1) A borrower is faced with choosing between two fully amortizing level-payment
ID: 2818717 • Letter: 1
Question
1) A borrower is faced with choosing between two fully amortizing level-payment loans. Loan A is available for $75,000 at 10% MEY for 30 years, with 6 points included in the closing costs. Loan B would be made for the same amount, but at 11% MEY for 30 years, with 2 points included in the closing costs. Neither loan defaults/is curtailed.
If the loan is to be repaid after 15 years, which is the better choice?
If the loan is repaid after 5 years, which is the better choice?
2)
Describe the model of firm equity as a call option on assets of the firm. What does it mean for this option to be “out-the-money?”
Why were many thrifts insolvent by the early 1980’s?
Using the equity model in A, and the concept of forbearance, describe and explain the behavior of thrifts, both insolvent and solvent, in the early 1980’s.
How does securitization help mitigate the problem described in B?
Describe how securitization eventually played a role in the creation of the “RE bubble” of the early- to mid-2000’s.
3)
You have had a 30yr FA FRM at 9% for 6 years. The original principal was 1,000,000. You are considering a cash-out refi into a 15-year mortgage at 7.5%. The old mortgage has a prepay penalty of 3% if payoff occurs before year 8. The new mortgage has fees of 4%, and no prepay penalty. The additional cash is for a $60,000 car, and can be borrowed at 9% over 10 years, with upfront fees of 1%.
Assume that all fees will be financed, and that under either scenario you will be moving 10 years from now. Ignore taxes, the option to wait to refinance, and assume no loan is prepaid, curtailed, nor ever defaults.
What is the NPV of refinancing? Show work.
Explanation / Answer
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Solution :- Amount of Loan 1875000 Closing cost for Loan A = 1875000*6% 112500 Closing cost for Loan B = 1875000*2% 37500 Part A If the loan is repaid ater 15 years Loan A The value of loan after 15 year = 1875000(1+0.10)15 = 7832340.32 Closing Cost 1875000*6% = 112500 Total Payment 7944840.32 Loan B The value of loan after 15 year = 1875000(1+0.11)15 = 8971105.29 Closing Cost 1875000*2% = 37500 Total Payment 9008605.29 Therefore loan A is beneficial in this case Part A If the loan is repaid after 5 years Loan A The value of loan after 5 year = 1875000(1+0.10)5 = 3019706.25 Closing Cost 1875000*6% = 112500 Total Payment 3132206.25 Loan B The value of loan after 5 year = 1875000(1+0.11)5 = 315948.04 Closing Cost 1875000*2% = 37500 Total Payment 353448.04 Therefore loan A is beneficial in this case hope this answer will help you if you have ay query then ask in comments as it is 100% correct And rate itRelated Questions
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