Derive the probability distribution of the 1-year HPR on a
30-year U.S. Treasury bond with a coupon of 3.5% if it is currently
selling at par and the probability distribution of its yield to
maturity a year from now is as shown in the table below. (Assume
the entire 3.5% coupon is paid at the end of the year rather than
every 6 months. Assume a par value of $100.) (Leave no
cells blank - be certain to enter "0" wherever required. Negative
values should be indicated by a minus sign. Do not round
intermediate calculations. Round your answers to 2 decimal
places.)
Economy | probability | YTM | Price | Capital Gain | Coupon Interest | HPR |
Boom | .25 | 7.0% | ||||
Normal Growth | .40 | 5.0% | ||||
Recession | .35 | 4.0% |
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