In: Finance
1. a bond has a face (maturity) value of $1000, 5 years til maturity, an annual coupon rate of 7% and ayield to maturity of 5%. how much willl the bond price change in 1 year if the yield remains constant?
2. What is the current yield on the bond at 1year and year 2?
1) | Change in price | $ -15.67 | ||||||
Working: | ||||||||
Current price | =-pv(rate,nper,pmt,fv) | Where, | ||||||
$ 1,086.59 | rate | = | 5% | |||||
nper | = | 5 | ||||||
pmt | = | $ 70.00 | ||||||
fv | = | $ 1,000.00 | ||||||
Price in 1 year | =-pv(rate,nper,pmt,fv) | Where, | ||||||
$ 1,070.92 | rate | = | 5% | |||||
nper | = | 4 | ||||||
pmt | = | $ 70.00 | ||||||
fv | = | $ 1,000.00 | ||||||
Change in price | = | $ 1,070.92 | - | $ 1,086.59 | ||||
= | $ -15.67 | |||||||
2) | Current yield at: | |||||||
1 Year | 6.54% | |||||||
2 Year | 6.64% | |||||||
Working: | ||||||||
Current yield at 1 year | = | Annual coupon | / | Price in 1 year | ||||
= | $ 70.00 | / | $ 1,070.92 | |||||
= | 6.54% | |||||||
Current yield at 2 year | = | Annual coupon | / | Price in 2 year | ||||
= | $ 70.00 | / | $ 1,054.46 | |||||
= | 6.64% | |||||||
Price in 2 year | =-pv(rate,nper,pmt,fv) | Where, | ||||||
$ 1,054.46 | rate | = | 5% | |||||
nper | = | 3 | ||||||
pmt | = | $ 70.00 | ||||||
fv | = | $ 1,000.00 |