Keenan industries has a bond outstanding with 15 years to maturity, an 8.75% coupon paid semiannually, and a $1,000 par value. the bond has a 6.50% nominal yield to maturity, but it can be called in 6 years at a price of $1,050. what is the bonds nominal yield to call? select one: a. 5.01% b. 5.27% c. 5.54% d. 5.81% e. 6.10%

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%