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School
University of Pennsylvania *
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Course
238
Subject
Finance
Date
Nov 24, 2024
Type
Pages
2
Uploaded by blochjacob
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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