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kherson [118]
3 years ago
9

Exodus Limousine Company has $1,000 par value bonds outstanding at 15 percent interest. The bonds will mature in 30 years. Compu

te the current price of the bonds if the percent yield to maturity is:
a. 4 percent

b. 8 percent

Calculate the final answer up to two decimal places. Use Appendix B and Appendix D for an approximate answer but calculate your final answer using the formula and financial calculator methods. Assume interest is paid annually.
Business
1 answer:
nasty-shy [4]3 years ago
7 0

Answer:

if YTM at 4% price :  $2,902.1237

if YTM at 8% price :  $1,788.0448

The bonds are above face value asthey offer a higher coupon payment than the market yield therefore the bond holders are willing to pay above theri face value

Explanation:

the market price of the bond will be the present value of coupo payment and maturity:

C \times \frac{1-(1+r)^{-time} }{rate} = PV\\

C 150.000

time 30

rate 0.04

150 \times \frac{1-(1+0.04)^{-30} }{0.04} = PV\\

PV $2,593.8050

\frac{Maturity}{(1 + rate)^{time} } = PV  

Maturity   1,000.00

time   30.00

rate  0.04

\frac{1000}{(1 + 0.04)^{30} } = PV  

PV   308.32

PV c $2,593.8050

PV m  $308.3187

Total $2,902.1237

No we repeat the process with the yield at 8%

C \times \frac{1-(1+r)^{-time} }{rate} = PV\\

C 150.000

time 30

rate 0.08

150 \times \frac{1-(1+0.08)^{-30} }{0.08} = PV\\

PV $1,688.6675

\frac{Maturity}{(1 + rate)^{time} } = PV  

Maturity   1,000.00

time   30.00

rate  0.08

\frac{1000}{(1 + 0.08)^{30} } = PV  

PV   99.38

PV c $1,688.6675

PV m  $99.3773

Total $1,788.0448

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