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The probable rate of return of both the securities security P and Q are as given below. Based on the given information, help Ben to decide which security is expected to give him higher returns.

In this case, the expected value is the expected return of each security. Let us take another example where John is to assess the feasibility of two upcoming development projects Project X and Y and choose the most favorable one.

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Determine for John which project is expected to have a higher value on completion. It is important to understand for an analyst to understand the concept of expected value as it is used by most investors to anticipate the long-run return of different financial assets.

The expected value is commonly used to indicate the anticipated value of an investment in the future. On the basis of the probabilities of possible scenarios, the analyst can figure out the expected value of the probable values.

Although the concept of expected value is often used in the case of various multivariate models and scenario analysis, it is predominantly used in the calculation of expected return.

This has been a guide to the Expected Value Formula. Here we learn how to calculate the expected value along with examples and downloadable excel template.

You can learn more about financial analysis from the following articles —. Now turn to the casino. In the same way as before we can calculate the expected value of games of chance such as roulette.

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In the U. Half of the are red, half are black. Both 0 and 00 are green. A ball randomly lands in one of the slots, and bets are placed on where the ball will land.

One of the simplest bets is to wager on red. If the ball lands on a black or green space in the wheel, then you win nothing. What is the expected value on a bet such as this?

Here the house has a slight edge as with all casino games. As another example, consider a lottery. This gives us an expected value of:.

So if you were to play the lottery over and over, in the long run, you lose about 92 cents — almost all of your ticket price — each time you play.

All of the above examples look at a discrete random variable. However, it is possible to define the expected value for a continuous random variable as well.

All that we must do in this case is to replace the summation in our formula with an integral. It is important to remember that the expected value is the average after many trials of a random process.

In the short term, the average of a random variable can vary significantly from the expected value. Share Flipboard Email.

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However, it is possible to define the expected value for a continuous random Www Ask Com Login as well. If exists and is finite, we say that is an integrable random variableor just that is integrable. They only informed Stratergy Games Online small circle of mutual scientific friends in Paris about it. Let be a real function. This article needs additional citations for verification.