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ACCA Applied Skills · Financial Management · The valuation of debt and other financial assets

Vantor Co has a 5% convertible loan note, $100 nominal, currently priced at $90 and redeemable in 5 years. Holders may instead convert into 20 shares. The current share price is $3.50, growing at 3% a year. Using the discount tables, which is closest to the pre-tax cost of this convertible debt?

The cost is about 7.5%. Conversion value is only about $81, so holders redeem at $100. The IRR of paying $90 now and receiving $5 a year plus $100 at year 5 lies between 7% and 8%, and interpolation gives roughly 7.5%.

  1. A7.5%Correct
  2. B5.0%
  3. C8.3%
  4. D10.0%

Explanation

Conversion value = 3.50 × 1.03^5 × 20 = about $81.15, below the $100 redemption value, so holders redeem. Find the IRR of −90, +5 for 5 years and +100 at year 5. At 7%: 5 × 4.100 + 100 × 0.713 = 91.80. At 8%: 5 × 3.993 + 100 × 0.681 = 88.07. Interpolating: 7 + 1.80/3.73 = about 7.5%. The 5.0% option is just the coupon rate.

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