Question

1. Set up the calculation to arrive at the market value of a new bond having a face amount of $1,000, annual interest rate of 7% payable semiannually, callable at the end of five years (call price of 106) and 25 years remaining maturity at a 6% yield to call. (Do not use a calculator. Show the appropriate equation and data substitution.) At this yield will the bond trade at par, a discount or a premium

Answer 1

The market value of a new bond having a face amount of $1,000, annual interest rate of 7% payable semiannually will be $1042.651014

Step-by-step explanation:

Given the following:

Face value=1000

Coupon rate=7%

Yield to call=6%

Time to call=5

The formula is given as:

Price=Face Value*(coupon rate/2)/(yield to call/2)*(1-1/(1+yield to call/2)^(2*time to call))+Face Value/(1+yield to call/2)^(2*time to call)

Therefore:

Price =1000*(7%/2)/(6%/2)*(1-1/(1+6%/2)^(2*5))+1000/(1+6%/2)^(2*5)

=$1042.651014

At yield of 6%, the bond will trade at premium because bond trades at premium when coupon rate is more than yield