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Cornell University, Fall 2010
J. Wissel
Sample Preliminary Exam Problems for ORIE 5600
Financial Engineering with Stochastic Calculus I
Note: The number of questions and amount of material on this sample sheet does not correspond
to the number of questions or amount of material in the preliminary exam. This sheet should
only serve to give you an idea of what type of questions you can expect.
Problem 1:
Exercise 2.2 (i) – (iv) in Shreve, Stochastic Calculus for Finance II
Problem 2:
Putcall parity
We consider three types of derivatives of a stock
S
. A European call option with maturity time
N
and strike
K
pays
C
N
= (
S
N

K
)
+
at time
N
. A European put option with maturity time
N
and strike
K
pays
P
N
= (
K

S
N
)
+
at time
N
. Finally, a forward contract with settlement
time
N
and delivery price
K
is an agreement to buy the stock
S
at time
N
for the price
K
; its
payoﬀ at time
N
is
F
N
=
S
N

K
(the payoﬀ is negative if
S
N
< K
).
(a) Let
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This note was uploaded on 01/25/2011 for the course ORIE 5600 at Cornell University (Engineering School).
 '09
 J.WISSEL

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