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You are trying to decide whether or not to refinance now or wait a year by calculating the value of the option to prepay given

You are trying to decide whether or not to refinance now or wait a year by calculating the value of the option to prepay given the following information:

Current Loan:

o $2,000,000

o 7% o 30 yr (amortization)

o 10 yr (balloon)

o Issued 4 yrs ago (6 yrs left)

o Prepayment penalty of 1.5 points

o OLB with prepay penalty = $1,910,871

New Loan:

o 5.5% (5.74% YTM) or 8.5% (9.19% YTM) with 50/50 probability

o 30 yr (amortization)

o 6 yrs left until balloon

o Prepayment penalty of 1.5 points

o OLB with prepay penalty = $1,910,871

o discount points and fees = $19,109

PV of current (7%) loan @ 5.74% disc rate = $1,981,649

PV of current (7%) loan @ 9.19% disc rate = $1,723,915

30% discount rate

Refinance savings for current year = $12,000

A. Calculate the NPV and Net Benefit of prepayment option for the 5.5% scenario. YOU MUST SHOW ALL CALCULATIONS TO RECEIVE FULL CREDIT!

B. Calculate the NPV and Net Benefit of prepayment option for the 8.5% scenario. YOU MUST SHOW ALL CALCULATIONS TO RECEIVE FULL CREDIT!

C. Calculate the value of the option to prepay using the probability weighted scenarios. Should you refinance or wait a year and revisit the situation? YOU MUST SHOW ALL CALCULATIONS TO RECEIVE FULL CREDIT!

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