We must first compute the required terminal value: PV=$93,000,000, N=6, I/Y=8.5/2=4.25%, PMT=0, compute FV=$119,382,132. Next, we calculate the current value of the bond portfolio: PMT=($93,000,000)(.05)=$$4,650,000, N=24, I/Y=11/2=5.5%, and FV=$93,000,000, compute PV=$86,884,460.
Next, compute the present value of the required terminal value at the new interest rate: FV=$119,382,132, PMT=0, N=6, I/Y=11/2=5.5%, compute PV=$86,581,394.
The dollar safety margin is positive ($86,884,460-$86,581,394 = $303,066) and the manager can continue to employ contingent immunization.
Next, we calculate the current value of the bond portfolio: PMT=($93,000,000)(.05)=$$4,650,000, N=24, I/Y=11/2=5.5%, and FV=$93,000,000, compute PV=$86,884,460.
Next, compute the present value of the required terminal value at the new interest rate: FV=$119,382,132, PMT=0, N=6, I/Y=11/2=5.5%, compute PV=$86,581,394.
The dollar safety margin is positive ($86,884,460-$86,581,394 = $303,066) and the manager can continue to employ contingent immunization.
We must first compute the required terminal value: PV=$93,000,000, N=6, I/Y=8.5/2=4.25%, PMT=0, compute FV=$119,382,132. Next, we calculate the current value of the bond portfolio: PMT=($93,000,000)(.05)=$$4,650,000, N=24, I/Y=11/2=5.5%, and FV=$93,000,000, compute PV=$86,884,460.
Next, compute the present value of the required terminal value at the new interest rate: FV=$119,382,132, PMT=0, N=6, I/Y=11/2=5.5%, compute PV=$86,581,394.
The dollar safety margin is positive ($86,884,460-$86,581,394 = $303,066) and the manager can continue to employ contingent immunization.
Next, we calculate the current value of the bond portfolio: PMT=($93,000,000)(.05)=$$4,650,000, N=24, I/Y=11/2=5.5%, and FV=$93,000,000, compute PV=$86,884,460.
Next, compute the present value of the required terminal value at the new interest rate: FV=$119,382,132, PMT=0, N=6, I/Y=11/2=5.5%, compute PV=$86,581,394.
The dollar safety margin is positive ($86,884,460-$86,581,394 = $303,066) and the manager can continue to employ contingent immunization.