CA Final · Advanced Financial Management
Security Valuation for CA Final AFM: Chapter Guide
Security valuation means finding the intrinsic value of a bond or share by discounting its expected cash flows at a required return. Solve it in order: list the cash flows, pick the right discount rate, discount, then compare value with market price and conclude buy, hold or sell.
What this chapter covers
Security Valuation covers how you put a fair price on financial assets. For bonds, you discount coupons and redemption value, then measure yield, duration and convexity to judge interest rate risk. You also read the term structure of interest rates to get spot rates and forward rates. For equity, you value shares using dividends, earnings multiples and free cash flows.
Every method rests on one idea: value is the present value of future cash flows, discounted at a rate that reflects risk. Bond questions have contractual cash flows, so the work is mostly arithmetic and interpretation. Equity questions have uncertain cash flows, so you must assume growth, payout and a required return, and state those assumptions clearly.
This chapter links directly to other parts of Advanced Financial Management. The required return on equity comes from the cost of capital and CAPM work. Free cash flow valuation connects to business valuation and mergers. Duration and convexity link to interest rate risk management and portfolio management. Learn this chapter well and those chapters become easier.
Security valuation questions are calculation-heavy, but the steps are predictable, so you can score well with practice. The same tools appear in case scenarios, where you must decide whether a security is overpriced or underpriced and justify it in a line or two. Because the numbers must reconcile, a clean working layout earns step marks even when a final figure slips. The ideas also carry into Paper 6, where you may value a security inside a larger case.
Security Valuation: topics in the order to study them
- 1Bond Valuation and Yield MeasuresIt builds the core skill of discounting cash flows and defines price, coupon and yield, which every later topic uses.
- 2Bond Duration and ConvexityIt extends bond pricing to measure how price moves when yield changes, so you need bond pricing first.
- 3Term Structure of Interest Rates and Spot RatesIt teaches you to discount each cash flow at its own spot rate, which refines bond pricing once the basics are firm.
- 4Equity Valuation: Dividend Discount ModelsIt moves from fixed to uncertain cash flows and introduces growth, using the same discounting logic you now know.
- 5Earnings-Based and Relative Valuation ModelsIt uses earnings and multiples such as P/E, and it makes sense once you see how growth and required return drive value in dividend models.
- 6Free Cash Flow and Value-Based ValuationIt is the broadest method, needing cash flow forecasts, discount rates and terminal value, so it comes last.
How to prepare Security Valuation
Treat this chapter as one method applied to different cash flows. Practise by writing the same layout each time: cash flows, discount rate, present value, conclusion.
- Learn the bond price formula and compute it by hand for a 3 to 5 year bond. Know the link between coupon rate, yield and whether the bond trades at a discount, par or premium.
- Practise yield measures: current yield, yield to maturity by trial and interpolation, and yield to call where given. Show two trial rates and interpolate neatly.
- Work duration and convexity in a table: time, cash flow, discount factor, present value, and weighted time. Then use the price change estimate and state its limits.
- Draw out spot rates and forward rates from given yields, and price a bond using spot rates. Check that your forward rate reconciles with the spot rates you started from.
- Solve dividend discount questions for zero growth, constant growth and multi-stage growth. Note the condition that required return must exceed growth in the constant growth model.
- Practise P/E, earnings yield and free cash flow valuation. Always separate enterprise value from equity value, and subtract debt correctly.
- Finish each question with a conclusion comparing intrinsic value to market price. Revise by redoing past questions without looking at solutions.
Common mistakes in Security Valuation
Discounting at the coupon rate instead of the required yield.
Fix: Use the coupon only to find cash flows. Always discount at the market required return or yield given.
Using D0 instead of D1 in the constant growth model.
Fix: Check whether the given dividend is just paid or expected next year. Compute D1 = D0 × (1 + g) when needed.
Applying the constant growth formula when growth is not below the required return.
Fix: Check ke > g first. If growth is higher in early years, use a multi-stage model.
Errors in the duration table, such as wrong time weights or forgetting redemption value in the final year.
Fix: Add coupon and redemption in the final year, then check that the present values total the bond price.
Forgetting to subtract debt when moving from enterprise value to equity value.
Fix: Label each result as enterprise value or equity value, and reconcile before computing value per share.
Ending without a conclusion on over or undervaluation.
Fix: Compare intrinsic value with market price and state the action in one line, with the reason.
Last-day revision: Security Valuation
- Bond value = Σ coupon ÷ (1 + r)^t + redemption value ÷ (1 + r)^n, discounting at the required yield.
- If yield > coupon rate, the bond trades below par; if yield < coupon rate, it trades above par.
- Current yield = annual coupon ÷ market price. It ignores capital gain or loss.
- YTM is the rate that makes the present value of cash flows equal to the market price.
- Macaulay duration = Σ (t × PV of cash flow) ÷ bond price. Modified duration = Macaulay duration ÷ (1 + y) for annual compounding.
- Approximate price change % ≈ −modified duration × change in yield. Convexity improves this estimate for larger yield changes.
- Forward rate from spot rates: (1 + s2)² = (1 + s1) × (1 + f), where f is the one-year rate one year ahead.
- Constant growth model: P0 = D1 ÷ (ke − g), valid only when ke > g.
- D1 = D0 × (1 + g). Do not use D0 in the numerator by mistake.
- Earnings-based value = EPS × P/E multiple. Earnings yield = EPS ÷ price.
- Enterprise value from FCFF discounted at WACC; equity value = enterprise value − debt (adjusted for cash where given).
- In multi-stage models, discount the terminal value back from the year it is calculated.
Security Valuation practice questions
- A 6-year zero-coupon bond is trading in the market at a yield to maturity of 8% per annum. What is its Macaulay duration?
- A 9% annual-coupon bond of face value ₹1,000 is quoted at ₹920 and will be redeemed at par after 5 years. Using the approximate yield to mat…
- Kaveri Foods Ltd expects EPS of ₹20 and earnings growth of 15% a year. Comparable listed firms trade at an average PEG ratio of 1.2 (P/E div…
- A bond priced at ₹1,000 has a Macaulay duration of 4.2 years and a yield to maturity of 5% per annum (annual compounding). Using modified du…
- Kaveri Textiles bonds have a face value of ₹1,000, a 9% annual coupon and 5 years to maturity, redeemable at par. The bond currently trades …
- Kaveri Textiles Ltd has an FCFF of ₹100 lakh. Interest expense is ₹24 lakh, the tax rate is 25%, and the company raised net new borrowings o…
- Narmada Engineering Ltd is expected to report EPS of ₹25 next year. It pays out 60% of earnings, its cost of equity is 12% and dividends are…
- Sundaram Textiles has issued a bond of face value ₹1,000 carrying a 10% annual coupon, with exactly 3 years left to redemption at par. Inves…
Security Valuation in other exams
The same ground in other exams, if you are preparing for more than one or want another angle on it.
Security Valuation: frequently asked questions
Which topic in Security Valuation should I start with?
Start with Bond Valuation and Yield Measures. Present value of cash flows is the base for duration, spot rates and equity models, so a strong start saves time later.
Do I need to memorise all the formulas?
You need the core ones by heart: bond price, YTM interpolation, duration, constant growth model and forward rates. Understand why each works, because case questions often change the data slightly.
How do I handle YTM without a financial calculator?
Pick two trial rates, one giving a price above the market price and one below. Calculate both present values, then interpolate. Show each step in your working.
What is the best way to answer a valuation case scenario MCQ?
Identify the model first, then write down the cash flows and the discount rate. Compute the value and compare it with the market price. Check that your answer matches the direction of the conclusion.
How is free cash flow valuation different from the dividend discount model?
The dividend model values equity from dividends paid to shareholders. Free cash flow valuation discounts cash available to the firm, usually at WACC, then deducts debt to reach equity value. It works even when a firm pays no dividends.