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Consider a 5-year 8.5% coupon bond (assume annual coupons) priced to yield a 10% per annum, with a par value of $100 and a price of $94.3138. A risk analyst has computed the following information:
| Macaulay Duration | 4.2518 |
|-------------------|--------|
| Modified Duration | 3.8653 |
| Convexity | 24.0839 |
| Modified Convexity| 21.8945 |
Which pair of duration and convexity should the risk analyst use in computing the duration-convexity approximation for the capital loss if the yield were to change to 10.50% per annum? And what is the estimated dollar amount of the capital loss?
A
The risk analyst should use Macaulay duration and convexity, and the dollar amount of the capital loss is $1.9766.
B
The risk analyst should use modified duration and convexity, and the dollar amount of the capital loss is $1.7944.
C
The risk analyst should use modified duration and modified convexity, and the dollar amount of the capital loss is $1.7969.
D
The risk analyst should use Macaulay duration and modified convexity, and the dollar amount of the capital loss is $1.9792.