A financial process related to a stock price subjects to a probabilistic behavior through a certain time interval which has been divided into a number of periods where the one step returm rates are statically independent and each one them follows exponential distribution where beginning value of stock price equals to 100$. Find the first level of deviation of the price after 3 periods such that the average value of price after two periods equals to 180$

how do you calculate a stocks average monthly return,its return variance ,standard deviation and beta? what is the formula

The covariance of the market's returns with the stock's returns is 0.008. The standard deviation ofthe market's returns is 0.08, and the standard deviation of the stock's returns is 0. 11. What is thecorrelation coefficient of the returns of the stock and the returns of the market?

Expected Return: Discrete Distribution A stock's return has the following distribution: Demand for the Company's Products Probability of This Demand Occurring Rate of Return if This Demand Occurs (%)   Weak 0.1 -25%   Below average 0.2 -8   Average 0.4 7   Above average 0.2 35   Strong 0.1 60     1.0     Calculate the stock's expected return. Round your answer to two decimal places.___% Calculate the standard deviation. Round your answer to two decimal places.___%

What is the average annual return? b. What is the variance of the stock's returns? c. What is the standard deviation of the stock's returns? Note: Notice that the average return and standard deviation must be entered in percentage format. The variance must be entered in decimal format. Year 1 2 3 4 Return (%) Year1: -4.1% Year2: 27.6% Year 3: 12.3% Year 4: 3.6%

Consider the discrete-time binomial tree model with three periods of length 1, i.e. T = 3 and t = 0, 1, 2, 3. In each period the price can move up or down, St+1 is either uSt or dSt. Assume that the factor for moving up is u = 4/3, the factor for moving down is d = 3/4, and that the interest rate is r = 0.0. The initial stock price is So = 1. (a) Compute the price process (i.e. prices at all times and states) for a European Put option on the stock with strike price K = 1 and maturity T = 3. (x - ž) (b) Compute the price at time t = 0 of the Australian option K with ST K = 1. Note: As this option is path dependent, you will not be able to use the recursive method, nor will you be able to use the CRR formula.

d. Interpret your results in (c) above, assuming that the historical average return of 8.5% from the stock is a good benchmark. e. Critically evaluate the strengths and weaknesses of applying the implied rate of return from the RIVM as a proxy of the expected return.

Consider the two (excess return) index-model regression results for stocks A and B. The risk-free rate over the period was 7%, and the market's average return was 14%. Performance is measured using an index model regression on excess returns. Index model regression estimates R-square Residual standard deviation, o(e) Standard deviation of excess returns Stock A 1% +1.2(rm - rf) Stock B 2% +0.8(rm – rf) 0.635 0.466 11.3% 22.6% 20.1% 26.9% Required: a. Calculate the following statistics for each stock: b. Which stock is the best choice under the following circumstances? Complete this question by entering your answers in the tabs below. Required A Required B Calculate the following statistics for each stock: Note: Round your answers to 4 decimal places. i. Alpha ii. Information ratio iii. Sharpe ratio iv. Treynor measure Stock A Stock B % %

If markets are in equilibrium, which of the following conditions will exist? a. Each stock's expected return should equal its required return as seen by the marginal investor. b. All stocks should have the same expected return as seen by the marginal investor. c. The expected and required returns on stocks and bonds should be equal. d. All stocks should have the same realized return during the coming year. e. Each stock's expected return should equal its realized return as seen by the marginal investor.

When we test CAPM using historical data, a classic test is to regress excess returns of stocks onto the stock betas, using the following regression specification across stocks: - Rp Rf =α+By+ε where Rup - Rf is the average excess return of a security or portfolio, ẞ is the estimated beta of the security or portfolio, & is the regression residual, and a (Alpha) and y (Gamma) are regression coefficients. Based on the regression, which of the following statements are true if CAPM is true? Select all two correct statements. The Alpha is zero The Alpha is positive The Gamma is positive The Gamma is zero