In: Finance
Jason purchased 8% quarterly bonds that have a par value of
$20,000 and a maturity date
8 years from now. What is the price that Jason can sell the bonds
four years from now if
he wants to get a 12% rate compounded quarterly on his
investment?
Price of Bond = PV of Future CFs from that bond.
As the Price is required after 4 Years, CFs of Year 5 onwards is required.
Period | CF | PVF @3% | Disc CF |
1 | $ 400.00 | 0.9709 | $ 388.35 |
2 | $ 400.00 | 0.9426 | $ 377.04 |
3 | $ 400.00 | 0.9151 | $ 366.06 |
4 | $ 400.00 | 0.8885 | $ 355.39 |
5 | $ 400.00 | 0.8626 | $ 345.04 |
6 | $ 400.00 | 0.8375 | $ 334.99 |
7 | $ 400.00 | 0.8131 | $ 325.24 |
8 | $ 400.00 | 0.7894 | $ 315.76 |
9 | $ 400.00 | 0.7664 | $ 306.57 |
10 | $ 400.00 | 0.7441 | $ 297.64 |
11 | $ 400.00 | 0.7224 | $ 288.97 |
12 | $ 400.00 | 0.7014 | $ 280.55 |
13 | $ 400.00 | 0.6810 | $ 272.38 |
14 | $ 400.00 | 0.6611 | $ 264.45 |
15 | $ 400.00 | 0.6419 | $ 256.74 |
16 | $ 400.00 | 0.6232 | $ 249.27 |
16 | $ 20,000.00 | 0.6232 | $ 12,463.34 |
Price of Bond after 4 Years | $17,487.78 |