Question
You are considering a portfolio of bonds issued by Mason Mortgage Corp (MMC). The MMC bonds are expected to pay $1 million in year one,
You are considering a portfolio of bonds issued by Mason Mortgage Corp (MMC). The MMC bonds are expected to pay $1 million in year one, $1 million in year two, $1 million in year three, and $4 million in year four. You estimate the interest rate for the bonds to be around 10%. If you use duration to hedge against the interest rate risk by investing in a 1-yr ZCB and a 3-yr ZCB, both of which have a current market interest rate of 3%, what is your weight in the 1-yr ZCB?
A. | -1.00% | |
B. | 101.01% | |
C. | 99.09% | |
D. | -10.10% |
You are managing to sell a coupon bond issued by Simpli Data Mining Corp (SDMC). The SDMC bond has a par value of $1 million and a coupon rate of 7%. The coupons are paid semi-annually, and the bond matures in 3 years. The prevailing market interest rate for the bonds with similar risk as SDMC is 9%. If you use duration to hedge against the interest rate risk by investing in cash and a 2-yr ZCB, what is your position in the ZCB?
A. | Buy $1.30 MM | |
B. | Borrow $1.30 MM | |
C. | Buy $0.36 MM | |
D. | Borrow $0.36 MM |
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