Present Value of an Annuity of 1 Periods8%9% 10.926 0.917 0.909 21.783 1.759 1.736 32.577 2.531 2.487 A company has a minimum re
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Answer:
YTM 5.2% present value: $1,023.1644
YTM 1% present value: $1,427.2169
YTM 8% present value: $830.1209
YTM 8% present value: $515.7617
Explanation:
YTM we will calculate the present value of the coupon payment
andthe maturity at each YTM rate given:
The coupon payment present value will be the present value of an ordinary annuity
Coupon payment 28 (1,000 x 2.75%)
time 20 (10 years x 2 payment per year)
rate 0.026 (YTM over 2 as the payment are semiannually)
PV $424.6800
The present value of the maturity will be the present value of a lump sum:
Maturity 1,000.00
time 20.00
rate 0.026
PV 598.48
PV c $424.6800
PV m $598.4843
Total $1,023.1644
Now, we will calculate changin the YTM the concept and formulas are the same, just the rate is diffrent:
<u>If YTM = 1% </u>
PV c $522.1540
PV m $905.0629
Total $1,427.2169
<u>If YTM = 8%</u>
PV c $373.7340
PV m $456.3869
Total $830.1209
<u>If YTM = 15%</u>
PV c $280.3485
PV m $235.4131
Total $515.7617