## B. calculate the standard deviation for the two stocks

The standard deviation of return (sp) will, as always, be the square root of the variance: When a portfolio includes two risky assets, the Analyst needs to take into account For this we start with a reduced-form equation in which vp is expressed as a For any desired level of risk, a portfolio "based on" asset b will provide a  Standard Deviation of Portfolio: 18%. Thus we can see that the Standard Deviation of Portfolio is 18% despite individual assets in the portfolio with a different Standard Deviation (Stock A: 24%, Stock B: 18% and Stock C: 15%) due to the correlation between assets in the portfolio. For example, in comparing stock A that has an average return of 7% with a standard deviation of 10% against stock B, that has the same average return but a standard deviation of 50%, the first stock would clearly be the safer option, since standard deviation of stock B is significantly larger, for the exact same return.

The correct answer is : Expected Return for Stock A= 12.75 Expected Return for Stock B= 7.50 Explanation : Expected Return for Stock A=Expected Return = Probability of the State * Return on tview the full answer. You also may use covariance to find the standard deviation of a multi-stock portfolio. The standard deviation is the accepted calculation for risk, which is extremely important when selecting stocks. Most investors would want to select stocks that move in opposite directions because the risk will be lower, This simple scan searches for S&P 600 stocks that are in an uptrend. The final scan clause excludes high volatility stocks from the results. Note that the standard deviation is converted to a percentage of sorts so that the standard deviation of different stocks can be compared on the same scale. Interpret the standard deviation. As we can see that standard deviation is equal to 9.185% which is less than the 10% and 15% of the securities, it is because of the correlation factor: If correlation equals 1, standard deviation would have been 11.25%. EXPECTED RETURN: A stock's returns have the following distribution: probability of this demand occurring.1.2.4.2.1----1.0 Rate of return if this demand occurs (50%) (5) 16 25 60 calculate the stocks expected return, standard deviation, and coefficient of variation. c) Calculate the standard deviation of returns for each stock and for the portfolio. d) Calculate the coefficient of variation for each stock and for the portfolio. e) Assuming you are a risk-averse investor, would you prefer to hold Stock A, Stock B, or the portfolio ? why ? For example, in comparing stock A that has an average return of 7% with a standard deviation of 10% against stock B, that has the same average return but a standard deviation of 50%, the first stock would clearly be the safer option, since standard deviation of stock B is significantly larger, for the exact same return.

## 22 May 2019 Portfolio standard deviation for a two-asset portfolio is given by the following formula: ρAB = correlation coefficient between returns on asset A and asset B. A year back he started following the stocks. Okoso requested you to calculate for him the extent to which the risk was reduced by the strategy.

To find the median we take the average of the two. 44 + 46. Median = = 45 2. Notice also that the mean is larger than all but three of the data points. The mean   Standard Deviation of Portfolio Return: Two Risky. Assets. IV. Graphical stock 2 , as well as the regression of the return on stock 2. (denoted y) on the return on  The standard deviation of return (sp) will, as always, be the square root of the variance: When a portfolio includes two risky assets, the Analyst needs to take into account For this we start with a reduced-form equation in which vp is expressed as a For any desired level of risk, a portfolio "based on" asset b will provide a  Standard Deviation of Portfolio: 18%. Thus we can see that the Standard Deviation of Portfolio is 18% despite individual assets in the portfolio with a different Standard Deviation (Stock A: 24%, Stock B: 18% and Stock C: 15%) due to the correlation between assets in the portfolio. For example, in comparing stock A that has an average return of 7% with a standard deviation of 10% against stock B, that has the same average return but a standard deviation of 50%, the first stock would clearly be the safer option, since standard deviation of stock B is significantly larger, for the exact same return. Find the Standard Deviation of Each Stock. The standard deviation of each stock or portfolio is the square root of the variance we calculated in the previous step. Investment A: √.013= 11.4%. Investment B: √.008= 8.94% How to Calculate Stock Prices With Standard Deviations. Knowing the standard deviation for a set of stock prices can be an invaluable tool in gauging a stock's performance. A standard deviation is a measure of how spread out a set of data is. A high standard deviation indicates a stock's price is fluctuating

### Compute standard deviation. Calculated, The expected rate of return is 13.9%. Calculation of standard deviation: The formula to calculate the standard deviation is: σ = ∑ i = 1 N (r i − r ∧) 2 P i. Where, r ∧ is the expected rate of return; w i is the weight of the stock; r i is the estimated rate of return; N is the number of stocks

It is the ratio of the standard deviation to the mean (average). The CV is particularly useful when you want to compare results from two different B has a CV of 25%, you would say that sample B has more variation, relative to its mean. Finding the variance and standard deviation of a discrete random variable. 2 years ago. Posted 2 Thus, if the relative frequency is used to calculate the expected value, the relative frequency is also used to calculate the standard deviation. 15 Aug 2019 Mean, Standard deviation, and Error bar in Python Take the square root of the variance to find the standard deviation. The mean temperature of two cities are 33.4 for City A and 33.5 for City B, which are very close to each  5 Jul 2010 In fact, G. (2) If you decided to hold a 1-stock portfolio, Answer: [Show S8-32 Chapter 8: Risk and Rates of Return Answers and Solutions 3; 4. b. (1) Calculate the expected return ( ˆp ), the standard deviation (σ p), and r  For these two assets, investing 25% in Stock A and 75% in Stock B would allow If we want to find the exact minimum variance portfolio allocation for these two assets, You could achieve a standard deviation of 2% while still earning a 4%

### EXPECTED RETURN: A stock's returns have the following distribution: probability of this demand occurring.1.2.4.2.1----1.0 Rate of return if this demand occurs (50%) (5) 16 25 60 calculate the stocks expected return, standard deviation, and coefficient of variation.

To find the median we take the average of the two. 44 + 46. Median = = 45 2. Notice also that the mean is larger than all but three of the data points. The mean   Standard Deviation of Portfolio Return: Two Risky. Assets. IV. Graphical stock 2 , as well as the regression of the return on stock 2. (denoted y) on the return on  The standard deviation of return (sp) will, as always, be the square root of the variance: When a portfolio includes two risky assets, the Analyst needs to take into account For this we start with a reduced-form equation in which vp is expressed as a For any desired level of risk, a portfolio "based on" asset b will provide a  Standard Deviation of Portfolio: 18%. Thus we can see that the Standard Deviation of Portfolio is 18% despite individual assets in the portfolio with a different Standard Deviation (Stock A: 24%, Stock B: 18% and Stock C: 15%) due to the correlation between assets in the portfolio. For example, in comparing stock A that has an average return of 7% with a standard deviation of 10% against stock B, that has the same average return but a standard deviation of 50%, the first stock would clearly be the safer option, since standard deviation of stock B is significantly larger, for the exact same return. Find the Standard Deviation of Each Stock. The standard deviation of each stock or portfolio is the square root of the variance we calculated in the previous step. Investment A: √.013= 11.4%. Investment B: √.008= 8.94%

## Stock Expected Return Standard Deviation Beta A 10% 20% 1.0 B 10% 10% 1.0 C 12% 12% 1.4 Portfolio AB has half of its funds invested in Stock A and half in Stock B. Portfolio ABC has one third of its funds invested in each of the three stocks. The risk-free rate is 5%, and the market is in equilibrium,

This calculator is designed to determine the standard deviation of a two asset portfolio based on 1) The correlation between A & B must be between -1 and + 1. For a portfolio of two stocks, Andrew wants to calculate the portfolio for stock B. Andrew can calculate the variance and standard deviation as  If the two assets are not perfectly positively correlated, the standard deviation of the portfolio is less than magnitude of the individual stocks' standard deviations and the relationship between their co-movements. What is the covariance between the returns of A and B? To calculate this, we construct the following table:  You can find it by using MS-Excel also for that you use command Insert - function - All - average for calculating individual means. Insert - function - All - Varp will  This free standard deviation calculator computes the standard deviation, variance , i.e. for the data set 1, 3, 4, 7, 8, i=1 would be 1, i=2 would be 3, and so on. 7 % with a standard deviation of 10% against stock B, that has the same average  We first need to calculate the standard deviations of each of the stocks in the any two stocks in a portfolio; Correlation between stock A with stock B is the same   22 May 2019 Most Views · Newest · Step 1: Active Investors · Step 2: Nobel Laureates · Step 3: Stock Pickers Based on these two numbers, we can calculate how many years we IFA utilizes "standard deviation" as a quantification of risk, see the In this example, series A has a t-stat of 13.4 and series B has a t-stat

Enter Your Answers As A Percentage Rounded To 2 Decimal . Occurs State of Probability of State Economy of Economy Stock A Stock B Recession .24 E(RA) % E(RB) % Requirement 2: Calculate the standard deviation for the two stocks. So, standard deviation of stock A is: 2A =.3333(.063 – .1080)^2 + .3333(.105 014446 B = (.01445)^(1/2) = .1202 or 12.02% c) To find the covariance, we  Expected return E( R A ) % E( R B ) % b. Calculate the standard deviation for the two stocks. (Do not round intermediate calculations and enter your answers as  22 May 2019 Portfolio standard deviation for a two-asset portfolio is given by the following formula: ρAB = correlation coefficient between returns on asset A and asset B. A year back he started following the stocks. Okoso requested you to calculate for him the extent to which the risk was reduced by the strategy. Calculate the internal rate of return (IRR) and net present value (NPV) for one year of Assume an investor wants to select a two-stock portfolio and will invest equally in Asset Expected Return Standard Deviation. A. 4%. 25%. B. 7%. 35%   This calculator is designed to determine the standard deviation of a two asset portfolio based on 1) The correlation between A & B must be between -1 and + 1.