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Monte Carlo Simulation Analysis And Decision

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I. Introduction Have you ever wondered what the next Stock Prices were going to be? Did you ever know that you could calculate these future prices? Have you heard of the Monte Carlo Simulation? The Monte Carlo Simulation is a computerized mathematical technique that allows people to account for risk in quantitative analysis and decision. It furnishes the decision-maker with a range of possible outcomes and probabilities that they will occur for any chance of action. It shows the extreme possibilities of different situations as well. The system calculates results over and over, each time using a different set of random values from the probability functions. The simulation could involve tens and thousands of recalculations before its …show more content…

His work expanded on the Black Scholes Finance formula which leads to the Brownian Motion theory made. Example Graphs of Brownian Motion Brownian Motion expresses that there are two parts around a movement. The first is an overall cost of driving force (Drift). The second is a random component. This component is defined as a random number to vary the results. Hence, the rate that the asset changes in value each day, the r value that the e is raised to can be broken down into two parts; an overall drift and a random stochastic component. Amount change in the stock price=the expected growth over time + the effect of the constant volatility of people randomly buying and selling the stock over time has on that expected growth. Amount change in the stock price= fixed drift rate + random stochastic variable To create a Monte Carlo Simulator to model the possible future outcomes, it’s necessary to find the two parts around a movement. periodic return (continuous compounding) ln (St /St-1)=α+ztσ ←random shock ^constant drift For the drift, the expected rate of return is used. In other words, we use the rate that we expect the price to change each day. Drift: Expected Periodic Daily Rate of Return. The expected rate is a way to change with the greatest odds of occurring. There are different theories of what this rate

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