FM 412. Advanced Financial Mathematics

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Review of utility functions. Investor’s expected utility of investment. Measures of risk of investment: variance, semi-variance, shortfall probability and mean shortfall. The mean and variance of return on a portfolio of assets. Single factor and multi-factor models. Capital asset pricing model and arbitrage pricing model. Efficient market hypotheses.

Main textbooks:

J. McCutcheon, W. Scott, An Introduction to the Mathematics of Finance, Heinemann, 1986.

W. Paul, Jörg Baschna, Stochastic Processes: From Physics to Finance, Springer.

 

Auxiliary textbook:

 

N. Bowers, H. Gerber, J. Hickman, D. Jones, C. Nesbitt, Actuarial Mathematics, 2nd ed. Society of Actuaries, 1997.

Credit : 3

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