Question

In: Finance

1. a bond has a face (maturity) value of $1000, 5 years til maturity, an annual...

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?

Solutions

Expert Solution

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

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