## What are the expected rate of return and standard deviation of the portfolio

Standard Deviation. Standard deviation is used to measure the uncertainty of expected returns based on the probability that a common stock’s return will fall within an expected range of expected returns. The standard deviation calculates the average of average variance between actual returns and expected returns. How to calculate portfolio standard deviation: Step-by-step guide. While most brokerages will tell you the standard deviation for a mutual fund or ETF for the most recent three-year (36 months) period, you still might wish to calculate your overall portfolio standard deviation by factoring the standard deviation of your holdings. EXPECTED RETURN A stock’s returns have the following distribution; Demand for the Company’s Products Probability of This Demand Occurring Rate of Return if This Demand Occurs Weak 0.1 (30%) Below average 0.1 (14) Average 0.3 11 Above average 0.3 20 Strong 0.2 45 1.0 Calculate the stock’s expected return, standard deviation, and coefficient of variation. Assign a negative weighting to the risk-free asset, and a weighting greater than 1 to the risky portfolio. The weights must sum to 1. if you invest 120% in the risky portfolio using leverage, then 1.2 is the weighting for the risky portfolio and Keep in mind that this is the calculation for portfolio variance. If a test question asks for the standard deviation then you will need to take the square root of the variance calculation. Percentage values can be used in this formula for the variances, instead of decimals. A portfolio's expected rate of return is an average which reflects the historical risk and return of its component assets. For this reason, the expected rate of return is solely a conjecture for the sake of financial planning and is not guaranteed. All things being equal, an investor can expect that the actual rate of return will fall in the An investor invests 30% of his wealth in a risky asset with an expected rate of return of 0.13 and a variance of 0.03 and 70% in a T-bill that pays 6%. His portfolio's expected return and standard deviation are _____ and _____, respectively.

## EXPECTED RETURN A stock’s returns have the following distribution; Demand for the Company’s Products Probability of This Demand Occurring Rate of Return if This Demand Occurs Weak 0.1 (30%) Below average 0.1 (14) Average 0.3 11 Above average 0.3 20 Strong 0.2 45 1.0 Calculate the stock’s expected return, standard deviation, and coefficient of variation.

Expected returns and standard deviation are two of the most popular statistical measures used to analyse an investment portfolio. The expected return of a portfolio is referred to as the amount of returns which is anticipated for a portfolio to generate, whereas standard deviation of an investment portfolio is used to measure the amount of returns which may deviate from its mean. Conclusion. Expected Return can be defined as the probable return for a portfolio held by investors based on past returns. As it only utilizes past returns hence it is a limitation and value of expected return should not be a sole factor under consideration by investors in deciding whether to invest in a portfolio or not. Standard Deviation. Standard deviation is used to measure the uncertainty of expected returns based on the probability that a common stock’s return will fall within an expected range of expected returns. The standard deviation calculates the average of average variance between actual returns and expected returns. How to calculate portfolio standard deviation: Step-by-step guide. While most brokerages will tell you the standard deviation for a mutual fund or ETF for the most recent three-year (36 months) period, you still might wish to calculate your overall portfolio standard deviation by factoring the standard deviation of your holdings. EXPECTED RETURN A stock’s returns have the following distribution; Demand for the Company’s Products Probability of This Demand Occurring Rate of Return if This Demand Occurs Weak 0.1 (30%) Below average 0.1 (14) Average 0.3 11 Above average 0.3 20 Strong 0.2 45 1.0 Calculate the stock’s expected return, standard deviation, and coefficient of variation.

### How to calculate portfolio standard deviation: Step-by-step guide. While most brokerages will tell you the standard deviation for a mutual fund or ETF for the most recent three-year (36 months) period, you still might wish to calculate your overall portfolio standard deviation by factoring the standard deviation of your holdings.

Population Standard Deviation. If a data set represents the entire population, the true standard deviation can be calculated as follows: where r is the i th value of the rate of return on an asset in a data set, ERR is the expected rate of return or the true mean, and N is the size of a population. EXPECTED RETURN A stock’s returns have the following distribution; Demand for the Company’s Products Probability of This Demand Occurring Rate of Return if This Demand Occurs Weak 0.1 (30%) Below average 0.1 (14) Average 0.3 11 Above average 0.3 20 Strong 0.2 45 1.0 Calculate the stock’s expected return, standard deviation, and coefficient of variation.

### Your expected return for each stock over the next year is 10% and 14%. Calculate expected return on your portfolio. Investment in Apple = 100 × 156.41 = 15,641 Investment in Google = 30 × 1,046.27 = 31,388 You might be interested in reviewing how to calculate portfolio standard deviation.

Your expected return for each stock over the next year is 10% and 14%. Calculate expected return on your portfolio. Investment in Apple = 100 × 156.41 = 15,641 Investment in Google = 30 × 1,046.27 = 31,388 You might be interested in reviewing how to calculate portfolio standard deviation. Expected return is by no means a guaranteed rate of return. However, it can be used to forecast the value of portfolio and it also provides a guide from which to measure actual returns. Population Standard Deviation. If a data set represents the entire population, the true standard deviation can be calculated as follows: where r is the i th value of the rate of return on an asset in a data set, ERR is the expected rate of return or the true mean, and N is the size of a population. EXPECTED RETURN A stock’s returns have the following distribution; Demand for the Company’s Products Probability of This Demand Occurring Rate of Return if This Demand Occurs Weak 0.1 (30%) Below average 0.1 (14) Average 0.3 11 Above average 0.3 20 Strong 0.2 45 1.0 Calculate the stock’s expected return, standard deviation, and coefficient of variation. The complete portfolio is composed of a risky asset with an expected rate of return of 16% and a standard deviation of 20% and a Treasury bill with a rate of return of 6%. The slope of the capital allocation line formed with the risky asset and the risk-free asset is approximately _________. Expected returns and standard deviation are two of the most popular statistical measures used to analyse an investment portfolio. The expected return of a portfolio is referred to as the amount of returns which is anticipated for a portfolio to generate, whereas standard deviation of an investment portfolio is used to measure the amount of returns which may deviate from its mean.

## Expected returns and standard deviation are two of the most popular statistical measures used to analyse an investment portfolio. The expected return of a portfolio is referred to as the amount of returns which is anticipated for a portfolio to generate, whereas standard deviation of an investment portfolio is used to measure the amount of returns which may deviate from its mean.

EXPECTED RETURN A stock’s returns have the following distribution; Demand for the Company’s Products Probability of This Demand Occurring Rate of Return if This Demand Occurs Weak 0.1 (30%) Below average 0.1 (14) Average 0.3 11 Above average 0.3 20 Strong 0.2 45 1.0 Calculate the stock’s expected return, standard deviation, and coefficient of variation.

The proportion of Asset X in the portfolio is 30%, and the proportion of Asset Y is 70%. The standard deviation of return of Asset X is 21% and 8% for Asset Y. Returns of Asset X and Asset Y are positively correlated as far as the correlation coefficient equals 0.347. Let’s put these values into the formula above. To calculate the expected return of a portfolio, needs to add up the weighted averages of each security's anticipated rates of return Expected Return vs. Standard Deviation. Portfolio Standard Deviation is the standard deviation of the rate of return on an investment portfolio and is used to measure the inherent volatility of an investment. It measures the investment’s risk and helps in analyzing the stability of returns of a portfolio. Calculating the expected return for both portfolio components yields the same figure: an expected return of 8%. However, when each component is examined for risk, based on year-to-year deviations from the average expected returns, you find that Portfolio Component A carries five times more risk than Portfolio Component B (A has a standard deviation of 12.6%, while B’s standard deviation is only 2.6%). Your expected return for each stock over the next year is 10% and 14%. Calculate expected return on your portfolio. Investment in Apple = 100 × 156.41 = 15,641 Investment in Google = 30 × 1,046.27 = 31,388 You might be interested in reviewing how to calculate portfolio standard deviation. Expected return is by no means a guaranteed rate of return. However, it can be used to forecast the value of portfolio and it also provides a guide from which to measure actual returns.