fall14q4ans

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University of Pennsylvania *

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238

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Finance

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Nov 24, 2024

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Question 1: Yes, investors should care about pre-payment risk because the distinctive risk of MBS is pre-payment risk. In the event of pre-payment, the investor’s get back all of the principal at once and step getting interest. Hence, they prefer slower repayment. Pre-payments, regardless of their source, impacts investors in the same way owing to the nature of the SMM formula, which takes into account speed of prepayment , not source. It is acceptable for the student to note that the source of pre-payment risk matters to the extent that it affects speed. For example, a macro trend causing faster prepayment speeds will impact investors more than one for which slower speeds are the norm. The main thing I want students to focus on is that some sources of prepayment risk are worse than others. The sources that are bad are those correlated with interest rates going down. This is the risk that is like the risk of buying a callable bond, i.e. it takes away a lot of your upside. The risk arising from people moving or defaulting is not necessarily this bad kind of risk (bear in mind that we’re talking about MBS where the credit risk is borne by the insurer). Question 2: 2a) Basic idea is as follows: It is like debt in the following ways: - Seniority over claims for dividends - More senior claim than equity upon liquidation - Cumulative characteristic - Typical control rights, like seats on the board if issuer is 6 quarters behind - Payment is based on a formula - They are bought at par, and redeemable at par It is like equity in the following ways: - No maturity (perpetual), and investors are paid through dividends - Receive no interest tax shield - Management has a fiduciary duty to preferred holders (behind that to common shareholders) - Dividend paid before that paid to common shareholders 2b) Basic idea is as follows: The issuer is a REIT, which is not taxed at the corporate level and must pass almost all revenue to shareholders. Could also discuss how REITs are not eligible for the dividends—received deduction. REITs issue preferred equity because it allows skipping
payments in bad years (without default risk) and it gets no interest tax shield from debt had they issued bonds (because they’re not taxed at the corporate level). Question 3: 3. a. If the stock goes to 8: n=(6-1)/(11-6) = 1, B=(1x11-6x6)/(11-6) = -5 So Call is worth 1*(8)-5=3 If the stock goes to 5: n=(1-0)/(6-3) = 1/3, B=(0x6-1x3)/(6-3) = -1 So Call is worth 1/3*(5)-1=2/3 So today, C up =3, C d =2/3, S up =8, S d =5, so o n=(3-2/3)/(8-5) = 7/9=0.778, B = (2/3*8-3*5)/(8-5) = -29/9=-3.222 So Call is worth (0.778)6-3.222 = 1.444=13/9 b. n=7/9=0.778 initially, and if the stock goes to 8 then n=1, so you buy 1-0.778 = 0.222=2/9 shares at that point
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