Financial Mathematics
Explore time and risk models; arbitrage and discrete pricing; continuous models and limits. Concepts and connections are available independently of video coverage.
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Expected return and covariance describe a constrained portfolio optimization model.
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Expectation is a probability-weighted average when defined; not every random variable has a finite expectation.
Covariances link individual asset variability to the variability of weighted portfolios.
Discounting compares amounts at different dates under a specified rate model.
Up-and-down price moves support backward valuation under no-arbitrage assumptions.
Option pricing follows a diffusion market with restrictive volatility, trading and friction assumptions.
Explore time and risk models; arbitrage and discrete pricing; continuous models and limits. Concepts and connections are available independently of video coverage.