2). In April 2020 you purchase 100 euros of bonds in Greece which pay a 5% coupon every year. If the bond matures in 2025 (five years) and the YTM is 3.0%, what is the value of the bond?
Period | Discounting
Factor [1/(1.03^period)] |
Discounting
Factor Annuity (Sum of discounting factor & all previous discounting factors) |
1 | 0.970873786 | 0.970873786 |
2 | 0.942595909 | 1.913469696 |
3 | 0.915141659 | 2.828611355 |
4 | 0.888487048 | 3.717098403 |
5 | 0.862608784 | 4.579707187 |
Value of Bond = PV of Maturity Amount + PV of All Coupons = [Maturity Value*Discounting Factor] + [Coupon*Annuity Factor] = [100*0.8626] + [100*5%*4.5797] = 86.26 + 22.8985 = $109.1585
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