In: Finance
Solo Corp. has a bond with value interest payment of $270 maturing in 12 years at a value of $1,000 per bond. The current market price is $910. what will the nominal yield be?
YTM :
YTM is the rate at which PV of Cash inflows are equal to Bond price
when the bond is held till maturity.
YTM = Rate at which least +ve NPV + [ NPV at that Rate / Change in NPV due to 1% inc in disc rate ] * 1%
Year | CF | PVF @29% | Disc CF | PVF @30% | Disc CF |
0 | $ -910.00 | 1.0000 | $ -910.00 | 1.0000 | $ -910.00 |
1 | $ 270.00 | 0.7752 | $ 209.30 | 0.7692 | $ 207.69 |
2 | $ 270.00 | 0.6009 | $ 162.25 | 0.5917 | $ 159.76 |
3 | $ 270.00 | 0.4658 | $ 125.78 | 0.4552 | $ 122.89 |
4 | $ 270.00 | 0.3611 | $ 97.50 | 0.3501 | $ 94.53 |
5 | $ 270.00 | 0.2799 | $ 75.58 | 0.2693 | $ 72.72 |
6 | $ 270.00 | 0.2170 | $ 58.59 | 0.2072 | $ 55.94 |
7 | $ 270.00 | 0.1682 | $ 45.42 | 0.1594 | $ 43.03 |
8 | $ 270.00 | 0.1304 | $ 35.21 | 0.1226 | $ 33.10 |
9 | $ 270.00 | 0.1011 | $ 27.29 | 0.0943 | $ 25.46 |
10 | $ 270.00 | 0.0784 | $ 21.16 | 0.0725 | $ 19.59 |
11 | $ 270.00 | 0.0607 | $ 16.40 | 0.0558 | $ 15.07 |
12 | $ 270.00 | 0.0471 | $ 12.71 | 0.0429 | $ 11.59 |
12 | $ 1,000.00 | 0.0471 | $ 47.09 | 0.0429 | $ 42.92 |
NPV | $ 24.28 | $ -5.71 |
YTM = Rate at which least +ve NPV + [ NPV at that Rate / Change in NPV due to 1% inc in disc rate ] * 1%
= 29% + [ 24.28 / 29.99 ]
= 29% + [ 0.81 * 1% ]
= 29.81%
Nominal yield is 29.81%
Pls do rate, if the answer is correct and comment, if any further assistance is required.