An investor buys a bond with the following characteristics: Maturity - 10 years Coupon...

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Finance

An investor buys a bond with the following characteristics:

  • Maturity - 10 years
  • Coupon - 4.5%, paid once per year
  • Nominal Value - 100

The yield to maturity at the time of purchase is 8.50%. The investor sells the bond immediately after the sixth coupon payment, when the yield to maturity rises to 9.50%.

  • a.What is the investors realised annual rate of return after the sale of the bond, assuming that the investor can reinvest received coupons at the yield to maturity?
  • b.What is the Macaulay duration of the above bond, at the original time of purchase?
  • c.Use the modified Macaulay duration to calculate what the price of the above bond would have been immediately after purchase, if the yield to maturity had dropped to 6.5%.
  • d.An accurate answer for part (c) is 85.32. Explain why your answer to part (c) differs from this. What are the implications of this effect for bond investors?

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