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Mathematics of Finance - 1000 Foot View
Time Value of Money
Future Value of a Lumpsum
![Future Value of a Lumpsum Investment Formula](/static/assets/images/formulas/FutureValueOfLumpSumInvestment.jpg)
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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
![Formula for calculating Internal Rate of Return IRR](/static/assets/images/formulas/InternalRateofReturn.jpg)
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Net present value
![Formula for calculating the net present value NPV](/static/assets/images/formulas/NetPresentValue.jpg)
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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
![Formula for Annualized Return](/static/assets/images/formulas/AnnualizedReturn.jpg)
Annualising Return
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![Aggregation of returns](/static/assets/images/formulas/Aggregation.jpg)
Aggregation of returns
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![Formula for Compounding Return](/static/assets/images/formulas/Compounding.jpg)
Compounding
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![Formula Continuous Compounding](/static/assets/images/formulas/ContiniousCompounding.jpg)
Continuous compounding
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![Formual for Artihmetic Average Return](/static/assets/images/formulas/ArtihmeticAverageReturn.jpg)
Arithmetic Mean versus Geometric Mean
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Descriptive Statistics
Central tendency statistics
![Central Tendency Statistics](/static/assets/images/formulas/CentralTendancyStatistics.jpg)
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Gains versus losses
![Formula for calculating gain versus loss ratio](/static/assets/images/formulas/GainvsLossRatio.jpg)
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Range and Location
![Range and Location](/static/assets/images/formulas/RangeAndLocation.jpg)
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Mean
![Formula for Calculating the Mean](/static/assets/images/formulas/Mean.jpg)
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Variance
![Formula for calculating Variance](/static/assets/images/formulas/Variance.jpg)
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Volatility
![Formula for calculating Volatility or Standard Deviation](/static/assets/images/formulas/Volatility.jpg)
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Skewness
![Formula for calculating Skewness](/static/assets/images/formulas/Skewness.jpg)
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Kurtosis
![Formula for calculating Kurtosis](/static/assets/images/formulas/Kurtosis.jpg)
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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
![Formula for calculating the Sharpe Ratio of a Portfolio](/static/assets/images/formulas/SharpeRatio.jpg)
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Treynor Ratio
![Formula for calculating Treynor Ratio](/static/assets/images/formulas/TreynorRatio.jpg)
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Jensen Alpha
![Formula for Calculating Jensen Alpha](/static/assets/images/formulas/JensenAlpha.jpg)
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M Performance Measure
![Calculating M Squared Ratio](/static/assets/images/formulas/Msquared.jpg)
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Sortino Ratio
![Formula for calculating the Sortino Ratio](/static/assets/images/formulas/SortinoRatio.jpg)
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Information Ratio
![Formula for Calculating the Information Ratio](/static/assets/images/formulas/InformationRatio.jpg)
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