Skip to content

Financial Management · Nature and purpose of the valuation of business and financial assets

Valuing Debt, Preference Shares and Other Financial Assets for ACCA FM

Updated 11 October 2026 · Fact-checked

The value of any debt or preference share is the present value of its future cash returns, discounted at the return investors require. Irredeemable securities use a perpetuity: value = annual payment ÷ required yield. Redeemable securities discount each payment and the redemption. Convertibles are worth at least the higher of bond value and conversion value.

Understand Valuing Debt, Preference Shares and Other Financial Assets

A financial security is a promise of future cash. A bond pays interest and, usually, a final repayment. A preference share pays a fixed dividend. What you would pay today is what those future cash flows are worth today. So the method is always the same: discount the cash flows at the return investors demand.

The required yield is the discount rate. It reflects the risk of the issuer and the market interest rates. It is not the coupon rate. The coupon is the fixed interest on the nominal value, for example 6% on $100 nominal gives $6 a year. If the market yield is above the coupon, the bond is worth less than nominal. If the yield is below the coupon, it is worth more.

Irredeemable securities never repay capital, so the cash flows are a perpetuity. Redeemable securities pay interest for a fixed number of years and then repay a redemption value, which may be at par or at a premium. Zero-coupon bonds pay no interest. They are issued at a discount and you value only the redemption amount.

A convertible bond gives the holder a choice at a future date: take the cash redemption or convert into a fixed number of shares. Its value has a floor, which is the value as a plain bond. It also has a conversion value, which is the expected future share price multiplied by the number of shares received. Rational holders take the higher one.

Yield to maturity (YTM) works the other way round. You know the market price and you find the discount rate that makes the present value of the cash flows equal that price. It is an IRR calculation. For valuation, use the investor's pre-tax yield. Tax adjustments belong to the company's cost of capital, not to the market value.

Key rules to remember

Irredeemable debt value
MV = I ÷ Kd
I is the annual interest in $ and Kd is the investor's required pre-tax yield. Rearranged, Kd = I ÷ MV.
Redeemable debt value
MV = Σ [I ÷ (1 + Kd)^t] + R ÷ (1 + Kd)^n
R is the redemption value and n is the years to redemption. Use an annuity factor for the interest and a single discount factor for R.
Zero-coupon bond value
MV = R ÷ (1 + Kd)^n
There is no interest, so only the redemption amount is discounted.
Yield to maturity by interpolation
YTM ≈ L + [NPV at L ÷ (NPV at L − NPV at H)] × (H − L)
Discount the cash flows at two rates L and H, compare each present value with the market price, and interpolate. The NPVs should have opposite signs.
Conversion value
Conversion value = P0 × (1 + g)^n × conversion ratio
P0 is the current share price, g is expected share price growth, n is years to conversion, and the ratio is the number of shares per bond. This is a value at the conversion date, not today.
Convertible bond value
Value ≈ PV of interest + PV of the higher of (redemption value, conversion value)
Compare the conversion value with the redemption value at the conversion date, since both are year n amounts. Then discount the higher one at the straight-debt yield. If redemption is higher, this equals the floor value. The market price can sit above this because the option has value before the conversion date.
Irredeemable preference shares
MV = D ÷ Kp
D is the annual preference dividend and Kp is the required yield. Dividends are fixed and are not tax-deductible.
Redeemable preference shares
MV = Σ [D ÷ (1 + Kp)^t] + R ÷ (1 + Kp)^n
Same structure as redeemable debt, using dividends in place of interest.

How to solve Valuing Debt, Preference Shares and Other Financial Assets questions

Use this routine for any question that asks you to value a bond, loan note, preference share or convertible, or to find a yield.

  1. 1Identify the security: irredeemable, redeemable, zero-coupon, preference share or convertible. This fixes the cash-flow pattern.
  2. 2Calculate the annual payment from the nominal value and the coupon or dividend rate. Apply the rate to nominal value, not to market value.
  3. 3Choose the discount rate. Use the investor's required yield, and the pre-tax figure for debt. Do not use the coupon unless the question says it is the yield.
  4. 4Write the timeline. Mark the interest years, the redemption year and the redemption amount, including any premium.
  5. 5Discount: use the annuity factor for the interest and the single-year factor for the redemption. For irredeemable securities divide by the yield.
  6. 6For a convertible, calculate both the floor value and the conversion value, then compare them. Say which one the holder would choose.
  7. 7For YTM, try two rates that bracket the price, then interpolate. Check that your answer lies between the two rates.
  8. 8State the value per $100 nominal or in total as asked, and check it for sense: a yield above the coupon means a value below nominal.

Quickest way: Coupon versus yield sense-check, then factors

When to use it: Use this in Section A and OT case questions, where you have about three minutes per question and no partial marks.

  1. Compare the coupon with the required yield first. This tells you whether the answer must be above or below nominal value, and it removes wrong options at once.
  2. For irredeemable securities, just divide: payment ÷ yield. Convert a percentage yield to a decimal carefully.
  3. For redeemable debt, calculate interest × annuity factor plus redemption × discount factor. Use the tables given in the exam.
  4. For a convertible, compute the conversion value at the conversion date and compare it with the redemption value at that same date. Alternatively, discount the conversion value to today and compare it with the PV of redemption. Then value the loan note as PV of interest plus PV of the higher of the two.
  5. For YTM, try the coupon rate and one rate on the correct side of it. The yield is above the coupon if the price is below nominal, and below it if the price is above nominal.

Common mistakes in Valuing Debt, Preference Shares and Other Financial Assets

  • Discounting at the coupon rate instead of the required yield

    Both are shown as percentages and students assume the coupon is the return.

    Fix: The coupon sets the cash flows. The yield sets the discount rate. Check which one the question gives as the market or required return.

  • Applying the coupon rate to market value

    Students want to use the number they are given for the price.

    Fix: Interest is always coupon rate × nominal value. Only the yield calculation compares interest with market value.

  • Deducting tax from interest when valuing debt

    Cost of debt questions use post-tax figures, so the habit carries over.

    Fix: Investors value debt using the pre-tax cash flows they receive. Only apply tax when the question asks for the company's cost of debt.

  • Forgetting the redemption amount, or ignoring a redemption premium

    Students focus on the interest annuity and stop there.

    Fix: Always list the final-year cash flow as interest plus redemption. If the bond is redeemable at a premium, use the premium amount, such as $110 per $100 nominal.

  • Ignoring the choice in a convertible and valuing it only as debt

    The conversion terms look like extra information.

    Fix: Always compute the conversion value as well. State which is higher and which the investor would choose.

  • Interpolating YTM with two rates on the same side of the price

    Students pick rates without checking the sign of the NPV.

    Fix: Check that one NPV is positive and the other is negative. If not, choose a new rate before interpolating.

Worked examples

Example 1

A bond has a nominal value of $100, pays 5% annual interest and is redeemable at par in 3 years. Investors require a yield of 7%. (a) Find its value. (b) The bond is trading at $95. Estimate the yield to maturity.

Show the solution
  1. Annual interest = 5% × $100 = $5.
  2. Discount factors at 7%: year 3 factor = 1 ÷ 1.07³ = 0.8163. Annuity factor for 3 years = (1 − 0.8163) ÷ 0.07 = 2.6243.
  3. (a) PV of interest = $5 × 2.6243 = $13.12. PV of redemption = $100 × 0.8163 = $81.63. Value = $94.75.
  4. (b) The price of $95 is below nominal, so the yield is above the 5% coupon. At 7% the PV is $94.75, which is just below $95, so the yield is just under 7%. Try 6% as the lower rate.
  5. At 6%: annuity factor = 2.6730 and year 3 factor = 0.8396. PV = 5 × 2.6730 + 100 × 0.8396 = 13.37 + 83.96 = $97.33. NPV against the price = 97.33 − 95 = +2.33.
  6. At 7%: PV = $94.75. NPV = 94.75 − 95 = −0.25.
  7. Interpolate: YTM = 6% + [2.33 ÷ (2.33 + 0.25)] × (7% − 6%) = 6% + 0.90% = 6.90%.

Answer: (a) The value is about $94.75 per $100 nominal. (b) The yield to maturity is about 6.9%.

Example 2

A company has a $100 nominal 5% convertible loan note in issue. In 3 years the holder can redeem at par or convert into 40 ordinary shares. The share price is now $2.00 and is expected to grow by 5% a year. A similar non-convertible bond yields 7%. Estimate the floor value and the conversion value, compare the two choices on a like-for-like basis, and say what the holder will do.

Show the solution
  1. Floor value: interest = $5 a year. At 7%, the annuity factor for 3 years = 2.6243 and the year 3 factor = 0.8163.
  2. PV of interest = 5 × 2.6243 = $13.12. PV of redemption = 100 × 0.8163 = $81.63. Floor value = $94.75.
  3. Conversion value: expected share price in 3 years = $2.00 × 1.05³ = $2.00 × 1.157625 = $2.3153.
  4. Conversion value in 3 years = 40 × $2.3153 = $92.61.
  5. Compare at the conversion date (year 3): redemption gives $100 and conversion gives $92.61. The holder would redeem rather than convert, as cash is higher.
  6. Check on a present value basis at the investor's 7% yield: conversion value today = 92.61 × 0.8163 = $75.60, against PV of redemption = $81.63. Redemption is still higher. Do not compare the $92.61 year 3 amount with the $94.75 floor value, because they are on different time bases.
  7. Since redemption is the better choice, the loan note is valued as straight debt: PV of interest $13.12 + PV of redemption $81.63 = $94.75. The market price may be a little higher because the conversion option still has some value.

Answer: The floor value is about $94.75. The conversion value is about $92.61 in year 3, or about $75.60 in today's money, against $100 redemption in year 3 (about $81.63 today). The holder is expected to redeem at par, so the loan note is valued as debt at about $94.75, possibly slightly higher in the market because of the option.

Exam tips

  • Do the sense-check first. If the yield exceeds the coupon, any answer above nominal value is wrong. This often saves you in a Section A question.
  • In OT cases, read all five questions before calculating. They often reuse the same bond, and the interest and discount factors can be calculated once.
  • Write each step in Section C: interest, factors, present values and total. Marks go for the method even when you make an arithmetic slip.
  • For convertibles, always show both the floor value and the conversion value, then state the decision. A calculation without the comparison loses marks.
  • Use the annuity and discount factor tables supplied. Check the rate and the number of years before you multiply.

Practice questions from Nature and purpose of the valuation of business and financial assets

Valuing Debt, Preference Shares and Other Financial Assets in other exams

The same ground in other exams, if you are preparing for more than one or want another angle on it.

Valuing Debt, Preference Shares and Other Financial Assets: frequently asked questions

How do you value irredeemable debt?

Divide the annual interest by the investor's required yield. For example, $6 interest with a 8% yield gives $75. The same method works for irredeemable preference shares, using the dividend.

How do you value redeemable debt in ACCA FM?

Discount the annual interest using an annuity factor and discount the redemption value using a single-year factor, both at the required yield. Add the two present values. The result is the market value for the bond.

How do you calculate yield to maturity?

Find the discount rate that makes the present value of interest and redemption equal to the market price. Calculate the NPV at two rates that bracket the price, then interpolate. The answer is an estimate, not an exact figure.

How do you value a convertible bond?

Find the floor value as a plain bond and the conversion value from the expected share price and the conversion ratio. The holder takes the higher. The market price is normally at least the floor value.

Is tax included when valuing debt and preference shares?

No. Investors value the cash flows they receive, so use the pre-tax yield. Tax enters only when you calculate the company's cost of debt for WACC.