Suppose you purchase a $1,000 TIPS on January 1, 2016. The bond carries a fixed coupon of 1 percent. Over the first two years, semiannual inflation is 2 percent, 4 percent, 2 percent, and 3 percent, respectively. For each six-month period, calculate the accrued principal and coupon payment. (Do not round intermediate calculations. Round your answers to 2 decimal places.)
Jun-16 | Dec-16 | Jun-17 | Dec-17 | |
Inflation | 2% | 4% | 2% | 3% |
Principal | 1020 | 1060.800 | 1082.016 | 1114.47648 |
Coupon Payment | 5.10 | 5.30 | 5.41 | 5.57 |
Principal Increases with the semi annual Inflation rate every 6 months.
Coupon payment shall be 50% of coupon rate(because being paid semi anually) * New inflation adjusted principal amount(Bond Value).
Attaching here formula along with row and column mark to understand.
C | D | E | F | G | |
42522 | 42705 | 42887 | 43070 | ||
19 | Inflation | 0.02 | 0.04 | 0.02 | 0.03 |
20 | Principal | =1000*(1+D19) | =D20*(1+E19) | =E20*(1+F19) | =F20*(1+G19) |
21 | Coupon Payment | =0.5%*D20 | =0.5%*E20 | =0.5%*F20 | =0.5%*G20 |
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