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Bond A is a coupon bond. It has a face value of $100. The coupon rate is 5%, and the market interest rate is 10%.
- Bond A is a coupon bond. It has a face value of $100. The coupon rate is 5%, and the market interest rate is 10%. The bond matures in 30 years. Using Excel's functions, calculate price and duration of bond A.
- Calculate the bond price (column 3) and duration (column 2) for all yield to maturities given in the below table.
- Calculate bond price change (column 4) using bond price calculated in column 3 of the table. For example, bond price changes when yield to maturity 13% vs yield to maturity 14%, and so on.
- Calculate bond price change using duration (column 5) for all yield to maturities given in the table below.
- Plot yield to maturity on x -axis and duration on y-axis. Is the plot straight line (linear) or a curve (non-linear)?
- Plot yield to maturity on x-axis and bond price on y-axis. Is the plot straight line (linear) or a curve (non-linear)?
- Plot bond price change calculated in Q(3) and Q(4) on y-axis and yield to maturity on x-axis.
- Are the bond price changes calculated in Q(3) and Q(4) the same or different. Explain your answer clearly.
Yield to maturity | Duration | Bond Price | Price change using Bond Price in column 3 | Price change using duration in column 2 |
14% | ||||
13% | ||||
12% | ||||
11% | ||||
10% | ||||
9% | ||||
8% | ||||
7% | ||||
6% | ||||
5% | ||||
4% | ||||
3% | ||||
2% | ||||
1% |
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