Calculate the yield to maturity on the following bonds. a. A 9.5 percent coupon (paid semiannually) bond, with a $1,000 face value and 20 years remaining to maturity. The bond is selling at $960. (Do not round intermediate calculations. Round your answer to 3 decimal places. (e.g., 32.161)) Yield to maturity % per year b. An 10 percent coupon (paid quarterly) bond, with a $1,000 face value and 10 years remaining to maturity. The bond is selling at $902. (Do not round intermediate calculations. Round your answer to 3 decimal places. (e.g., 32.161)) Yield to maturity % per year c. An 9 percent coupon (paid annually) bond, with a $1,000 face value and 6 years remaining to maturity. The bond is selling at $1,052. (Do not round intermediate calculations. Round your answer to 3 decimal places. (e.g., 32.161)) Yield to maturity
a) | Coupon rate=(9.5%/2) | 4.8% | |
Years to maturity=(20*2)=nper | 40 | Years | |
Future value=FV | $1,000 | ||
Present Value=PV | -960 | ||
Coupon Payment=PMT | $48 | ||
Number of payments | 2 | ||
RATE(nper,Pmt,PV,FV,Type) | |||
RATE(40,48,-960,1000,0) | 5.034% | ||
Yield to Maturity= | 10.068% | ||
b) | Coupon rate=(10%/4) | 2.5% | |
Years to maturity=(10*4)=nper | 40 | Years | |
Future value=FV | $1,000 | ||
Present Value=PV | -902 | ||
Coupon Payment=PMT | $25 | ||
Number of payments | 4 | ||
RATE(nper,Pmt,PV,FV,Type) | |||
RATE(40,25,-902,1000,0) | |||
Yield to maturity | 2.918% | ||
yield to maturity=(2.918%*4) | 11.674% | ||
c ) | Coupon rate= | 9.0% | |
Years to maturity=nper | 6 | Years | |
Future value=FV | $1,000 | ||
Present Value=PV | -1052 | ||
Coupon Payment=PMT | $90 | ||
Number of payments | 1 | ||
RATE(nper,Pmt,PV,FV,Type) | |||
RATE(90,6,-1052,1000,0) | |||
Yield to maturity | 0.527% | ||
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