Bond has a face value of $1,000 currently trading at $714.The bond has a coupon rate of 4% paid semi-annually with 16 years left to maturity. Yield to maturity (YTM) of a bond is the required rate of return expected on holding the bond till maturity. When the YTM of the bond is higher than the coupon value, the bond is said to be trading at a discount and when it is lower than the coupon value, then the bond is trading at a premium. YTM calculation is a trial and error process, however, we can calculate YTM using a financial calculator as follows: INT = PMT = coupon amount FV = M = maturity value PV = Price of the bond (input as a negative value) N = number of periods Yield to Call (YTC) on the other hand, is the rate of return which the investors expect if the bond is redeemed or called before the maturity period. YTC is generally higher than YTM, since the bondholders are not able to earn interest on the period between the time when bond is called and the maturity time. The calculation is same as the YTM of the bond except that in the maturity value, call price of the bond is used We can calculate YTM using a financial calculator as follows: INT = PMT = coupon amount FV = CP = call price PV = Price of the bond (input as a negative value) N = number of periods

Question

Four Years ago Messy House Painting issued a 20-year bond with a $1000 maturity value and a 4 percent coupon rate of interest. Interest is paid semiannually. The bond is currently selling for $714. (a) What is the bond’s yield to maturity? (b) If the bond can be called in three years for a redemption price of $1,016, what is the bond’s yield to call?

Answer 1

Question

Chapter 6, Problem 13PROB

Summary Introduction

Bond has a face value of $1,000 currently trading at $714.The bond has a coupon rate of 4% paid semi-annually with 16 years left to maturity.

Yield to maturity (YTM) of a bond is the required rate of return expected on holding the bond till maturity. When the YTM of the bond is higher than the coupon value, the bond is said to be trading at a discount and when it is lower than the coupon value, then the bond is trading at a premium.

YTM calculation is a trial and error process, however, we can calculate YTM using a financial calculator as follows:

INT = PMT = coupon amount

FV = M = maturity value

PV = Price of the bond (input as a negative value)

N = number of periods

Yield to Call (YTC) on the other hand, is the rate of return which the investors expect if the bond is redeemed or called before the maturity period. YTC is generally higher than YTM, since the bondholders are not able to earn interest on the period between the time when bond is called and the maturity time. The calculation is same as the YTM of the bond except that in the maturity value, call price of the bond is used

We can calculate YTM using a financial calculator as follows:

INT = PMT = coupon amount

FV = CP = call price

PV = Price of the bond (input as a negative value)

N = number of periods

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