Arjen owns investment A and 1 bond B. The total value of his holdings is 1,157 dollars. Investment A is expected to pay annual cash flows to Arjen of 128.37 dollars per year with the first annual cash flow expected later today and the last annual cash flow expected in 3 years from today. Investment A has an expected return of 16.42 percent. Bond B pays semi-annual coupons, matures in 19 years, has a face value of $1000, has a coupon rate of 7.6 percent, and pays its next coupon in 6 months. What is the yield-to-maturity for bond B? Answer as a rate in decimal format so that 12.34% would be entered as .1234 and 0.98% would be entered as .0098.
First let us find the value of bond B
investment A value=present value of future cash flows
=128.37+(128.37/(1+16.42%)^1)+(128.37/(1+16.42%)^2)+(128.37/(1+16.42%)^3)
=414.70
Value of B=total value-investment A
=1157-414.70=742.30
Use rate formulae in excel to find the yield to maturity of bond
=rate(nper,pmt,pv,fv,type)
nper=19*2(since semiannual)
pmt=face value*coupon rate=1000*(7.6%/2)=38
pv=-742.30
fv=1000
=rate(38,38,-742.30,1000,0,1)
=5.41%
annual YTM=5.41%*2=10.82%
answer is 0.1082
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