You decide to construct the following bond portfolio on October 31, 2023: - You buy 50 of
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Question:
- You buy 50 of Bond A which is a semiannual 8% coupon bond with a maturity date of 10/31/2065.
- You buy 25 of Bond B which is a semiannual 9% coupon bond with a maturity date of 4/30/2042.
- You buy 100 of Bond C which is an annual zero-coupon bond with a maturity date of 10/31/2030
- You buy 75 of Bond D which is an annual 5% coupon bond with a maturity date of 10/31/2036.
- You buy 55 of Bond E which is an annual 6% coupon bond with a maturity date of 10/31/2040.
Assume these bonds have a face value of $1,000 and the YTM is currently 6.5%
Part 1 : Find the price of each bond.
Part 2 : Find the total amount invested in each Bond, total portfolio value, and the weight each bond represents in the Portfolio.
Part 3: Find the Duration of Each Bond and Compute the Portfolio Duration and Portfolio Modified Duration.
Part 4 : Using the Duration Approximation Formula, estimate the percentage change in the value of your portfolio if interest rates increased to 7.15%.
Part 5 : Calculate the new price of each Bond using the new YTM of 7.15%.
Part 6 : Calculate the new value of your portfolio after the change in rates.
Part 7: Calculate the actual dollar amount and percentage change in your portfolio value from the increase in rates to 7.15%.
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