Question

What return do you expect earn if you buy the 3 years ,10% coupon bond today and sell it in exactly 1 year( if current price is 1051.45 rupees)

Answer 1

8.02%

Step-by-step explanation:

Since corporate bonds pay coupons semiannually, it would be important to first all determine the semiannual yield to maturity of this bond using a financial calculator as shown below:

We need to set the calculator to its end mode before making the following inputs:

N=6(number of semiannual coupons in 3 years=3*2=6)

PMT=50(semiannual coupon=face value*coupon rate/2=1000*10%/2=50)

PV=-1051.45 (current price)

FV=1000(bond's face value)

CPT

I/Y=4.02%

After one year, there would 4 semiannual coupons left, we can compute the bond price as shown thus:

N=4

PMT=50

I/Y=4.02(without % sign)

FV=1000

CPT

PV=1,035.56

The expected rate of return over one year is computed thus:

N=2(number of semiannual coupons in 1 year holding period)

PMT=50(the amount of each semiannual coupon)

PV= -1051.45

FV=1,035.56(selling price after one year)

CPT=4.01%(on a semiannual basis)

annual rate of return=4.01%*2=8.02%