ACCA Applied Skills · Financial Management · Estimating the cost of capital
Orla Co has 6% loan notes in issue, redeemable at par ($100 nominal) in 5 years. The current market price is $95 ex-interest. The tax rate is 20%. Discount factors at 5% are: annuity years 1-5 4.3295, year 5 0.7835. At 6%: annuity 4.2124, year 5 0.7473. What is the post-tax cost of debt, to the nearest 1%?
The post-tax cost of debt is about 6.0%. It is the IRR of the cash flows: $95 paid now, post-tax interest of $4.80 for five years and $100 redemption. At 6% the present value is about $94.95, matching the price.
- A5.0%
- B7.0%
- C8.0%
- D6.0%Correct
Explanation
Post-tax interest is 6 × 0.8 = 4.80. At 5%: 4.80 × 4.3295 + 100 × 0.7835 = 20.78 + 78.35 = 99.13. At 6%: 4.80 × 4.2124 + 100 × 0.7473 = 20.22 + 74.73 = 94.95, which is almost exactly $95. The IRR is therefore about 6.0%. About 7% would be the pre-tax yield, which ignores tax relief.
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