In: Finance
5 year ago, the bond issuer issued a 30-year 7% semiannual bond when the market interest rate was 6%. 5 years later, the interest rate changes to 8%, so what is the rate of return for this bond for the last 5 years?
6%
Step-1:Calculation of current price | ||
Current Price | =-pv(rate,nper,pmt,fv) | |
= $ 1,138.38 | ||
Where, | ||
rate | = | 3% |
nper | = | 60 |
pmt | = | $ 35.00 |
fv | = | $ 1,000.00 |
Step-2:Calculation of price after 5 years | ||
Price after 5 years | =-pv(rate,nper,pmt,fv) | |
= $ 1,128.65 | ||
Where, | ||
rate | = | 3% |
nper | = | 50 |
pmt | = | $ 35.00 |
fv | = | $ 1,000.00 |
Step-3:Calculation of rate of return over 5 years | ||
Rate of return | =rate(nper,pmt,pv,fv)*2 | |
= 6.00% | ||
Where, | ||
nper | = | 10 |
pmt | = | $ 35.00 |
pv | = | $ -1,138.38 |
fv | = | $ 1,128.65 |