Question

In: Finance

1. A $1,000 par-value bond with 5 years of maturity pays a 5% coupon rate, paid...

1. A $1,000 par-value bond with 5 years of maturity pays a 5% coupon rate, paid annually. What is the value of the bond if your required rate of return is 5%?

2. A $1,000 par-value bond with 5 years of maturity pays a 5% coupon rate, paid semi-annually. What is the value of the bond if your required rate of return is 5%?

3. A $1,000 par-value bond with 5 years of maturity pays a 5% coupon rate, paid semi-annually. What is the value of the bond if your required rate of return is 7%?

4. A $1,000 par-value bond with 5 years of maturity pays a 5% coupon rate, paid semi-annually. What is the value of the bond if your required rate of return is 3%?

Solutions

Expert Solution

1) Value of bond =-pv(rate,nper,pmt,fv)
= $ 1,000.00
Where,
rate = 5%
nper = 5
pmt = 1000*5% = $       50.00
fv = $ 1,000.00
2) Value of bond =-pv(rate,nper,pmt,fv)
= $ 1,000.00
Where,
rate = 5%/2 = 2.50%
nper = 5*2 = 10
pmt = 1000*5%*6/12 = $       25.00
fv = $ 1,000.00
3) Value of bond =-pv(rate,nper,pmt,fv)
= $     916.83
Where,
rate = 7%/2 = 3.50%
nper = 5*2 = 10
pmt = 1000*5%*6/12 = $       25.00
fv = $ 1,000.00
4) Value of bond =-pv(rate,nper,pmt,fv)
= $ 1,092.22
Where,
rate = 3%/2 = 1.50%
nper = 5*2 = 10
pmt = 1000*5%*6/12 = $       25.00
fv = $ 1,000.00

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