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To find the area under a curve, one can use integral calculus. If the curve has no close form, such as the normal curve, then the area can not be derived analytically. However, with today's computer technology, one can use Monte Carlo Integration to achieve such task. The area under a distribution is also known as probability. In this example, we want to compute the area under standard normal probability distribution from 0 to z.
See Examples below;
Standard Deviation and Mean
>
Lotto Number Generator
>
Playing Card
Probability
>
Normal Distribution Random Number Generator
>
Monte Carlo Integration
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Black-Scholes Option Pricing Model - European Call and Put
>
Binomial Option
Pricing Model
>
Portfolio Optimization
>
Multiple Regression
>
Bootstrap - A
Non-Parametric Approach
>
Multivariate Standard Normal Probability Distribution
>
Monte Carlo Simulation
>
Option Greeks Based on Black-Scholes Option Pricing Model.
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