Question: 1. ) Consider a 4 5/8 bond maturing 8/15/95, trading at 100:21 for settlement 2/15/94. Assume you purchase the bond on 2/15/94, and you sell
1. ) Consider a 4 5/8 bond maturing 8/15/95, trading at 100:21 for settlement 2/15/94. Assume you purchase the bond on 2/15/94, and you sell it on 2/15/95. Let y denote the initial yield to maturity. Let denote the reinvestment rate of the coupon payments. Let denote the yield to maturity on the bond at the time sale. All three rates are semi-annual. If y = = = 2.0846%, what is the (semi-annual) rate of return (RET) on your holding of this bond?
2. You are holding a 2-year 10% (annualized) coupon bond with face value $1,000 now. The interest rate now is 5% (semi-annual). What is the Macaulay Duration now? What is the Modified Duration now? When the interest rate (semi-annual) increases to 5.5% tomorrow, what is the actual price change in this bond? And what is the bond price change using modified duration approximation? Which one is larger in absolute value?
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