Continuous models. Continuous time stochastic processes: Poisson process, Markov chains, Renewal process, Brownian motion, including simulation of these processes. Applications to Black-Scholes model, insurance and ruin problems and related topics.

Prerequisites: MATH 4B, PSTAT 120B, and PSTAT 160A with a grade of C or better

4

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1, 2

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Applied Stochastic Processes
Ruimeng Hu 4.5
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PSTAT 170
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Introduction to Mathematical Finance
Michael Ludkovski 3.0
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PSTAT 171
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Mathematics of Fixed Income Markets
Hal Pedersen 2.1
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Risk Theory
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Time Series
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Survival Analysis
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