MATH 5011
LECTURE 001
FALL 2009
Mathematical Background for Finance
INSTRUCTOR: SCOT ADAMS
(homework)
To get the homework assigned in a given class, first
point to the
class diary website
and then scroll down
to see which topics were completed in that class. Then come back to
this website
and look for the homework assignment connected to those topics.
Homework connected to topics that were started in a class, but not completed
are not assigned in that class;
only completed topics count. Homeworks are due at
the start of the class following the one in which they are assigned.
Homework for Topic 0001:
ppt slides
pdf slides
(Introduction to PCRVs)
Homework for Topic 0002:
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(One period pricing and hedging)
Homework for Topic 0003:
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(Pricing/hedging in three subperiods)
Homework for Topic 0004:
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(Pricing/hedging in many subperiods/Part 1)
Homework for Topic 0005:
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pdf slides
(Central Limit Theorem)
Homework for Topic 0006:
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(Pricing/hedging in many subperiods/Part 2)
Homework for Topic 0007:
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pdf slides
(Introduction to the Black-Scholes formula)
Homework for Topic 0008:
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(Introduction to the Triangular Central Limit Theorem)
Homework for Topic 0009:
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(First proof of Black-Scholes)
Homework for Topic 0010:
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(Sequences and Series)
Homework for Topic 0011:
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(Basics of measures)
Homework for Topic 0012:
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(Basics of integration)
Homework for Topic 0013:
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(Integration Theorems)
Homework for Topic 0014:
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(Classification of measure spaces)
Homework for Topic 0015:
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(Measures on the reals)
Homework for Topic 0016:
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(Signed measures)
Homework for Topic 0017:
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(Basics of random variables)
Homework for Topic 0018:
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(Conditional probability and expectation)
Homework for Topic 0019:
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(The tower law and taking out what you know)
Homework for Topic 0020:
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(Computation of PDFs)
Homework for Topic 0021:
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(Estimating mean)
Homework for Topic 0022:
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(Estimating variance)
Homework for Topic 0023:
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(Some distributions)
Homework for Topic 0024:
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(Basics of processes)
Homework for Topic 0025:
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(Basics of stochastic differential equations)
Homework for Topic 0026:
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(Ito's lemma)
Homework for Topic 0027:
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(Girsanov's theorem and the martingale representation theorem)
Homework for Topic 0028:
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(Black-Scholes in continuous time)
Homework for Topic 0029:
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(Stochastic processes and partial differential equations)
Homework for Topic 0030:
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(Black-Scholes redux)
Homework for Topic 0031:
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(Modern portfolio theory)