question archive Convertible Bond Analysis Fifteen years ago, Roop Industries sold $400 million of convertible bonds
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Convertible Bond Analysis
Fifteen years ago, Roop Industries sold $400 million of convertible bonds. The bonds had a 40-year maturity, a 5.75% coupon rate, and paid interest annually. They were sold at their $1,000 par value. The conversion price was set at $62.30, and the common stock price was $58 per share. The bonds were subordinated debentures and were given an A rating; straight nonconvertible debentures of the same quality yielded about 8.60% at the time Roop's bonds were issued.
Calculate the premium on the bonds — that is, the percentage excess of the conversion price over the stock price at the time of issue. Do not round intermediate calculations. Round your answer to two decimal places.
%
What is Roop's annual before-tax interest savings on the convertible issue versus a straight-debt issue? Do not round intermediate calculations. Enter your answer in millions. For example, an answer of $25,500,000 should be entered as 25.5. Round your answer to two decimal places.
$ million per year
At the time the bonds were issued, what was the value per bond of the conversion feature? Do not round intermediate calculations. Round your answer to the nearest cent.
$ per bond
Suppose the price of Roop's common stock fell from $58 on the day the bonds were issued to $34.25 now, 15 years after the issue date (also assume the stock price never exceeded $62.30). Assume interest rates remained constant. What is the current price of the straight-bond portion of the convertible bond? Do not round intermediate calculations. Round your answer to the nearest cent. Enter all amounts as a positive number.
$
What is the current value if a bondholder converts a bond? Do not round intermediate calculations. Round your answer to the nearest cent.
$ per share
Do you think it is likely that the bonds will be converted?
-Select-YesNoItem 6
The bonds originally sold for $1,000. If interest rates on A-rated bonds had remained constant at 8.60% and if the stock price had fallen to $34.25, then what do you think would have happened to the price of the convertible bonds? (Assume no change in the standard deviation of stock returns.) Round your answers to the nearest cent. Enter all amounts as a positive number.
The value of straight bond would have -Select-decreasedincreasedItem 7 from $ at the time of issue to $ fifteen years later.
Now suppose that the price of Roop's common stock had fallen from $58 on the day the bonds were issued to $34.25 at present, 15 years after the issue. Suppose also that the interest rate on similar straight debt had fallen from 8.60% to 5.75%. Under these conditions, what is the current price of the straight-bond portion of the convertible bond? Do not round intermediate calculations. Round your answer to the nearest dollar. Enter all amounts as a positive number.
$ per bond
What is the current value if a bondholder converts a bond? Do not round intermediate calculations. Round your answer to the nearest cent.
$ per share
What do you think would have happened to the price of the bonds?
-Select-The price of the bonds will be slightly more than $1,000.The price of the bonds will be slightly less than $1,000.The price of the bonds will not change.Item 12
Ans.
a.) Premium on the bond = (Conversion price - Market price)/ Market price = (62.30-58)/58 = 7.41%
Therefore the premium on the bond is equal to 7.41%
b.) annual before-tax interest savings on the convertible issue versus a straight-debt issue =
Interest on the bonds if they are convertible - interest on straight bonds
= 400 million*5.75% - 400 million*8.60% = 23,000,000 - 34,400,000 = 11.4 Million
Therefore, the savings on the annual basis is 11.4 million
c.) Conversion ratio = 1,000/$62.30 = 16:1
Therefore, the current price of the share = 16*58 = $928
Therefore, the price of the bond is $928
d.) Value of coupons = 5.75%*1000 = 57.50
Value of straight bond = PV of all coupon payments till maturity + PV of Bond par value
= PVIF(8.60%,25)*57.50 + 1000/(1+0.086)^25
= 10.15*57.50 + 1000/7.8658 = 583.62 + 127.13 = $710.75
Value on conversion of the bond = 16*34.25 = $548
The holders of the bond wont go for converison because they will receive less amount as the current market price of the bond is less than their straight value of the bond.
e.) Since, the price of the conversion value of the bond is less than the price of the bond calculated above, thus the price of the bond remain $710.75
f.) Value of coupons = 5.75%*1000 = 57.50
Value of straight bond = PV of all coupon payments till maturity + PV of Bond par value
= PVIF(5.75%,25)*57.50 + 1000/(1+0.0575)^25
= 13.093*57.50 + 1000/4.045 = 752.84 + 247.21 = $1000.058
Value on conversion of the bond = 16*34.25 = $548
Therefore, the price of the bond is $1000.