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Mathematics of Finance - 1000 Foot View
Time Value of Money
Future Value of a Lumpsum

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Annuities - Recurring Payments

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Amortisation - Loan Installments

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Present Value of escalating annuity

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Future value of escalating annuity

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Effective rate of return

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Internal rate of return

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Net present value

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Yield to maturity

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Current Yield

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Yield to Call

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Measuring return

Annualising Return
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Aggregation of returns
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Compounding
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Continuous compounding
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Arithmetic Mean versus Geometric Mean
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Descriptive Statistics
Central tendency statistics

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Gains versus losses

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Range and Location

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Mean

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Variance

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Volatility

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Skewness

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Kurtosis

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Mathematics of Risk Management
Downside risk measures

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Value at Risk

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Monte Carlo Simulation

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Stress testing and scenario analysis

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Style, Clusters and Classifications
Asset Pricing Models
Single Factor Models

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Multi-Factor Models

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Regression Analysis
Simple Regression Analysis

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Multiple Linear regression

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Covariance and correlation
Scatter Plot
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Mu-Sigma
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Snail Trail

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Risk-adjusted performance measures
Sharp Ratio

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Treynor Ratio

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Jensen Alpha

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M Performance Measure

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Sortino Ratio

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Information Ratio

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