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1. What is the market price of a Zero Coupon Bond that pays $1,000 face at matur

ID: 2630059 • Letter: 1

Question

1. What is the market price of a Zero Coupon Bond that pays $1,000 face at maturity in 8 years from now?
Current market interest rate (YTM) for such a bond is 9.0% (use semi-annual discounting

2. What is the current market price of a bond paying a 7.0% coupon that matures in 8 years? Current market
interest rate (YTM) now is 5.0% for such bonds. (Treat bond interest as paid semi- annually)

3. What is the market yield-to-maturity (YTM) of a 7% Coupon Bond that pays $1,000 face at maturity in
6 years from now? The current market price of this bond is $880. (use annual discounting,fin. calculator or approximate YTM formula)

4. What is the market price of a 5% Coupon Bond that pays $1,000 face at maturity in 10 years from now?
Current market interest rate (YTM) for such a bond is 8.0% (use semi-annual discounting)

Explanation / Answer

1)

price of zero cpupon bond = 1000/(1+9%/2)^16 = 494.47

2)

price = 45 * PVIFA(5%/2,16) + 1000 * PVIF(5%/2,16)

= 45 *13.055 + 1000 * 0.6736

=1261.08