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You are examining three bonds with a par value of $1,000 (you receive $1,000 at maturity) and are concerned with what would happen to their market value if interest rates (or the market discount rate) changed
You are examining three bonds with a par value of $1,000 (you receive $1,000 at maturity) and are concerned with what would happen to their market value if interest rates (or the market discount rate) changed. The three bonds are Bond A-a bond with 4 years left to maturity that has an annual coupon interest rate of 8 percent, but the interest is paid semiannually. Bond B-a bond with 11 years left to maturity that has an annual coupon interest rate of 8 percent, but the interest is paid semiannually. Bond C-a bond with 15 years left to maturity that has an annual coupon interest rate of 8 percent, but the interest is paid semiannually. What would be the value of these bonds if the market discount rate were a. 8 percent per year compounded semiannually? b. 5 percent per year compounded semiannually? c. 18 percent per year compounded semiannually? d. What observations can you make about these results? a. If the market discount rate were 8 percent per year compounded semiannually, the value of Bond A is $ (Round to the nearest cent.)
Expert Solution
Use PV function in EXCEL to find the price of the bond
=PV(rate,nper,pmt,fv,type)
a. rate=yield to maturity/2=8%/2=4%
nper=4 years*2=8
pmt=(coupon rate*face value)/2=(8%*1000)/2=80/2=40
fv=1000
=PV(4%,8,40,1000,0)=1000
Price of the bond=$1000
b. rate=5%/2=2.5%
nper=11 years*2=22
pmt=40
fv=1000
=PV(2.5%,22,40,1000,0)=1251.48
Price of the bond=$1251.48
c. rate=18%/2=9%
nper=15 years*2=30
pmt=40
fv=1000
=PV(9%,30,40,1000,0)=486.32
Price of the bond=$486.32
d. When the interest rates are below the coupon rate, the price of the bond is tarding at premium (higher than the face value)
When the interest rates are above the coupon rate, the price of the bond is tarding at discount (below than the face value)
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