22 April 2022 12:56

[Finance] Let’s assume that Portfolio A has 7% expected return with 5% standard deviation, while Portfolio B has the same return but with only 3% standard deviation. All values above refer to the same year. Which one is better and why

How do you calculate expected return and standard deviation of a portfolio?

Then add the values for each investment to get the total expected return for your portfolio. Hence, the formula: Expected Portfolio Return = (Asset 1 Weight x Expected Return) + (Asset 2 Weight x Expected Return)



Calculating Expected Return.

Asset Weight Expected Return
A 35% 6%
B 25% 7%
C 40% 10%


How do you calculate expected return from deviation?

Instead, it tells you how volatile the asset has been in the past.

  1. 5 steps to calculate standard deviation. …
  2. Calculate the average return (the mean) for the period. …
  3. Find the square of the difference between the return and the mean. …
  4. Add the results. …
  5. Divide the result by the number of data points minus one. …
  6. Take the square root.


How do you calculate the beta of a portfolio?

Portfolio Beta formula



Add up the value (number of shares x share price) of each stock you own and your entire portfolio. Based on these values, determine how much you have of each stock as a percentage of the overall portfolio. Take the percentage figures and multiply them with each stock’s beta value.

How do you calculate the rate of return on a portfolio?

ROI is calculated by subtracting the initial value of the investment from the final value of the investment (which equals the net return), then dividing this new number (the net return) by the cost of the investment, then finally, multiplying it by 100.

How do you calculate expected portfolio return in Excel?

In column D, enter the expected return rates of each investment. In cell E2, enter the formula = (C2 / A2) to render the weight of the first investment. Enter this same formula in subsequent cells to calculate the portfolio weight of each investment, always dividing by the value in cell A2.

How do you calculate expected return?

Expected return is calculated by multiplying potential outcomes by the odds that they occur and totaling the result.



Expected return = (return A x probability A) + (return B x probability B).

  1. First, determine the probability of each return that might occur. …
  2. Next, determine the expected return for each possible return.

How do you calculate the standard deviation of a portfolio?


Quote: That the standard deviation of a two-asset portfolio equals the weight and the first asset the weight and asset I squared times the standard deviation squared.

How do you find the standard deviation of a portfolio?

The level of risk in a portfolio is often measured using standard deviation, which is calculated as the square root of the variance.

How do you calculate standard deviation in financial management?

Standard deviation formula



Calculate the variance for each data point by subtracting the mean value from the data point value. Square each resulting variance and add the points together. Divide this from the number of data points minus one. Take the square root of the variance to find standard deviation.

How do you calculate standard deviation of a portfolio in Excel?

Quote:
Quote: I select create from selection. And then yes the names are in the top row. So I click OK and now I'm ready to calculate a standard deviation which is going to be the square root of the variance.

How do you find the standard deviation of an investment return?

To find standard deviation on a mutual fund, add up the rates of return for the period you want to measure and divide by the total number of rate data points to find the average return. Further, take each individual data point and subtract your average to find the difference between reality and the average.

What is standard deviation in investment?

Standard deviation is a measure of the risk that an investment will fluctuate from its expected return. The smaller an investment’s standard deviation, the less volatile it is. The larger the standard deviation, the more dispersed those returns are and thus the riskier the investment is.

What is standard deviation of stock returns?

Standard deviation is the statistical measure of market volatility, measuring how widely prices are dispersed from the average price. If prices trade in a narrow trading range, the standard deviation will return a low value that indicates low volatility.

What does standard deviation mean in finance?

Standard deviation measures the dispersion of a dataset relative to its mean. It is calculated as the square root of the variance. Standard deviation, in finance, is often used as a measure of a relative riskiness of an asset.

What is the standard deviation of the data 5 10 15?

Answer: s = 15.1383σ & 14.3614σ for sample & total population respectively for the dataset 5, 10, 15, 20, 25, 30, 35, 40, 45 and 50.

What is the standard deviation of the data 10 28 13?

Given data: 10, 28, 13, 18, 29, 30, 22, 23, 25, 32. Hence, ∑xi = 10 + 28 + 13 + 18 + 29 + 30 + 22 + 23 + 25 + 32 = 230. Hence, Mean, μ = 230/10 = 23. Hence, the standard deviation is 7.

What is the standard deviation of 15?

A standard devation of 15 means 68% of the norm group has scored between 85 (100 – 15) and 115 (100 + 15). In other words, 68% of the norm group has a score within one standard deviation of the average (100).