Suppose that S = $100, K = $100, r = 0.08, σ = 0.30, δ = 0, and T = 1. Construct a standard two-period binomial stock price tree using the method in Chapter 10. consider stock price averages computed by averaging the 6-month and 1-year prices. What are the possible arithmetic and geometric averages after 1 year? Construct a binomial tree for the average. How many nodes does it have after 1 year? (Hint: While the moves ud and du give the same year-1 price, they do not give the same average in year 1.) What is the price of an Asian arithmetic average price call? What is the price of an Asian geometric average price call?

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You are given the following returns on "the market" and Stock F during the last three years. We could calculate beta using data for Years 1 and 2 and then, after Year 3, calculate a new beta for Years 2 and 3. How different are those two betas, i.e., what's the value of beta 2 - beta 1? (Hint: You can find betas using the Rise-Over-Run method, or using your calculator's regression function.)   Year Market Stock F 1 6.10% 19.50% 2 12.90% −3.70% 3 16.20% 21.71%   A. 10.96 B. 10.91 C. 11.06 D. 11.01 E. 11.11 Note:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. Answer completely. You will get up vote for sure.

Calculate the rate of return on a price-weighted index of the three stocks for the first period (t = 0 to t = 1). (Do not round intermediate calculations. Round your answer to 2 decimal places.)   What will be the divisor for the price-weighted index in year 2? (Do not round intermediate calculations. Round your answer to 2 decimal places.)

You are given the following probability distribution of returns for a stock. Use the data to calculate the expected return, standard deviation of returns, and coefficient of variation of returns for the stock. Report the CV to 4 decimal places (13.36% = 0.1336).           Return        Probability               8.0%              0.20             10.0%              0.10             12.0%              0.40             15.0%              0.20             16.0%              0.10

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.

Suppose that the annual return for particular stock follows the same distribution every year, and that the return for any given year is independent of the returns for any prior years. Based on an analysis of the stock's annual returns over an 12 year period, it is determined that the 95% confidence interval for the stock's expected annual return is given by (-0.1724, 0.2861). Find the volatility of the stock. Use the approximation formula from Berk and DeMarzo. 38.52% 40.90% 42.09% 37.32% 39.71%

The table below presents the returns on stocks ABC and XYZ for a five-year period.   Year ABC XYZ 1 0.16 0.12 2 0.42 0.62 3 -0.02 -0.23 4 -0.26 -0.62 5 0.48 0.52   Calculate the average return, and standard deviation of stock ABC and XYZ. Also calculate the correlation between the two stocks. What does the correlation tell you about the return movements of the two stocks?                Calculate the weight of each stock in the minimum variance portfolio, assume the expected return equals to average return for each stock.       Find the mix of stocks ABC and XYZ that gives a portfolio on the efficient frontier AND demonstrate why this portfolio is on the efficient frontier by showing that there exists another portfolio of stocks ABC and XYZ that has the same level of risk (portfolio standard deviation) but inferior return. Hint: manipulate the weights you get from part b.       Suppose the risk-free rate is 6%. Also assume the…

Use the times and corresponding closing prices of the stock to create coordinate pairs. Let x represent the number of weeks since the first data point, and let y represent the closing price at each time. So, x=0 represents the data point from 5 years ago. There are 52 weeks in a year, and you can write the time for each closing price recorded in terms of weeks that have passed since 5 years ago, when x=0.  Fill in the table to represent your data as coordinate pairs. x (weeks since 5 yrs ago)     most recent 260 7days ago 259 1 month ago 256 6 months ago 234 1 year ago 208 3 years ago 104 5 years ago 0 y (closing price, in $) most recent 7 days ago 1 month ago 6 months ago 1 year ago 3 years ago 5 years ago

The last four years of returns for a stock are as shown here: a. 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. Data table (Click on the following icon in order to copy its contents into a spreadsheet.) Year 4 Return +3.51% 1 - 4.17% 2 +27.82% 3 + 11.88% X