calculate the expected return and standard deviation for the following single stock
What is a population standard deviation?
The population standard deviation, the standard definition of σ, is used when an entire population can be measured, and is the square root of the variance of a given data set. In cases where every member of a population can be sampled, the following equation can be used to find the standard deviation of the entire population:
What is the standard deviation of X?
The standard deviation of X is the square root of this sum: σ = √1.05 ≈ 1.0247 The mean, μ, of a discrete probability function is the expected value. The standard deviation, Σ, of the PDF is the square root of the variance.
How do you find the standard deviation of a probability distribution?
Like data, probability distributions have standard deviations. To calculate the standard deviation ( σ) of a probability distribution, find each deviation from its expected value, square it, multiply it by its probability, add the products, and take the square root.
How do you calculate standard deviation in soccer?
To understand how to do the calculation, look at the table for the number of days per week a men’s soccer team plays soccer. To find the standard deviation, add the entries in the column labeled ( x – μ) 2P ( x) and take the square root.
Population Standard Deviation
The population standard deviation, the standard definition of σ, is used when an entire population can be measured, and is the square root of the variance of a given data set. In cases where every member of a population can be sampled, the following equation can be used to find the standard deviation of the entire population: For those unfamiliar w
Sample Standard Deviation
In many cases, it is not possible to sample every member within a population, requiring that the above equation be modified so that the standard deviation can be measured through a random sample of the population being studied. A common estimator for σ is the sample standard deviation, typically denoted by s. It is worth noting that there exist man
Applications of Standard Deviation
Standard deviation is widely used in experimental and industrial settings to test models against real-world data. An example of this in industrial applications is quality control for some products. Standard deviation can be used to calculate a minimum and maximum value within which some aspect of the product should fall some high percentage of the
Exercise 1. An investor purchased 125 shares of a stock for $27.90
Probability X's Return Y's Return. I. 60%. 25%. 15%. II. 40%. 10%. 11%. Calculate the expected return standard deviation and correlation coefficient for both |
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one you obtained in (c) of the previous question. Comment. 17. Calculate the expected return and standard deviation of a portfolio of stocks A B and C. |
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Calculate the expected nominal return and the standard deviation of the following stock. One may have to put much effort in finding and implementing positive ... |
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The figure below shows the one-year return distribution for RCS stock. Calculate a. The expected return. b. The standard deviation of the return. a. [ ] |
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Calculate the standard deviation of the portfolio return with the revised weights. Calculate the required return for Stock Y. (A) 1.48%. (B). 2.52%. (C). 3.16 ... |
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Given the following statistics for three stocks A |
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Compute the expected return and standard deviation of a portfolio a that is equally invested in stocks 1 2 and 3 |
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Average annual return Standard Deviation Correlation with market. A. B. C. D. E. F Required: Calculate Annual rate of return for each of the investors. [6+6 ... |
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The formulas below are used to calculate the expected return and standard deviation of returns for a single security when you know the probability of possible |
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Compute the. Expected Return and its standard Deviation. [4]. Price. 135. 140. 145. 150. 155. 160. Probability. 0.1. 0.1. 0.2. 0.3. 0.2. 0.1. (e) Company is |
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Calculate the standard deviation of the portfolio return. (A) 4.50% You are given the following set of diagrams for a two-stock portfolio with expected ... |
Risk and Return – Part 2
The formulas below are used to calculate the expected return and standard deviation of returns for a single security when you know the probability of possible |
MIT Sloan Finance Problems and Solutions Collection Finance
Stock B 15%. 25%. (a) The correlation between stocks A and B is 0.8. Compute the expected return and standard deviation of a portfolio that has 0%. |
1. (6 points) An investor considers the following information. • Risk
Assume the investor wishes to invest in one and only one of the following options: with the expected return and standard deviation of this portfolio. |
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Given the following statistics for three stocks A |
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Statistics for Two Mutual Funds are as follows: Debt. Equity. Expected return E(r). 8%. 13%. Standard deviation |
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Calculate the expected return and variance or standard deviation of Calculate the variance of an equally weighted portfolio of n stocks given the. |
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(a) What is the equation of the Capital Market Line (CML)?. (b) What is the standard deviation of an efficient portfolio whose expected return of. 16.5%? How |
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individual stock in terms of the risk-neutral variance of the market the risk- generally |
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will be on time? Problem 3. Suppose that the expected return on ABC stock over the next year is 9% and that the standard deviation is 4% |
Risk and Return – Part 2
The formulas below are used to calculate the expected return and standard deviation of returns for a single security when Stock 2 returns Probability State of Nature, j Correlation and Covariance of Two that consists of the following: |
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of return is 5 , calculate the mean return of the portfolios consisting of: a 75 of stock A Evaluating for the individual portfolios a ¯rπ = 2 × 11 25 Given the following Number of Shares Price Expected Return Standard Deviation A 100 |
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investment is uncertain, one should look at the expected return of a portfolio The standard deviation of the returns of the portfolio is a measure of the uncertainty The following table gives the price of Andover Company stock, along with the |
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period return (HPR) and is measured in any one of the 3 following methods: Profit Calculate the variance and standard deviation of the returns Year Using the probability distribution shown below, calculate Stock XYZs expected return, |
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The “expected” return does not even have to be a possible return ∑ = Deviation • Variance and standard deviation still measure the volatility of returns we did with individual securities ∑ = = m stock prices move when an unexpected |
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How to estimate the expected return and risk? ❑ based Standard deviation is the square root of variance E r p s r s of a portfolio or a single stock Efficient |
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Bond A has a face value of $1,000 and a coupon rate of 10 Bond B has a For each of the following probability distributions, calculate the expected value and standard deviation: a One 10 60 0 060000 0 320000 0 102400 0 010240 Two 50 40 Investment Expected return Standard deviation A 5 |
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Follow this and additional works at: http://repository upenn edu/fnce_papers expected market risk premium (the expected return on a stock portfolio minus the Treasury bill yield) the covariance between its return and one or more variables estimate the monthly standard deviation of stock market returns from January |
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Find E[X] Problem 2 You invest $3 thousand in one stock and your spouse your spouse's will increase by Y dollars; X and Y are random variables with the following properties: What is the standard deviation of your family portfolio earnings? Suppose that the expected return on ABC stock over the next year is 9 and |