analyst to reach a conclusion that would be material by combining pieces of public information with non-material non-public information. Acting on such a conclusion does not violate Standard II(A), Material Non-public Information, even if the conclusion itself is something the company has not announced.
What is allowed:
- Analysing annual reports, regulatory filings, industry data and management commentary.
- Channel checks — speaking with distributors, dealers and customers about demand trends.
- Observing public facts, such as the number of trucks leaving a plant, footfall at stores or app download rankings.
- Speaking with company management about strategy and non-material details.
Individually none of these is material non-public information, but together they may lead an analyst to conclude, for example, that quarterly sales will beat consensus.
What is not allowed:
- Acting on information that is both material (likely to affect price or matter to a reasonable investor) and non-public — such as unannounced quarterly results, a pending merger or a dividend decision received from an insider.
- Causing others to trade on such information.
If an analyst receives such information, they should not trade, should encourage the company to disclose it publicly, and should inform compliance. Firms use firewalls, restricted lists and watch lists to manage the risk.
Indian context: the SEBI (Prohibition of Insider Trading) Regulations, 2015 prohibit trading while in possession of unpublished price sensitive information (UPSI) and require listed companies to maintain structured digital databases of people with access to UPSI.
Note: Analysts should keep records of their research process so they can demonstrate that a mosaic conclusion was built from legitimate sources.
27. What are the Global Investment Performance Standards (GIPS), and why do investment firms claim compliance?
The Global Investment Performance Standards (GIPS) are voluntary, ethical standards for calculating and presenting investment performance, created and administered by CFA Institute. Their purpose is fair representation and full disclosure, so prospective clients can compare managers on a consistent basis.
Key principles:
- Firm-wide compliance: compliance is claimed by the whole firm, as defined, not by an individual product or team. There is no partial compliance — a firm cannot claim to comply “except for” certain requirements.
- Composites: portfolios managed to a similar strategy are grouped into composites, and all actual, fee-paying, discretionary segregated accounts must be included in at least one composite. This prevents cherry-picking the best-performing accounts.
- Return calculation: time-weighted returns are generally required, removing the effect of client cash flows. Money-weighted returns are allowed in specific cases, such as private equity, where the manager controls cash flows.
- Disclosure: presentations must show relevant benchmark returns, fees (gross and net), measures of risk and dispersion, and required disclosures.
- Verification: independent third-party verification is optional but recommended. It tests firm-wide policies and procedures, not the accuracy of a single composite’s returns.
Why firms claim compliance:
- Credibility with institutional investors, consultants and pension funds, many of whom prefer or require GIPS-compliant managers.
- Access to global mandates — relevant for Indian asset managers and portfolio managers pitching to overseas investors.
- Stronger internal controls and data discipline.
In India, SEBI separately prescribes how portfolio managers report performance, but GIPS compliance remains a voluntary, globally recognised standard.
Note: A firm must meet all GIPS requirements before claiming compliance; misusing the claim is itself a breach of Standard III(D).
28. How should a CFA charterholder or CFA Program candidate correctly refer to the designation on a resume or in marketing material?
Standard VII(B), Reference to CFA Institute, the CFA Designation and the CFA Program, prohibits misrepresenting or exaggerating what the designation means or implying partial designations. It is a frequent interview question because many candidates get it wrong on their CVs and LinkedIn profiles.
Correct usage:
- Use “CFA” as an adjective, e.g. “Priya Sharma, CFA” or “Priya Sharma is a CFA charterholder”. Never use it as a noun (“she is a CFA”) or call it a “CFA degree”.
- Only members in good standing may use the designation — they must have been awarded the charter, pay annual dues and file the annual Professional Conduct Statement.
- Candidates may say they are enrolled, for example “Level II candidate in the CFA Program”, but only while registered for the next exam.
- Factual statements are allowed, such as “passed all three levels of the CFA exam on the first attempt”.
- You may describe the rigour of the programme and what it takes to earn the charter.
Violations:
- “CFA Level II” or “CFA (Level III cleared)” written as if it were a designation.
- “Chartered Financial Analyst (expected 2027)” or any implied partial or pending designation.
- Claiming or implying that charterholders achieve superior investment performance.
- Displaying “CFA” in a larger or more prominent font than the person’s name, or using it in a company name.
Note: If your charter lapses because you stop paying dues or filing the Professional Conduct Statement, you must stop using the designation until membership is restored.
29. What is the difference between time-weighted and money-weighted returns, and which should be used to evaluate a portfolio manager?
Both measure portfolio performance, but they treat external cash flows (client contributions and withdrawals) differently.
- Time-weighted return (TWR): break the evaluation period into sub-periods at each external cash flow, calculate the return for each sub-period, and geometrically link them: (1 + r1) × (1 + r2) × ... − 1. It removes the effect of the size and timing of cash flows.
- Money-weighted return (MWR): the internal rate of return of all cash flows into and out of the portfolio, including the ending value. It reflects the investor’s actual experience, including the effect of when money was added or withdrawn.
Example: an investor buys one share for ₹100. After a year it is worth ₹120 and she buys a second share. At the end of year 2 each share is worth ₹110.
- TWR: (120 ÷ 100) × (110 ÷ 120) − 1 = 10% over two years, about 4.9% a year.
- MWR: solve 100 × (1 + r)² + 120 × (1 + r) = 220, giving r = 0%. More money was invested just before the price fell, so the investor’s dollar-weighted (rupee-weighted) result is worse.
Which to use:
- Use TWR to evaluate managers who do not control client cash flows — mutual funds, portfolio managers, most discretionary mandates. It is the standard required by GIPS and used in most performance reports.
- Use MWR when the manager controls the timing of cash flows, as in private equity and venture capital funds where the general partner calls and distributes capital; it is also the right measure of an individual investor’s own experience.
Note: The gap between a fund’s TWR and its investors’ MWR often reveals poor investor timing — chasing performance after strong rallies.
30. Explain Type I and Type II errors in hypothesis testing, with an example from finance.
In hypothesis testing we start with a null hypothesis (H0) and decide, using sample data, whether to reject it. Because samples are imperfect, two kinds of error are possible.
| H0 is true | H0 is false | |
|---|---|---|
| Reject H0 | Type I error (false positive) | Correct decision |
| Fail to reject H0 | Correct decision | Type II error (false negative) |
- Type I error: rejecting a true null hypothesis. Its probability equals the significance level (α), commonly 5% or 1%.
- Type II error: failing to reject a false null hypothesis. Its probability is β, and the power of the test is 1 − β — the probability of correctly rejecting a false null.
Finance example: test whether a fund manager has skill. H0: the manager’s alpha equals zero.
- A Type I error concludes the manager has skill when the past outperformance was luck — you hire an average manager and pay active fees for nothing.
- A Type II error concludes there is no skill when the manager really does add value — you pass over a good manager.
Trade-offs and practical points:
- For a given sample size, lowering α reduces Type I errors but increases Type II errors.
- Larger samples (a longer track record) reduce both. Manager evaluation is hard precisely because return histories are short relative to their volatility.
- Testing many strategies or managers at once inflates the chance of false positives (data mining), so stricter significance thresholds are needed.
- The p-value is the smallest significance level at which H0 would be rejected.
Note: In backtesting, most “discovered” trading strategies are Type I errors — an interviewer will appreciate you mentioning that.
31. When you run a linear regression, for example to estimate a stock’s beta, what diagnostics would you check before trusting the results?
A regression such as Stock return = a + b × Market return + error gives you a beta estimate, but the estimate and its standard errors are only reliable if the model’s assumptions hold. A strong candidate checks both significance and assumptions.
1. Significance and fit
- t-statistics and p-values for each coefficient — is beta significantly different from zero (or from one)?
- R-squared — the share of variation explained. For a single stock against the Nifty 50, this also shows how much of its risk is systematic. In multiple regression, use adjusted R-squared, which penalises extra variables.
- F-test — whether the independent variables jointly explain the dependent variable.
2. Assumption violations
- Heteroskedasticity (non-constant error variance): coefficients remain unbiased but standard errors are unreliable, often too small, leading to false findings of significance. Detect with the Breusch-Pagan test; correct with robust (White) standard errors.
- Serial correlation (errors correlated over time, common in time series): with positive correlation, standard errors are understated. Detect with the Durbin-Watson or Breusch-Godfrey test; correct with Newey-West standard errors or by adding lagged variables.
- Multicollinearity (independent variables highly correlated): high R-squared but individually insignificant coefficients. Detect with variance inflation factors (a VIF above 5–10 is a warning); fix by dropping or combining variables.
- Model specification: omitted variables, wrong functional form or non-stationary data can bias results.
3. Practical choices for beta: the estimation window (two to five years), return frequency (weekly or monthly) and index choice can change the answer, so test sensitivity.
Note: Outliers — such as a single results-day move — can dominate a regression; always plot the data before relying on the coefficients.
32. What is covered interest rate parity, and how is a currency forward rate determined?
Covered interest rate parity (CIP) is a no-arbitrage condition linking spot and forward exchange rates to the interest rates of the two currencies. It says an investor should earn the same return by investing domestically as by converting to a foreign currency, investing there, and locking in the conversion back with a forward contract.
Formula (for a quote of price currency per unit of base currency, one-year horizon):
Forward = Spot × (1 + interest rate of price currency) ÷ (1 + interest rate of base currency)
For periods shorter than a year, scale the rates, e.g. (1 + i × days ÷ 360) using the relevant day-count convention.
Example: USD/INR spot is 80.00 (rupees per dollar). One-year rates are 6.5% in India and 4.5% in the US.
- Forward = 80.00 × 1.065 ÷ 1.045 ≈ 81.53.
- The dollar trades at a forward premium and the rupee at a forward discount, because the rupee earns the higher interest rate. The currency with the higher interest rate always trades at a forward discount.
Why it holds: if the actual forward were, say, 82.50, a trader could borrow rupees at 6.5%, convert them to dollars at spot, invest at 4.5%, and sell the dollar proceeds forward at 82.50 — locking in a riskless profit (covered interest arbitrage). Such trades quickly push the forward back towards parity, although capital controls and transaction costs can allow small deviations.
Contrast with uncovered interest parity: UIP says the expected future spot rate moves to offset interest differentials. It is not enforced by arbitrage and often fails in practice, which is what makes the carry trade profitable at times.
Note: This is why Indian exporters who sell dollars forward typically receive more rupees than the spot rate — they earn the forward premium.
33. How do FIFO and weighted average cost inventory methods affect financial statements when prices are rising?
Inventory cost-flow methods determine how the cost of goods available for sale is split between cost of goods sold (COGS) and ending inventory. Under Ind AS 2 and IFRS, companies may use FIFO (first in, first out), weighted average cost or specific identification. LIFO is not permitted under Ind AS or IFRS, although it is allowed under US GAAP.
With rising prices and stable or growing inventory levels:
| Item | FIFO | Weighted average |
|---|---|---|
| COGS | Lower (older, cheaper costs) | Higher, between old and new costs |
| Gross profit and net income | Higher | Lower |
| Income tax expense | Higher | Lower |
| Ending inventory | Higher, closer to current cost | Lower |
| Current ratio | Higher | Lower |
| Inventory turnover | Lower | Higher |
Analyst takeaways:
- FIFO gives a more current balance sheet value for inventory, but its COGS lags current replacement costs, so part of FIFO profit is an “inventory holding gain” that may not recur.
- Weighted average smooths the effect of price changes.
- When comparing a US company using LIFO with an Indian peer, use the disclosed LIFO reserve to convert the US company’s figures to a FIFO basis (inventory plus LIFO reserve, and COGS minus the change in the reserve).
- Inventory is carried at the lower of cost and net realisable value, so write-downs also matter for margins, especially in commodity-linked businesses.
Note: In a period of falling prices, all these effects reverse — FIFO then reports lower profits than weighted average.
34. What is the difference between capitalising and expensing a cost, and how does the choice affect financial ratios?
When a company incurs a cost, it can either expense it immediately in the income statement or capitalise it as an asset on the balance sheet and depreciate or amortise it over its useful life. Accounting standards set criteria — for example, Ind AS 23 requires borrowing costs on qualifying assets to be capitalised, and Ind AS 38 requires development costs to be capitalised only when specific conditions are met, while research costs are always expensed.
Effects of capitalising compared with expensing, in the early years:
- Net income: higher, because only a portion (depreciation) hits profit; later years show lower income as depreciation continues.
- Earnings volatility: lower, since large costs are spread out.
- Total assets and equity: higher.
- Cash flow from operations: higher, because the outflow is classified in investing activities. Total cash flow is the same either way.
- Leverage ratios: debt-to-equity and debt-to-assets look lower, because equity and assets are higher.
- Return ratios: ROA and ROE are usually higher in the first year; over time the effect depends on the pattern of spending.
- Interest coverage: capitalised interest does not appear as interest expense, which flatters coverage ratios.
Analyst adjustments:
- Add capitalised interest back to interest expense and to investing outflows when computing coverage and free cash flow.
- Compare capitalisation policies across peers — an IT or pharma company capitalising far more development spend than its peers may be inflating profits.
- Watch for sudden changes in policy or rising “capital work-in-progress” with no matching revenue.
Note: Aggressive capitalisation of operating costs was at the heart of major accounting frauds such as WorldCom — interviewers like candidates who connect the concept to earnings quality.
35. What warning signs suggest poor earnings quality or aggressive accounting in a company’s financial statements?
Earnings quality refers to how well reported profits reflect the true, sustainable economic performance of a business. High-quality earnings are backed by cash, recur, and come from core operations. Financial statement analysis in the CFA curriculum places strong emphasis on spotting red flags.
Revenue and receivables
- Receivables growing much faster than revenue (rising DSO), which may indicate channel stuffing or lenient credit terms.
- Large revenue recognised near period-end, bill-and-hold arrangements, or frequent changes in revenue recognition policy.
Cash flow versus profit
- Cash flow from operations persistently below net income — a high accruals ratio.
- Operating cash flow boosted by one-off items such as stretching payables or selling receivables.
Expenses and assets
- Aggressive capitalisation of costs, lengthening depreciation lives, or reducing provisions for doubtful debts and warranties.
- Inventory building faster than sales, suggesting obsolescence risk.
- Recurring “exceptional” or “one-time” charges, or large “other income” supporting profits.
Governance signals (particularly relevant in India)
- Large or complex related-party transactions with promoter group entities.
- High or rising promoter share pledging.
- Auditor resignations or qualified audit opinions, and frequent changes of CFO or auditor.
- Loans and advances to group companies, or cash balances that earn unusually low interest.
Tools: accruals ratios, cash conversion analysis, common-size statements, peer comparison, and models such as the Beneish M-score for manipulation risk.
Note: Always read the notes to accounts and the auditor’s report — most red flags appear there before they show up in the headline numbers.
36. How are investments in subsidiaries, associates and joint ventures accounted for under Ind AS?
The accounting depends on the degree of influence or control the investor has over the investee.
| Relationship | Typical test | Accounting method |
|---|---|---|
| Subsidiary (Ind AS 110) | Control | Full consolidation |
| Joint venture (Ind AS 111 and 28) | Joint control, rights to net assets | Equity method |
| Joint operation (Ind AS 111) | Joint control, rights to specific assets and obligations | Share of assets, liabilities, income and expenses |
| Associate (Ind AS 28) | Significant influence, presumed at 20% to 50% of voting power | Equity method |
| Financial asset (Ind AS 109) | No significant influence | Fair value through profit or loss, or through OCI |
Full consolidation: control exists when the investor has power over the investee, exposure to variable returns, and the ability to use its power to affect those returns — not merely a shareholding above 50%. The parent combines 100% of the subsidiary’s assets, liabilities, revenue and expenses line by line, and shows the outside shareholders’ portion as non-controlling interest.
Equity method: the investment is initially recorded at cost, then increased by the investor’s share of the investee’s profits and reduced by dividends received. The share of profit appears as a single line in the income statement.
Analyst implications:
- Equity-method income is non-cash until dividends are received.
- An associate’s debt does not appear on the investor’s balance sheet, which can hide leverage.
- In valuation, associates are excluded from consolidated EBITDA, so their value must be added separately in the EV-to-equity bridge, and non-controlling interest must be deducted for consolidated subsidiaries.
Note: Indian conglomerates often have many listed and unlisted group companies; a sum-of-the-parts valuation relies heavily on understanding these accounting methods.
37. What are the Modigliani-Miller propositions when corporate taxes are introduced, and what are their implications?
Modigliani and Miller (MM) first showed that, in a perfect market with no taxes, capital structure does not affect firm value. Introducing corporate taxes changes that conclusion because interest is tax-deductible.
Proposition I (with taxes):
- VL = VU + t × D, where VL is the value of the levered firm, VU the value of the unlevered firm, t the corporate tax rate and D the market value of debt.
- The term t × D is the present value of the interest tax shield, assuming permanent debt.
- Example: an unlevered firm worth ₹1,000 crore borrows ₹400 crore (to buy back shares) at a 25% tax rate. Its value rises to ₹1,000 + 0.25 × 400 = ₹1,100 crore.
Proposition II (with taxes):
- re = r0 + (r0 − rd) × (1 − t) × D/E, where re is the cost of equity, r0 the cost of capital of an all-equity firm and rd the cost of debt.
- The cost of equity still rises with leverage, because shareholders bear more financial risk, but more slowly than without taxes because of the (1 − t) factor.
- As a result, WACC falls as leverage increases.
Implication and its limits: taken literally, MM with taxes implies an optimal capital structure of nearly 100% debt. That does not happen in reality because of:
- costs of financial distress and bankruptcy;
- agency costs between shareholders and lenders;
- personal taxes on interest income, which reduce the net advantage of debt;
- information asymmetry and signalling effects.
This leads to the static trade-off theory: firms add debt until the marginal tax benefit equals the marginal expected cost of financial distress.
Note: The tax shield is only valuable if the firm has taxable profits — loss-making companies gain little from extra debt.
38. What are agency problems in corporate governance, and what mechanisms are used to control them?
An agency problem arises when one party (the agent) is expected to act in the interests of another (the principal) but has different incentives and better information. Corporate governance exists largely to manage these conflicts.
Main agency conflicts:
- Shareholders versus managers: managers may pursue empire building, excessive perquisites, entrenchment, or avoid value-creating but risky projects to protect their jobs.
- Controlling versus minority shareholders: especially important in India, where many companies are promoter-controlled. Risks include related-party transactions on unfair terms, diversion of resources to group entities (tunnelling), and decisions that favour the promoter.
- Shareholders versus creditors: shareholders may prefer riskier projects (asset substitution), pay large dividends or add debt, shifting risk to lenders.
Control mechanisms:
- Board structure: independent directors and board committees. Under SEBI LODR, listed companies must have at least one-third independent directors, rising to half where the chairperson is an executive or promoter-linked director.
- Audit committee oversight and approval of related-party transactions, with shareholder approval for material transactions where related parties cannot vote in favour.
- Executive compensation linked to long-term performance through ESOPs, deferred bonuses and clawbacks.
- Debt covenants that limit dividends, additional borrowing or asset sales, protecting creditors.
- External discipline: takeover threat, activist and institutional investors, proxy advisory firms, and stewardship codes for mutual funds and insurers.
- Disclosure and audit: transparent reporting and independent statutory auditors.
Note: Analysts increasingly integrate governance quality into valuation, for example by applying a higher discount rate or a holding-company discount to poorly governed groups.
39. When would you use a dividend discount model, a free cash flow to equity model or a residual income model to value a stock?
All three are intrinsic valuation models for equity, and with consistent assumptions they should give similar answers. The choice depends on which one best captures the company’s economics and data.
Dividend discount model (DDM)
- Value = present value of expected dividends at the cost of equity; the Gordon growth version is D1 ÷ (r − g).
- Best for mature, stable companies with a consistent payout policy linked to earnings — utilities, some public sector companies and established FMCG firms.
- Weak for companies that pay little or no dividend or whose dividends are unrelated to earning capacity.
Free cash flow to equity (FCFE) model
- Value = present value of cash available to shareholders after capex, working capital and net borrowing.
- Useful when dividends differ significantly from what the company could pay, or when valuing a controlling stake, where the buyer can change dividend policy.
- Less useful when free cash flow is negative for many years, as in fast-growing or capital-intensive businesses.
Residual income (RI) model
- RI = Net income − (Cost of equity × Beginning book value of equity). Value = Current book value + present value of expected future RI.
- Works well for companies with no dividends or negative free cash flow, and for banks and financial institutions where book value is meaningful and cash flows are hard to define.
- A larger share of value comes from current book value, so it is less dependent on terminal value.
- Relies on clean surplus accounting; items bypassing the income statement (through OCI) require adjustment.
Note: Interviewers often ask how to value an Indian private bank — the residual income model or a justified P/B, based on ROE versus cost of equity, is a strong answer.
40. How do you derive a justified P/E multiple from fundamentals, and what drives it?
A justified P/E is the multiple a stock should trade at given its fundamentals. It is derived from the Gordon growth model, P0 = D1 ÷ (r − g).
Leading (forward) P/E: divide both sides by next year’s earnings, E1:
P0 ÷ E1 = (D1 ÷ E1) ÷ (r − g) = Payout ratio ÷ (r − g)
Trailing P/E: using current earnings E0, where E1 = E0 × (1 + g):
P0 ÷ E0 = Payout ratio × (1 + g) ÷ (r − g)
Sustainable growth links the pieces: g = Retention ratio × ROE.
Example: a company earns an ROE of 15% and pays out 40% of earnings, so it retains 60%. Growth g = 0.60 × 15% = 9%. With a cost of equity of 12%:
- Justified forward P/E = 0.40 ÷ (0.12 − 0.09) ≈ 13.3x.
- If the stock trades at 20x forward earnings, it looks expensive relative to fundamentals — or the market expects higher growth or ROE than you do.
What drives P/E:
- Higher growth raises the multiple, but only if the growth is profitable.
- Lower risk (a lower cost of equity) raises the multiple.
- ROE relative to cost of equity is the key: retaining earnings to grow creates value only if ROE exceeds r. If ROE equals r, the justified P/E is simply 1 ÷ r, regardless of growth.
This is why Indian consumer companies with very high ROE and long growth runways trade at premium multiples, while businesses earning below their cost of capital trade at low ones.
Note: The same logic gives a justified P/B = (ROE − g) ÷ (r − g), widely used for banks.
41. How do modified duration and convexity together estimate a bond’s price change for a change in yield?
Duration and convexity are the two main tools for measuring a bond’s interest rate sensitivity.
- Macaulay duration is the weighted-average time to receive the bond’s cash flows, weighted by their present values.
- Modified duration = Macaulay duration ÷ (1 + yield per period). It approximates the percentage price change for a 1% (100 basis point) change in yield.
- Convexity measures the curvature of the price-yield relationship. Duration alone assumes a straight line, which underestimates prices after large yield moves in either direction.
Price change estimate:
%ΔP ≈ −Modified duration × Δy + ½ × Convexity × (Δy)²
Example: a bond with modified duration of 7 and convexity of 60 experiences a 50 basis point rise in yield (Δy = 0.005).
- Duration effect: −7 × 0.005 = −3.50%
- Convexity effect: ½ × 60 × (0.005)² = +0.075%
- Estimated price change ≈ −3.425%
For a 50 basis point fall in yield, the estimate is +3.50% + 0.075% = +3.575%. Positive convexity means prices rise more when yields fall than they drop when yields rise — a desirable property for investors.
Related measures:
- Effective duration is used for bonds with embedded options, whose cash flows change with rates: (P− − P+) ÷ (2 × P0 × Δcurve).
- Money duration and PVBP (price value of a basis point) express sensitivity in rupees, which traders and treasury desks use for hedging.
Note: Long-dated government bond funds in India can move sharply on RBI policy surprises precisely because of their high duration.
42. What are the main components of credit risk, and how would you analyse the credit quality of a corporate bond issuer?
Credit risk is the risk of loss because a borrower fails to pay interest or principal in full and on time. It is usually broken into three measurable components:
- Probability of default (PD): the likelihood that the issuer defaults over a given period.
- Loss given default (LGD): the percentage of the exposure lost if default occurs, equal to 1 − recovery rate. Secured and senior debt generally has a lower LGD.
- Exposure at default (EAD): the amount outstanding when default happens.
Expected loss = PD × LGD × EAD. For example, a 2% PD, 60% LGD and ₹100 crore exposure give an expected loss of ₹1.2 crore. The credit spread over government bonds compensates investors for expected loss plus liquidity risk, downgrade risk and a risk premium.
Analysing an issuer — the “four Cs”:
- Capacity: ability to service debt from cash flows — interest coverage (EBITDA ÷ interest), debt ÷ EBITDA, FFO ÷ debt, and the stability of the industry and business model.
- Collateral: quality and value of assets securing the debt, and seniority in the capital structure.
- Covenants: protective terms such as limits on further borrowing, dividends and asset sales.
- Character: management quality, governance, accounting conservatism and track record with lenders.
Credit ratings: in India, SEBI-registered agencies such as CRISIL, ICRA, CARE Ratings and India Ratings rate debt instruments; BBB− and above is investment grade. Ratings are useful but can lag reality — the IL&FS default in 2018, on debt rated at the top of the scale shortly before, showed the need for independent analysis.
Note: Also consider downgrade (migration) risk and spread widening, which can cause mark-to-market losses long before any actual default.
43. How do embedded call and put options affect a bond’s price, yield and interest rate sensitivity?
Bonds with embedded options give either the issuer or the investor a right that changes the bond’s cash flows depending on interest rates. Valuing them means valuing the option as well as the straight bond.
Callable bond (issuer’s option to redeem early):
- Value of callable bond = Value of straight bond − Value of call option. The investor has effectively sold a call to the issuer.
- Investors demand a higher yield as compensation.
- When rates fall, the issuer is likely to call and refinance, so the price rise is capped near the call price. This creates negative convexity at low yields, and investors face reinvestment risk.
- Investors should look at yield to call and yield to worst, not only yield to maturity.
Putable bond (investor’s option to sell back to the issuer):
- Value of putable bond = Value of straight bond + Value of put option.
- Investors accept a lower yield.
- When rates rise, the put sets a floor on price, as the investor can sell back at the put price and reinvest at higher rates. Putable bonds have positive convexity and lower sensitivity to rising rates.
Measuring risk:
- Effective duration must be used instead of modified duration, because cash flows change as rates change. A callable bond’s effective duration shortens as rates fall.
- Option-adjusted spread (OAS) strips out the option’s value, allowing fair comparison of credit and liquidity spreads with straight bonds. For a callable bond, OAS is lower than the nominal spread.
- Higher interest rate volatility increases option values: it lowers callable bond prices and raises putable bond prices.
Note: Additional Tier 1 bonds issued by Indian banks carry issuer call options, so investors must analyse the likelihood of the call rather than assume the bond will be redeemed on the first call date.
44. How is the no-arbitrage price of a forward contract determined, and how do dividends or carrying costs change it?
A forward price is set so that neither party can earn a riskless profit. The idea is cost of carry: buying the asset today and holding it until delivery must cost the same as agreeing to buy it forward.
Asset with no income or costs:
F0 = S0 × (1 + r)^T, where S0 is the spot price, r the annual risk-free rate and T the time in years. With continuous compounding, F0 = S0 × e^(rT).
Asset with income (dividends, coupons) or costs (storage, insurance):
F0 = (S0 − PV of income + PV of costs) × (1 + r)^T
Income reduces the forward price, because the holder of the forward does not receive it; costs increase it.
Example: a share trades at ₹1,000, the risk-free rate is 6% a year, the contract is for six months, and a ₹20 dividend is expected in three months.
- PV of dividend = 20 ÷ 1.06^0.25 ≈ ₹19.71
- F0 = (1,000 − 19.71) × 1.06^0.5 ≈ 980.29 × 1.02956 ≈ ₹1,009.27
Arbitrage if the price is wrong:
- If the market forward is above fair value: cash-and-carry — borrow, buy the asset spot, sell forward, and deliver at expiry.
- If it is below fair value: reverse cash-and-carry — short the asset, invest the proceeds, and buy forward.
Value versus price: a forward has zero value at initiation. Later, its value to the long is St − F0 ÷ (1 + r)^(T − t) for an asset without income.
Note: This is why NSE stock and index futures normally trade above spot — the gap reflects interest cost net of expected dividends.
45. What are the option Greeks, and how are they used to manage an options position?
The Greeks measure how an option’s price responds to changes in the factors that drive it. Traders and risk managers use them to understand and hedge exposures.
- Delta: the change in option price for a ₹1 change in the underlying. Call deltas range from 0 to +1, put deltas from −1 to 0. An at-the-money option has a delta of roughly 0.5 (in absolute terms). Delta is also used as the hedge ratio: a position long 100 calls with delta 0.6 behaves like 60 shares, so selling 60 shares makes it delta-neutral.
- Gamma: the rate of change of delta as the underlying moves. It is highest for at-the-money options close to expiry. High gamma means a delta hedge must be adjusted frequently; long options are long gamma, short options are short gamma.
- Vega: sensitivity to a 1 percentage point change in implied volatility. Long calls and puts both have positive vega — they gain when volatility rises. Vega is larger for longer-dated options.
- Theta: the change in option value as time passes (time decay). It is usually negative for long options and accelerates as expiry approaches, especially for at-the-money options.
- Rho: sensitivity to interest rates. Calls have positive rho, puts negative; it matters most for long-dated options.
How they fit together: there is a trade-off between gamma and theta. An option buyer pays time decay (negative theta) in exchange for positive gamma, benefiting from large moves. An option seller earns theta but is exposed to sudden large moves.
Practical use: a desk selling Nifty options will monitor net delta, gamma and vega across its book, hedge delta with futures, and watch India VIX as a gauge of implied volatility.
Note: Greeks are local measures — they change as prices, volatility and time change, so hedges must be rebalanced.
46. Explain the protective put and covered call strategies, including their payoffs, risks and when each is used.
Both strategies combine a long stock position with an option, but they serve opposite purposes.
Protective put = Long stock + Long put
- Works like insurance. The put sets a floor on the value of the holding, while upside is retained.
- Maximum loss = Stock price − Strike price + Premium paid.
- Breakeven = Stock price + Premium.
- Used when an investor wants to keep a position but protect against a sharp fall — for example, ahead of results or an uncertain event.
Covered call = Long stock + Short call
- Generates income from the premium received, in exchange for capping upside at the strike price.
- Maximum profit = Strike price − Stock price + Premium received.
- Breakeven = Stock price − Premium.
- Downside protection is limited to the premium; the investor still bears most of the stock’s downside.
- Used when the investor expects the stock to be flat or rise modestly.
Example: stock at ₹500.
| Strategy | Option | Maximum loss | Maximum gain | Breakeven |
|---|---|---|---|---|
| Protective put | Buy ₹480 put for ₹12 | ₹32 | Unlimited | ₹512 |
| Covered call | Sell ₹540 call for ₹10 | ₹490 (if stock falls to zero) | ₹50 | ₹490 |
Related strategy: combining both — long stock, long put and short call — creates a collar, which limits both downside and upside and can be structured at close to zero net premium.
Note: Covered calls are not free income — in strong rallies the investor gives up gains, which is the true cost of the premium.
47. How do fee structures work in hedge funds and private equity funds, including hurdle rates, high-water marks and clawbacks?
Alternative investment funds typically charge two layers of fees, and the terms around them strongly affect investors’ net returns.
1. Management fee
- A fixed annual percentage — often 1–2% — charged on assets under management (hedge funds) or on committed capital during the investment period and invested capital afterwards (private equity).
2. Incentive fee (performance fee or carried interest)
- A share of profits, traditionally around 20% — hence the phrase “2 and 20”.
- Hurdle rate: the minimum return that must be earned before incentive fees apply. With a hard hurdle, the fee is charged only on returns above the hurdle; with a soft hurdle, once the hurdle is cleared the fee applies to all profits.
- High-water mark: in hedge funds, incentive fees are charged only on gains above the fund’s highest previous NAV. If NAV goes from ₹100 to ₹90 and then to ₹105, the fee applies only to the ₹5 above ₹100, not the ₹15 recovery.
Private equity distribution waterfalls:
- Whole-of-fund (European) waterfall: investors receive all contributed capital plus the preferred return before the general partner earns carry — more investor-friendly.
- Deal-by-deal (American) waterfall: carry is paid on each profitable exit, so the GP is paid earlier.
- Clawback: requires the GP to return carry received earlier if later losses mean it was overpaid over the life of the fund.
- Catch-up: after the hurdle, the GP may receive a larger share until it reaches its agreed carry percentage.
Indian context: hedge-fund-like strategies operate mostly as Category III AIFs, and private equity and private credit as Category II AIFs, under the SEBI (Alternative Investment Funds) Regulations, 2012.
Note: Always compare funds on net-of-fee returns; a strong gross return can shrink sharply after fees.
48. What are REITs and InvITs in India, and how would you analyse and value them?
Real Estate Investment Trusts (REITs) and Infrastructure Investment Trusts (InvITs) are listed trust structures, regulated by SEBI under separate 2014 regulations, that let investors own units in a portfolio of income-producing assets.
- REITs hold mainly completed, rent-generating commercial real estate such as office parks and shopping malls. At least 80% of the value must be in completed and income-generating assets.
- InvITs hold infrastructure such as toll roads, power transmission lines, gas pipelines and telecom towers.
- Both have a sponsor, an investment manager and a trustee, and must distribute at least 90% of net distributable cash flows to unitholders, making them yield-oriented investments.
Key analysis areas:
- Asset quality: location, occupancy, tenant mix and concentration, weighted average lease expiry and rent escalation clauses for REITs; traffic, tariff mechanisms, concession tenure and counterparty quality for InvITs.
- Leverage: net debt to asset value, interest coverage and refinancing risk.
- Sponsor and governance: related-party transactions and the pipeline of assets the sponsor may transfer.
- Distribution composition: distributions may be interest, dividend or repayment of capital, each taxed differently in the hands of investors.
Valuation approaches:
- Net asset value (NAV): independent valuations of the assets minus debt, per unit; units may trade at a premium or discount to NAV.
- Distribution yield compared with government bond yields and peers.
- Price to FFO or AFFO: funds from operations adds back depreciation; adjusted FFO also deducts maintenance capex.
- DCF of distributions, especially for InvITs with finite concession lives, where part of each payout is a return of capital.
Note: For a toll-road InvIT, a high yield is not the same as a high return — the asset’s value declines to zero as the concession ends.
49. What is the difference between the capital market line and the security market line?
Both lines come from modern portfolio theory and the CAPM, but they measure risk differently and apply to different sets of investments.
Capital market line (CML)
- Combines the risk-free asset with the market portfolio (the tangency portfolio on the efficient frontier).
- E(Rp) = Rf + [(E(Rm) − Rf) ÷ σm] × σp
- The x-axis is total risk (standard deviation).
- Its slope is the market portfolio’s Sharpe ratio.
- It applies only to efficient, fully diversified portfolios. Portfolios on the line to the left of the market portfolio involve lending at the risk-free rate; those to the right involve borrowing.
Security market line (SML)
- The graphical form of the CAPM.
- E(Ri) = Rf + βi × (E(Rm) − Rf)
- The x-axis is systematic risk (beta).
- Its slope is the market risk premium.
- It applies to all assets and portfolios, efficient or not, because in equilibrium only systematic risk is priced — unsystematic risk can be diversified away.
| Feature | CML | SML |
|---|---|---|
| Risk measure | Standard deviation | Beta |
| Applies to | Efficient portfolios only | Any security or portfolio |
| Slope | Market Sharpe ratio | Market risk premium |
Using the SML: if an analyst’s forecast return for a stock plots above the SML, the stock appears undervalued (positive alpha); if it plots below, it appears overvalued.
Note: A single stock will usually plot below the CML because it carries diversifiable risk, yet it can still plot exactly on the SML.
50. What are the Treynor ratio, Jensen’s alpha and the information ratio, and when is each appropriate?
These are risk-adjusted performance measures that complement the Sharpe ratio. Each uses a different definition of risk, so the right choice depends on how the portfolio fits into the investor’s overall holdings.
- Treynor ratio = (Rp − Rf) ÷ βp. Excess return per unit of systematic risk. Appropriate when the portfolio is one part of a larger, well-diversified set of holdings, so only beta risk matters.
- Jensen’s alpha = Rp − [Rf + βp × (Rm − Rf)]. The return earned above what the CAPM predicts for the portfolio’s beta. Positive alpha suggests the manager added value after adjusting for market risk.
- Information ratio = (Rp − Rb) ÷ Tracking error. Active return over the benchmark divided by the standard deviation of that active return. It measures the consistency of a manager’s outperformance and is the standard metric for evaluating active managers against a benchmark.
- M² (Modigliani-Modigliani) rescales the portfolio to the market’s volatility, expressing the Sharpe ratio as a percentage return that is easy to compare with the market.
Example: a fund returns 15% with a beta of 1.2. The risk-free rate is 7% and the market returns 13%.
- Treynor = (15 − 7) ÷ 1.2 ≈ 6.67%, versus 6% for the market (beta of 1).
- CAPM required return = 7% + 1.2 × (13% − 7%) = 14.2%, so Jensen’s alpha = 0.8%.
Which to use:
- For an investor’s entire portfolio: Sharpe ratio (total risk).
- For one diversified component: Treynor ratio or Jensen’s alpha.
- For an active fund against its benchmark: information ratio.
Indian context: SEBI requires mutual fund schemes to be benchmarked against the Total Return Index (TRI) of their benchmark, so alpha and information ratio should be calculated against TRI, which includes dividends.
Note: Beta-based measures are only as good as the beta estimate and the benchmark chosen.