discrete distribution calculate expected value of investment

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Discrete distribution calculate expected value of investment

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The expected return or expected gain on a financial investment is the expected value of its return of the profit on the investment.

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Student managed investment fund resume template Concentration risk Consumer credit risk Credit derivative Securitization. Key Takeaways Key Points Any investment should be made taking time considerations and risk tolerance into account. It is one of several descriptors of a probability distribution, describing how far the numbers lie from the mean expected value. In probability theory and statistics, the variance is a measure of how far a set of numbers is spread out. In finance, evaluating your expected return is important, but never as simple as evaluating a game of dice. It uses estimated probabilities with multivariate models to examine possible outcomes for a proposed investment. If you were to invest the stock in the ski mountain, year after year, and your research proves accurate, you could expect to receive an average of 9.
Forex trading strategies that work 2021 Is this a good investment idea? It has a more straightforward meaning than variance. Related Articles. Hidden categories: Articles needing additional references from May All articles needing additional references. Ok, so now what?
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What would be the average value? We can answer this question by finding the expected value or mean. For this example, the expected value was equal to a possible value of X. This may not always be the case. For example, if we flip a fair coin 9 times, how many heads should we expect? We will explain how to find this later but we should expect 4.

The expected value in this case is not a valid number of heads. Now that we can find what value we should expect, i. The formula means that we take each value of x, subtract the expected value, square that value and multiply that value by its probability. Then sum all of those values.

The formula means that first, we sum the square of each value times its probability then subtract the square of the mean. We will use this form of the formula in all of our examples. Click on the tab headings to see how to find the expected value, standard deviation, and variance. The last tab is a chance for you to try it.

For this we need a weighted average since not all the outcomes have equal chance of happening i. When we write this out it follows:. What is the expected number of prior convictions? Below is the probability distribution table for the prior conviction data. Use this table to answer the questions that follow. The winnings earned depend on the number of heads obtained. We also have the following very useful theorem about the expected value of a product of independent random variables, which is simply given by the product of the expected values for the individual random variables.

Using this fact and Theorem 5. Theorem 5. However, beware using Theorem 5. Note that Theorem 5. The other direction does not hold. Link to Video: Overview of Definitions 5. Link to Video: Walkthrough of Example 5. Expectations of Functions of Jointly Distributed Discrete Random Variables We now look at taking the expectation of jointly distributed discrete random variables.

Independent Random Variables In some cases, the probability distribution of one random variable will not be affected by the distribution of another random variable defined on the same sample space.

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