question archive Eight years ago, Camerson and Co

Eight years ago, Camerson and Co

Subject:FinancePrice:3.87 Bought7

Eight years ago, Camerson and Co. issued 25-year coupon bonds. The yield to maturity at the time of issuance was 8 percent and the bonds sold at 110% of par value. The bonds are currently selling at par value. What is the current yield to maturity for these bonds? [Assume that the coupon is paid annually]. (Round your answer to 2 decimal places and record as a percent but without a percent sign. For example, record 18.3893 6.45 % as 18.39).

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Answer:

Let the Face Value of Bond be $1000
Price of Bond = [C [1 - (1+r)^-t] / r] + [F / (1+r)^t]
 
C - Coupon Payment
r - YTM
F - Face Value
t - Years
 
Price = [C * [1 - (1.08^-25)/0.08] + [1000 / 1.08^25]
1100 = 10.67478C + 146.01790
or, 10.67478C = 953.9821
or, C = 89.37
 
Coupon Rate = 8.94%
 
When Price of Bond is equal to par value, then coupon rate is the YTM