In: Finance
Using the bond below, calculate your annual holding period yield (on a bond equivalent basis).
Last coupon date pre-purchase | 7/15/2016 |
First coupon date post-purchase | 1/15/2017 |
Purchase price (clean) | 90.000 |
Purchase (settlement) date | 10/1/2016 |
Sale price (clean) | 92.000 |
Sale date | 2/10/2022 |
Coupon rate | 5.00% |
Coupon | Semi-annual |
Convention | 30/360 |
Oct 1.2016 | Purchase | ||
15-Jan-17 | 1st coupon | 31+30+31+15= | 107 |
Jul-17 | 1 | 5 yrs. | |
Jan-18 | 2 | ||
Jul-18 | 3 | ||
Jan-19 | 4 | ||
Jul-19 | 5 | ||
Jan-20 | 6 | ||
Jul-20 | 7 | ||
Jan-21 | 8 | ||
Jul-21 | 9 | ||
Jan-22 | 10 | ||
Feb 10,2022 | 16+10= | 26 | |
133 |
Assuming a $ 100 Face value bond, | |||
1.Purchase price (without accrued interest) | -90 | ||
Coupon Interest receipts for | |||
Oct.1 2016 to Jan 15,2017(105 days) | 100*5%*107/360 | 1.46 | |
Jan 15, 2017--Jan 22 2022(10 semiannual coupon periods) | 100*5%/2*10= | 25.00 | |
Jan 16,2022--Feb 10, 2022(26 days) | 100*5%*26/360 | 0.36 | |
2.Total interest reciepts | 26.82 | ||
3.Sale price (without accrued interest) | 92 | ||
4.Net holding period gain(1+2+3) | 28.82 | ||
Gain % (28.82/90)------------ (4/1) | 32.02% | ||
for a total of 5 yrs. & (133/360) days (ie. 5.36944 yrs.) | |||
Holding period Yield/ Year | 5.96% | ||
Nearest Option ANSWER: 5.89% |