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Answer:
b. 5.27%
Explanation:
First, find the PV of the bond today. With a financial calculator, input the following and adjust the variables to semi-annual basis;
Face value; FV = 1000
Maturity of bond; N = 15*2 = 30
Semiannual coupon payment = (8.75%/2)*1000 = 43.75
Semi annual interest rate; I/Y = 3.25%
then compute Price; CPT PV= 1,213.547
Next, with the PV , compute the yield to call (I/Y) given 6 years;
Maturity of bond; N = 6*2 = 12
Semiannual coupon payment = (8.75%/2)*1000 = 43.75
Price; PV= -1,213.547
Face value; FV = 1,050
then compute Semiannual interest rate; CPT I/Y = 2.636%
Convert the semiannual rate to annual yield to call = 2.636*2 = 5.27%
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