## Two stock portfolio standard deviation

Example: Calculating the Expected Return of a Portfolio of 2 Assets Formula for the standard deviation of investment returns. s = Standard Deviation (5 points) What is the standard deviation of a portfolio invested 20 percent What are the covariance and correlation between the returns of the two stocks? For given portfolio weights and given standard deviations of asset returns, the case of all standard deviation by investing in Stock B but is this 50/50 portfolio optimal? If we want to find the exact minimum variance portfolio allocation for these two expected return and risk of a two-asset portfolio (e.g., Ross, Westerfield, and Jaffe and standard deviation (or variance) would prefer efficient portfolios that had. Figure 1: A two-security illustration of risk-return trade-o¤ in modern finance, it has not received any attention in standard investment textbooks. x ; and the corresponding variance and standard deviation of portfolio returns, p 2 and p ; for p Calculate and interpret the expected return and standard deviation for two-stock portfolios. Explain/diagram the concept and implications of portfolio diversification.

## Figure 1: A two-security illustration of risk-return trade-o¤ in modern finance, it has not received any attention in standard investment textbooks. x ; and the corresponding variance and standard deviation of portfolio returns, p 2 and p ; for p

O (1): The standard deviation of one asset in the portfolio squared. W (2): Weight of second stock in the portfolio squared. O (2): The standard deviation of the second asset in the portfolio squared. Q (1,2): The correlation between the two assets in the portfolio has been denoted as q (1,2). Answer to 1.) Create a portfolio using the two stocks and information below: Expected Return Standard Deviation Weight in Portfoli This video explains how to calculate a portfolio return standard deviation without calculating the covariances between the portfolio component returns. Standard Deviation of a Two-Asset The standard deviation of the portfolio variance can be calculated as the square root of the portfolio variance: Note that for the calculation of the variance for a portfolio that consists of multiple assets, you should calculate the factor 2wiwjCovi.j (or 2wiwjρi,j,σiσj) for each possible pair of assets in the portfolio. An investor wants to calculate the standard deviation experience by his investment portfolio in the last four months. Below are some historical return figures: The first step is to calculate Ravg, which is the arithmetic mean: The arithmetic mean of returns is 5.5%. The standard deviation is often used by investors to measure the risk of a stock or a stock portfolio. The basic idea is that the standard deviation is a measure of volatility: the more a stock's returns vary from the stock's average return, the more volatile the stock.

### (5 points) What is the standard deviation of a portfolio invested 20 percent What are the covariance and correlation between the returns of the two stocks?

The standard deviation of a two-asset portfolio is calculated by squaring the weight of the first asset and multiplying it by the variance of the first asset, added to the square of the weight of This video explains how to calculate a portfolio return standard deviation without calculating the covariances between the portfolio component returns. Standard Deviation of a Two-Asset

### Asset A has a 95% probability of achieving an actual return between -8% and 52 % (i.e. two standard deviations below and above expected return On the graph

21 Jun 2019 The standard deviation of a portfolio represents the variability of the Let's say there are 2 securities in the portfolio whose standard deviations Diversify by investing in many different kinds of assets at the same time: stocks,

## (5 points) What is the standard deviation of a portfolio invested 20 percent What are the covariance and correlation between the returns of the two stocks?

21 Jun 2019 The standard deviation of a portfolio represents the variability of the Let's say there are 2 securities in the portfolio whose standard deviations Diversify by investing in many different kinds of assets at the same time: stocks, 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

This video explains how to calculate a portfolio return standard deviation without calculating the covariances between the portfolio component returns. Standard Deviation of a Two-Asset Standard Deviation of a two Asset Portfolio In general as the correlation reduces, the risk of the portfolio reduces due to the diversification benefits. Two assets a perfectly negatively correlated provide the maximum diversification benefit and hence minimize the risk. The equation for the portfolio variance of a two-asset portfolio, the simplest portfolio variance calculation, takes into account five variables: w 1 = the portfolio weight of the first asset. w 2 = the portfolio weight of the second asset. σ 1 = the standard deviation of the first asset. Stock A: Square root of 0.04 = 2.05% Stock B: Square root of 0.05 = 2.17% The coefficient of variance CV for the two stocks is 0.80 and the portfolio weights for each stock are 65% for stock A and 35% for stock B. Andrew can calculate the variance and standard deviation as follows: Portfolio variance = (65%² x 2.05%²) + (35%² x 2.17%²)