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ACCA Strategic Professional · Advanced Financial Management · Financing acquisitions and mergers

Alpha Co offers a convertible bond with a nominal value of $100, 6% annual coupon, redeemable at par in 4 years. Each bond is convertible into 20 Alpha shares at maturity. Alpha's current share price is $4.00 and is expected to grow at 6% a year. What is the conversion value per bond at the end of year 4, to the nearest dollar?

The conversion value is about $101 per bond. The share price grows from $4.00 at 6% for four years to roughly $5.05, and multiplying by 20 shares gives $101, which is slightly above the $100 redemption value, so holders would convert.

  1. A$80
  2. B$101Correct
  3. C$105
  4. D$126

Explanation

Expected share price in year 4 = 4.00 x 1.06^4 = 4.00 x 1.26248 = $5.05. Conversion value = 20 x 5.05 = $101. Since $101 exceeds the $100 redemption value, conversion is preferable. $80 ignores growth; $126 wrongly compounds on the conversion ratio of 25 or the bond value.

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