Question

A 5-year bond with a 10% coupon rate was purchased at $980 at issue and sold at $1020 by end of year 4. What is the investor's yearly rate of return? How does it compare to coupon rate and YTM?

Use a financial calculator and Excel to solve it

Answer 1

The yearly return of the investor is given to be 11.069%

How to find the YTM

In order to do this we have to make use of the Rate function in excel

This would be given as

=RATE(nper, PMT, PV, FV)

where Nper is 5 years

PMT is = $1,000*10% = $100

PV = $980

The future value Fv is given as $1,000

Hnece we would have to type in excel

RATE(5,100,-980,1000)

This would give us the value of the YTM as 10.5348%

Next would be to find the rate of return of this investor. This would be the rate that he actually earned.

We would also use the rate function

=RATE(nper, PMT, PV, FV

Npe = 4 years

PMT = $1,000*10% = $100

PV = $980

FV = $1,020 that is the amount for which the bond was sold

=RATE(4,100,-980,1020)

The solution would be = 11.0698%

Thus we can say that the return earned on investment is 11.0698%

Read more on YTM here

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