Bond price: QBE Insurance Group Ltd has outstanding bonds with a face value of $1000 that will mature in 6 years and pay an 8 percent coupon, interest being paid semiannually. If you paid $1036.65 today and your required rate of return was 6.6 percent, did you pay the right price for the bond?
Period | Cash Flow | Discounting
Factor [1/(1.033^year)] |
PV of Cash
Flows (cash flows*discounting factor) |
1 | 40 | 0.968054211 | 38.72216844 |
2 | 40 | 0.937128956 | 37.48515822 |
3 | 40 | 0.907191632 | 36.28766527 |
4 | 40 | 0.878210679 | 35.12842717 |
5 | 40 | 0.850155546 | 34.00622185 |
6 | 40 | 0.822996657 | 32.91986626 |
7 | 40 | 0.796705379 | 31.86821516 |
8 | 40 | 0.771253997 | 30.85015989 |
9 | 40 | 0.74661568 | 29.86462719 |
10 | 40 | 0.722764453 | 28.91057811 |
11 | 40 | 0.699675172 | 27.98700688 |
12 | 40 | 0.677323497 | 27.09293987 |
12 | 1000 | 0.677323497 | 677.3234967 |
Price
of the Bond = Sum of PVs |
1068.446531 |
Theoretical Price > Actual Price Paid.
Therefore, We paid LESS than the Theoretical Price.
Therefore, YES, We paid the Right Price.
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