Calculate the price of a zero-coupon bond that matures in 14 years if the market interest rate is 6.10 percent. Assume semiannual compounding.
Bonds have normally par value of $ 1,000. | ||||||||||
Price of bond is the present value of cash flow from bond. | ||||||||||
Zero coupon bond does not pay interest.So,price of zero coupon bond is the present value of par value of bond. | ||||||||||
Price of bond | = | Par Value x Present value of 1 | ||||||||
= | $ 1,000 | x | 0.4312 | |||||||
= | $ 431.18 | |||||||||
Working: | ||||||||||
Present Value of 1 | = | (1+i)^-n | Where, | |||||||
= | (1+0.0305)^-28 | i | 6.10%/2 | = | 0.0305 | |||||
= | 0.4312 | n | 14*2 | = | 28 | |||||
Get Answers For Free
Most questions answered within 1 hours.