7. A convertible bond has the following features: Face Value: $1,000 Maturity: 2
ID: 2633094 • Letter: 7
Question
7. A convertible bond has the following features:
Face Value: $1,000
Maturity: 20 years
Annual coupon: $80
Conversion Price: $100
Market Price of the Convertible Bond: $800
a. The bond may be converted into how many shares?
b. What is the current value of the convertible as a bond if prevailing interest rates are 11%?
c. What is the current value of the convertible as a stock if the current stock price is $75 per share?
d. Based on (b) and (c), what is the premium reflected in the Market Price?
e. If the stock price increases to $93 per share and the premium stays the same, what is the expected Market Price of the convertible?
Explanation / Answer
a)
no of shares = 800/100 = 8
b)
current value
= 80 * [1-(1+0.11)^-20]/0.11 + 1000/1.11^20
= 761.10
c)
current value = 8 * 75 = 600
d)
premium = 161.10
e)
market price = 161.10 + 93 * 8 = 905.10
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