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A perpetual bond with a par value of $1,000 and a coupon rate of 7.75% has a current market price of $900. What is its yield to maturity

a. 9.32%
b. 8.33%
c. 7.92%
d. 9.45%
e. 8.61%

User Shateek
by
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1 Answer

4 votes

Answer: e. 8.61%

Step-by-step explanation:

This is a perpetual bond so the price is calculable by;

Price = Coupon / Yield to Maturity

Coupon = 7.75% * 1,000

= $77.50

900 = 77.50/ YTM

900 * YTM = 77.50

YTM = 77.50/900

= 8.61%

User Deepak Paramesh
by
4.8k points