fall16q05

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University of Pennsylvania *

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238

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Economics

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Nov 24, 2024

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6

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FIFTH QUIZ FNCE 238/738 November 9, 2016 WRITE ALL ANSWERS ON THE TEST. IF YOUR ANSWER CONTINUES ON THE BACK, MAKE A NOTE OF IT ON THE FRONT. 45 PTS / 25 MINUTES NAME:_____________________________________________ SECTION (12, 1:30 or 3):__________________________________
1. Here’s the summary of a recent Fannie Mae deal: a. (5 pts) Which classes would be considered “toxic waste”, i.e. securities that are byproducts of making other securities safer? Why? b. (5 pts) Looking just at classes DF and DS, how would their market values be affected by a sudden large increase in prepayment? Why?
2. (10 pts) Consider a 2016 auto-loan securitization such as the Carmax deal we went through. Suppose the economy goes into a recession in 2018, leading to many auto-loan defaults. In what sense will the free cash flow from earlier months help the notes issued avoid default? Will any of this cash flow not help the notes avoid default? Explain.
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3. (5 pts) From ETF Strategy about a new offering: The fund tracks the Barclays US MBS Index which is based on a universe of individual fixed rate pools, providing some diversification across factors such as interest rate sensitivity and prepayment risk. However, investors should be aware that mortgage backed securities do contain unique characteristics compared to other bond instruments. In particular, they tend to exhibit negative convexity… Show graphically what is meant by the “negative convexity” of mortgage-backed securities. Why is it important for investors to be aware of it?
4. A stock, currently trading at 6, will go to 8 or 5 in the next six months, and if it goes to 8, then it will go to 11 or 7 in the 6 months after that, and if it goes to 5, it will go to 7 or 3 in the next six months after that. All price changes have probability ½. So the binomial tree looks like this: The risk-free rate is constant at 0%. a. (10 pts) What is the price today of a European call option, with strike price 6, expiring in one year? b. (5 pts) What is the price of the analogous put with a strike price of 6?
5. (5 pts) What, exactly, does it mean to say that the SMM of a mortgage pool is 2%? And in terms of SMM, what have we seen regarding the ability of financially distressed households alleviating the distress by refinancing mortgages at today’s lower rates?
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