In: Finance
Consider a convertible bond as follows: par value = $1,000; coupon rate = 9.0% market price of convertible bond = $1,000 conversion ratio = 37 estimated straight value of bond = $500 yield to maturity of straight bond = 18.1% Assume that the price of the common stock is $20 and that the dividend per share is $0.75 per year. Answer the below questions.
(a) Calculate each of the following (1) conversion value, (2) market conversion price, (3) conversion premium per share, (4) co nversion premium ratio, (5) premium over straight value, (6) favorable income differential per share, and (7) premium payback period.
(b) Answer the below questions if the price of the common stock increases from $20 to $40. What will be the approximate return realized from investing in the convertible bond?
1) Conversion value = Stock price * Conversion ratio
Conversion value = $20 * 37
Conversion value = $740
2) Market conversion price = Convertible security market price / Conversion ratio
Market conversion price = $1000 / 37
Market conversion price = $27.03
3) Conversion premium per share = Market conversion price - Market price per share
Conversion premium per share = $27.03 - $20
Conversion premium per share = $7.03
4) Conversion premium ratio = Conversion premium per share / Market price per share
Conversion premium ratio = $7.03 / $20
Conversion premium ratio = 0.3515 or 35.15%
5) Premium over straight value = Market price of bond - Straight value of bond
Premium over straight value = $1,000 - $500
Premium over straight value = $500
6) Favourable income differential per share = Coupon of bond per share - Dividend per share
Here
Coupon of bond per share = (Par value * Coupon rate) / Conversion ratio
Coupon of bond per share = ($1,000 * 9%) / 37
Coupon of bond per share = $2.43 per share
Dividend per share = $0.75 per share
Now,
Favourable income differential per share = $2.43 - 0.75
Favourable income differential per share = $1.68
7) Premium payback period = Market conversion premium per share / Favourable income differential per share
Premium payback period = $7.03 / $1.68
Premium payback period = 4.19 years