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Financial Management · The valuation of debt and other financial assets

How to Value Redeemable Debt in ACCA FM

Updated 11 October 2026 · Fact-checked

The market value of redeemable debt is the present value of its future cash flows. Discount the annual interest using an annuity factor, discount the redemption payment using a single discount factor, both at the investors' required yield (pre-tax cost of debt), then add the two present values together.

Understand Valuation of Redeemable Debt

A bond is a promise. The issuer pays fixed interest each year and repays a set amount on a set date. That repayment is called redemption. An investor who buys the bond is buying those cash flows.

What is a stream of future cash flows worth today? Its present value, discounted at the return investors demand. That is the whole idea. The market price of a bond is the present value of the interest plus the present value of the redemption payment.

The discount rate is the yield or pre-tax cost of debt that investors require on bonds of this risk and term. It is not the coupon rate. The coupon sets the cash interest. The yield sets the price. If the yield is above the coupon, the bond sells below its redemption value. If the yield is below the coupon, it sells above.

The interest is the same each year, so it is an annuity. Use the annuity factor from the tables. The redemption is a single amount in the final year, so use one discount factor. Add the two results.

Use the pre-tax yield because investors, not the company, set the market price. The tax shield only matters when you calculate the company's after-tax cost of debt for WACC.

Key rules to remember

Market value of redeemable debt
V₀ = I × AF(r%, n) + R × DF(r%, n)
I = annual interest (coupon rate × nominal value). R = redemption value. r = investors' required yield. n = years to redemption. Assumes interest is paid annually in arrears.
Annuity factor
AF = [1 − (1 + r)^−n] ÷ r
Use it if the rate or year is not in the tables you are given. It gives the same value as the annuity table.
Discount factor
DF = 1 ÷ (1 + r)^n
Applies to the single redemption payment at the end of year n.
Interest per bond
I = coupon rate × nominal value
Use nominal (par) value, not market value. Coupon of 6% on $100 nominal is $6 a year.
Total market value of an issue
Total value = (V₀ per $100 nominal ÷ 100) × total nominal value in issue
Scale the price per $100 up to the whole issue.

How to solve Valuation of Redeemable Debt questions

Use this order for any redeemable bond valuation. It also works if the question gives the yield in a different form or asks for the total value of the issue.

  1. 1Write down the nominal value, coupon rate, years to redemption, redemption value and the required yield.
  2. 2Calculate the annual interest: coupon rate × nominal value. Ignore market price here.
  3. 3Choose the discount rate. Use the investors' pre-tax yield. Do not use the after-tax cost of debt or the coupon rate unless the question says so.
  4. 4Find the annuity factor for the yield and the number of years. Multiply by the annual interest.
  5. 5Find the discount factor for the final year. Multiply by the redemption value, which may be at par or at a premium.
  6. 6Add the two present values. This is the value per bond or per $100 nominal.
  7. 7If asked for the total market value, scale up to the full nominal amount in issue.
  8. 8Sense check: yield above coupon means a price below redemption value (for redemption at par). Yield below coupon means a price above.

Quickest way: Two-line table method

When to use it: Use this in Section A or in an OT case when you need one price quickly and the factors are given in the tables.

  1. Write two lines: Interest: I × AF and Redemption: R × DF. Fill in the numbers.
  2. Add the two lines and compare with the options. Check the direction first: if yield is above the coupon and redemption is at par, the answer must be below the redemption value, which can remove two options at once.
  3. Do not recompute for tiny rounding gaps. The options are usually far enough apart that table rounding does not matter.

Common mistakes in Valuation of Redeemable Debt

  • Discounting at the coupon rate

    The coupon is the most visible percentage in the question.

    Fix: The coupon only gives the cash interest. Always discount at the yield or required return.

  • Using the after-tax cost of debt as the discount rate

    Students link debt with the tax shield from WACC work.

    Fix: Market value reflects what investors earn before the company's tax. Use the pre-tax yield.

  • Using the annuity factor for the redemption payment, or the single factor for the interest

    Both factors come from the same table and look alike.

    Fix: Interest comes every year, so use the annuity factor. Redemption comes once, so use the discount factor for year n.

  • Calculating interest on the market price

    Students confuse interest with the yield they earn.

    Fix: Interest is always coupon rate × nominal value. It does not change when the market price changes.

  • Forgetting the redemption premium

    Students assume bonds are always redeemed at $100.

    Fix: Read the redemption terms. If the bond is redeemed at 110, use R = 110 for each $100 nominal.

  • Using the wrong number of years

    Students count from the issue date, not from the valuation date.

    Fix: Use the years remaining until redemption at the valuation date.

Worked examples

Example 1

A bond has a nominal value of $100, pays 6% interest annually in arrears and is redeemable at par in 5 years. Investors require a yield of 8%. Annuity factor (8%, 5 years) = 3.993. Discount factor (8%, year 5) = 0.681. Calculate the market value of the bond.

Show the solution
  1. Annual interest = 6% × $100 = $6.
  2. PV of interest = $6 × 3.993 = $23.96 (23.958).
  3. PV of redemption = $100 × 0.681 = $68.10.
  4. Market value = $23.96 + $68.10 = $92.06.
  5. Check: yield (8%) is above coupon (6%) and redemption is at par, so the price should be below $100. It is.

Answer: Market value is about $92.06 per $100 nominal.

Example 2

A company has $2,000,000 nominal of 5% bonds in issue. Interest is paid annually in arrears. The bonds will be redeemed in 4 years at $110 per $100 nominal. Investors require a yield of 6%. Annuity factor (6%, 4 years) = 3.465. Discount factor (6%, year 4) = 0.792. Calculate the value per $100 nominal and the total market value of the issue.

Show the solution
  1. Annual interest per $100 nominal = 5% × $100 = $5.
  2. PV of interest = $5 × 3.465 = $17.325.
  3. PV of redemption = $110 × 0.792 = $87.12.
  4. Value per $100 nominal = $17.325 + $87.12 = $104.445, about $104.45.
  5. Number of $100 units = $2,000,000 ÷ $100 = 20,000.
  6. Total market value = 20,000 × $104.445 = $2,088,900.
  7. Check: the coupon is below the yield, but the redemption premium of $10 lifts the price above $100. The premium outweighs the low coupon here.

Answer: About $104.45 per $100 nominal, so a total market value of about $2,088,900.

Exam tips

  • Read the question for the rate to use. Phrases like 'investors require' or 'yield' mean the discount rate. Ignore the coupon for discounting.
  • Check whether redemption is at par or at a premium before you start. This is a common trap in OT questions.
  • Use the factors given in the exam tables. Keep three decimal places and do not worry about small rounding differences.
  • In Section C, show the interest line and the redemption line separately with labels. You can earn method marks even if a factor is wrong.
  • Use the direction check (yield above or below coupon) to remove wrong options in Section A and OT cases.

Practice questions from The valuation of debt and other financial assets

Valuation of Redeemable Debt in other exams

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

Valuation of Redeemable Debt: frequently asked questions

What is the market value of a redeemable bond?

It is the present value of all future interest payments plus the present value of the redemption payment. You discount both at the investors' required yield. The result is what the bond should trade for.

Why does the bond price fall when the yield rises?

The fixed coupon and redemption amounts are discounted at a higher rate, so their present value falls. The bond must offer a higher return to new buyers, which means a lower price.

Do I use the pre-tax or after-tax cost of debt to value a bond?

Use the pre-tax yield. The market price is set by what investors earn. The after-tax cost of debt is for the company's WACC, not for the bond's market value.

How is valuing redeemable debt different from irredeemable debt?

Irredeemable debt has no redemption payment, so its value is the annual interest divided by the yield. Redeemable debt adds the present value of the final repayment, so you need both an annuity factor and a discount factor.