A Japan-based company, Sumo Gyms, Inc., issues a 35-year, semi-annual coupon bond, with a ¥300 million par value. The coupon rate is given as 6.20%, and the yield to maturity is 7.15.
a. What is the value of the semi-annual coupon on the bond?
b. What is the price of the bond?
Information provided:
Par value=future value= 300 million yen
Time= 35 years*2= 70 semi-annual periods
Coupon rate= 6.20%/ 2= 3.10%
Yield to maturity= 7.15%/2 = 3.5750% per semi-annual
a.Value of semi-annual coupon = 3.10%*300 million
= 9.30 million yen.
The price of the bond is calculated by computing the present value.
Enter the below in a financial calculator to compute the present value:
FV= 300
N= 70
PMT= 9.30
I/Y= 3.5750
Press the CPT key and PV to compute the present value.
The value obtained is 263.55.
Therefore, the price of the bond is 263.55 million yen.
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