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10. You are considering purchasing corporate bonds with a face
value of $100,000. The bonds mature in thirty years and carry an
eight percent coupon rate, with semiannual payments. How much would
you pay for these bonds today if
a. you required an APR of ten percent compounded semiannually?
b. you required an APR of six percent compounded semiannually?
c. you required an APR of eight percent compounded semiannually?
Req a: | |||||
Par value of bonds | 1000 | ||||
Semi annual interest | 40 | ||||
PVF at 60th period at 5% | 0.053536 | ||||
Annuity for60th period at 5% | 18.92929 | ||||
Present value of bonds maturity | 53.536 | ||||
present value of interest | 757.1716 | ||||
Price | 810.7076 | ||||
Req b: | |||||
Par value of bonds | 1000 | ||||
Semi annual interest | 40 | ||||
PVF at 60th period at 3% | 0.169733 | ||||
Annuity for60th period at 3% | 27.67556 | ||||
Present value of bonds maturity | 169.733 | ||||
present value of interest | 1107.022 | ||||
Price | 1276.755 | ||||
Req c: | |||||
Par value of bonds | 1000 | ||||
Semi annual interest | 40 | ||||
PVF at 60th period at 4% | 0.09506 | ||||
Annuity for60th period at 4% | 22.62349 | ||||
Present value of bonds maturity | 95.06 | ||||
present value of interest | 904.9396 | ||||
Price | 1000 | ||||
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