Question

In: Finance

Consider a 5% callable bond with 20 years maturity and 8% yield which pays the face...

Consider a 5% callable bond with 20 years maturity and 8% yield which pays the face value plus 10% if it is redeemed before maturity. If after 10 years the bond is redeemed, find an upper bound for the yield at that time. Assume that coupon payments are made once per year.

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Expert Solution

Solution

Assume face Value= $1,000
Coupon payment per year $50 (1000*0.05)
Number of years 20
Yield 8%
Bond Price =Present Value of Future cash flows
Bond Price $705.46 (Using PV function of excel with Rate=8%, Nper=20, Pmt=-50, FV=-1000)
Bond Price $705.46
Coupon payment per year $50
Number of years 10
Amount received at the time of redemotion $1,100 (1000*1.1)
Yield 10.51% (Using RATE function with Nper=10,Pmt=50, PV=-705.46, FV=1100)


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