# Computing Expected Value

## Computing Expected Value Inhaltsverzeichnis

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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.

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 —. Determine the probability of each possible outcome. Probability is the chance that each particular value or outcome may occur.

In some situations, like the stock market, for example, probabilities may be affected by some external forces.

You would need to be provided with some additional information before you could calculate the probabilities in these examples. In a problem of random chance, such as rolling dice or flipping coins, probability is defined as the percentage of a given outcome divided by the total number of possible outcomes.

However, recognize that there are four different suits, and there are, for example, multiple ways to draw a value of Since your list of outcomes should represent all the possibilities, the sum of probabilities should equal 1.

Multiply each value times its respective probability. Each possible outcome represents a portion of the total expected value for the problem or experiment that you are calculating.

To find the partial value due to each outcome, multiply the value of the outcome times its probability. Multiply the value of each card times its respective probability.

Find the sum of the products. The expected value EV of a set of outcomes is the sum of the individual products of the value times its probability.

Using whatever chart or table you have created to this point, add up the products, and the result will be the expected value for the problem. Interpret the result.

The EV applies best when you will be performing the described test or experiment over many, many times. For example, EV applies well to gambling situations to describe expected results for thousands of gamblers per day, repeated day after day after day.

However, the EV does not very accurately predict one particular outcome on one specific test. Over many many draws, the theoretical value to expect is 6.

But if you were gambling, you would expect to draw a card higher than 6 more often than not. Method 2 of Define all possible outcomes. Calculating EV is a very useful tool in investments and stock market predictions.

As with any EV problem, you must begin by defining all possible outcomes. Generally, real world situations are not as easily definable as something like rolling dice or drawing cards.

For that reason, analysts will create models that approximate stock market situations and use those models for their predictions. These results are: 1.

Earn an amount equal to your investment 2. Earn back half your investment 3. Neither gain nor lose 4. Lose your entire investment.

Assign values to each possible outcome. In some cases, you may be able to assign a specific dollar value to the possible outcomes.

Other times, in the case of a model, you may need to assign a value or score that represents monetary amounts.

The assigned value of each outcome will be positive if you expect to earn money and negative if you expect to lose. Determine the probability of each outcome.

In a situation like the stock market, professional analysts spend their entire careers trying to determine the likelihood that any given stock will go up or down on any given day.

The probability of the outcomes usually depends on many external factors. Statisticians will work together with market analysts to assign reasonable probabilities to prediction models.

Multiply each outcome value by its respective probability. Use your list of all possible outcomes, and multiply each value times the probability of that value occurring.

Add together all the products. Find the EV for the given situation by adding together the products of value times probability, for all possible outcomes.

Interpret the results. You need to read the statistical calculation of the EV and make sense of it in real world terms, according to the problem.

Earning Method 3 of Familiarize yourself with the problem. Before thinking about all the possible outcomes and probabilities involved, make sure to understand the problem.

A 6-sided die is rolled once, and your cash winnings depend on the number rolled. Rolling any other number results in no payout.

This is a relatively simple gambling game. Because you are rolling one die, there are only six possible outcomes on any one roll.

They are 1, 2, 3, 4, 5 and 6. Assign a value to each outcome. This gambling game has asymmetric values assigned to the various rolls, according to the rules of the game.

For each possible roll of the die, assign the value to be the amount of money that you will either earn or lose.

In this game, you are presumably rolling a fair, six-sided die. Use the table of values you calculated for all six die rolls, and multiply each value times the probability of 0.

Calculate the sum of the products. Add together the six probability-value calculations to find the EV for the overall game. The EV for this gambling game is However, that luck is not going to continue if you keep playing.

You play a gambling game with a friend in which you roll a die. What is your expected value for this game? Not Helpful 3 Helpful Two dice are thrown simultaneously.

What is the probability of getting a sum less than 3? Each die would have to show "1" in order to get a sum less than 3.

That means that only one outcome would be a desired outcome. There are 36 possible outcomes 6 x 6.

So the probability of a successful outcome is 1 in Not Helpful 3 Helpful 2.

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 —.

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Free Excel Course. Forgot Password? Formula to Calculate Expected Value Expected value formula is used in order to calculate the average long-run value of the random variables available and according to the formula the probability of all the random values is multiplied by the respective probable random value and all the resultants are added together to derive the expected value.

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Method 1 of Identify all possible outcomes. Calculating the expected value EV of a variety of possibilities is a statistical tool for determining the most likely result over time.

To begin, you must be able to identify what specific outcomes are possible. You should either list these or create a table to help define the results.

You need to list all possible outcomes, which are: Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K, in each of four different suits.

Assign a value to each possible outcome. Some expected value calculations will be based on money, as in stock investments. Others may be self-evident numerical values, which would be the case for many dice games.

In some cases, you may need to assign a value to some or all possible outcomes. Assign those values for this example.

Determine the probability of each possible outcome. Probability is the chance that each particular value or outcome may occur. In some situations, like the stock market, for example, probabilities may be affected by some external forces.

You would need to be provided with some additional information before you could calculate the probabilities in these examples. In a problem of random chance, such as rolling dice or flipping coins, probability is defined as the percentage of a given outcome divided by the total number of possible outcomes.

However, recognize that there are four different suits, and there are, for example, multiple ways to draw a value of Since your list of outcomes should represent all the possibilities, the sum of probabilities should equal 1.

Multiply each value times its respective probability. Each possible outcome represents a portion of the total expected value for the problem or experiment that you are calculating.

To find the partial value due to each outcome, multiply the value of the outcome times its probability. Multiply the value of each card times its respective probability.

Find the sum of the products. The expected value EV of a set of outcomes is the sum of the individual products of the value times its probability.

Using whatever chart or table you have created to this point, add up the products, and the result will be the expected value for the problem.

Interpret the result. The EV applies best when you will be performing the described test or experiment over many, many times. For example, EV applies well to gambling situations to describe expected results for thousands of gamblers per day, repeated day after day after day.

However, the EV does not very accurately predict one particular outcome on one specific test. Over many many draws, the theoretical value to expect is 6.

But if you were gambling, you would expect to draw a card higher than 6 more often than not. Method 2 of Define all possible outcomes. Calculating EV is a very useful tool in investments and stock market predictions.

As with any EV problem, you must begin by defining all possible outcomes. Generally, real world situations are not as easily definable as something like rolling dice or drawing cards.

For that reason, analysts will create models that approximate stock market situations and use those models for their predictions. These results are: 1.

Earn an amount equal to your investment 2. Earn back half your investment 3. Neither gain nor lose 4. Lose your entire investment.

Assign values to each possible outcome. In some cases, you may be able to assign a specific dollar value to the possible outcomes.

Other times, in the case of a model, you may need to assign a value or score that represents monetary amounts. The assigned value of each outcome will be positive if you expect to earn money and negative if you expect to lose.

Determine the probability of each outcome. In a situation like the stock market, professional analysts spend their entire careers trying to determine the likelihood that any given stock will go up or down on any given day.

The probability of the outcomes usually depends on many external factors. Statisticians will work together with market analysts to assign reasonable probabilities to prediction models.

Multiply each outcome value by its respective probability. Use your list of all possible outcomes, and multiply each value times the probability of that value occurring.

Add together all the products. Find the EV for the given situation by adding together the products of value times probability, for all possible outcomes.

Interpret the results. You need to read the statistical calculation of the EV and make sense of it in real world terms, according to the problem.

Earning Method 3 of Familiarize yourself with the problem. Before thinking about all the possible outcomes and probabilities involved, make sure to understand the problem.

A 6-sided die is rolled once, and your cash winnings depend on the number rolled. Rolling any other number results in no payout. This is a relatively simple gambling game.

Because you are rolling one die, there are only six possible outcomes on any one roll. They are 1, 2, 3, 4, 5 and 6.

Assign a value to each outcome.

An Error Occurred Unable to complete the action because of changes made Unibet Com Live the page. Erweiterte Suche. We consider a representation of the function by a linear combination using orthogonal basis polynomials. Zurück zum Suchergebnis. Thereby, predetermined values of one-dimensional integrals can be applied, which are computed for the basis polynomials a priori. Select the China site in Chinese or English for best site performance. Zurück zum Zitat Liu, B. Nayeem, S. Learn why people trust wikiHow. But if you were gambling, you would expect Personalausweis Erstellen Programm draw a card higher than 6 more often Roulette Regeln Verbote not. About This Article. Categories: Probability and Statistics. Advantages of Expected Value. This means that if you ran a probability experiment over and over, keeping track of the results, the expected value is the average of all the values obtained. More References 3. Over many many draws, the theoretical value to expect is Nostale Download. Generally, real world situations are not as easily definable as Goldengate like rolling dice or drawing cards. This value is also known as expectation, the average, the mean or the first moment. ## Computing Expected Value Video

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