GAMA Co.'s 15-year bonds have an annual coupon rate of 9.5%. Each bond has face value of $1,000 and makes semiannual interest payments. If you require an 11.0% nominal yield to maturity (YTM) on this investment, what is the maximum price you should be willing to pay for the bond? Is this bond selling at a premium or discount? What will happen to the price of the bond as you get closer to the maturity date?

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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GAMA Co.'s 15-year bonds have an annual coupon rate of 9.5%. Each bond has face value of $1,000 and makes semiannual interest payments. If you require an 11.0% nominal yield to maturity (YTM) on this investment, what is the maximum price you should be willing to pay for the bond?

Is this bond selling at a premium or discount?

What will happen to the price of the bond as you get closer to the maturity date?

Please show work in excel

Expert Solution
Step 1

a. Compounding periods per year = Semi Annually = 2

b. Semi-Annual Coupon rate = Annual Coupon rate / Compounding periods per year  = 9.50% / 2 = 4.75%

c. Face Value = $1000

d. Number of periods = # of years * Compounding periods = 15 * 2 = 30 periods

e. YTM per period = YTM per annum / Compounding periods per year  = 11% / 2 = 5.50%

we are using Excel Formula "PV(RATE,NPER,PMT,FV)" to calculate Maximum price 

RATE = YTM per period

NPER = Number of periods

PMT = Semi-Annual Coupon

FV = Maturity value

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