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- For a two-period binomial model, you are given: Each period is one year. The current price for a non dividend-paying stock is 20. u = 1.2840, where u is one plus the rate of capital gain on the stock per period if the stock price goes up. d = 0.8607, where d is one plus the rate of capital loss on the stock per period if the stock price goes down. The continuously compounded risk-free interest rate is 5%. Calculate the price of an American call option on the stock with a strike price of 22.Consider the rate of return of stocks ABC and XYZ. Year rABC rXYZ 1 22 % 34 % 2 12 12 3 14 18 4 7 0 5 1 −8 1. If you were equally likely to earn a return of 22%, 12%, 14%, 7%, or 1%, in each year (these are the five annual returns for stock ABC), what would be your expected rate of return? (Do not round intermediate calculations.) 2. What if the five possible outcomes were those of stock XYZ? 3. Given your answers to (d) and (e), which measure of average return, arithmetic or geometric, appears more useful for predicting future performance? A. Arithmetic B. GeometricAssume that a stock had an expected return of 12.00% and a standard deviation of 4.00%. What is the maximum return you would expect to see on the stock 95 percent of the time?
- If a portfolio manager expects the market to go down by 2% next year, which stock should the manager buy? (these are betas) A. -1B. - .5 C. OD. 1E. 2NoneDuring any given year, each stock in a portfolio will either increase in value or decrease in value (no stock will remain exactly even). Assume that each stock in the portfolio has a 52% chance of increasing in value. The portfolio contains four different stocks and the stock prices are independent of each other. (a) What is the probability that all of the stocks decrease in value during the year? (Round answer to four decimal places.) (b) What is the probability that at least one of the stocks will increase in value during the year? (Round answer to four decimal places.) (c) What is the probability that at least one of the stocks will decrease in value during the year? (Round answer to four decimal places.)
- Considering the attached set of securities and portfolio returns: Assume that you initially invested $1,000,000 in the portfolio and that the distribution of the annual rate of return of the portfolio is normal. What is the distribution of the return of the portfolio 20 years after its formation? Provide the graph of the distribution of the return of the portfolio.if you were to invest 40% in A and 60% in B, what would be the expected return of your portfolio? Enter return in decimal form, rounded to 4th digit, as in "0.1234"The last four years of returns for a stock are as follows: 2 27.9% Year Return 1 -3.5% 3 12.5% 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? a. What is the average annual return? The average return is %. (Round to two decimal places.) 4 3.6%
- We assume that the stochastic process for a stock price is an Arithmetic Brownian motion, with a drift of 51% and, diffusion of 50%. Find the probability that the stock price will be between $0.11 and $2.07 in 3 years.Stocks A and B have the following historical returns: a. Calculate the average rate of return for each stock during the period 2013 through2017.b. Assume that someone held a portfolio consisting of 50% of Stock A and 50% ofStock B. What would the realized rate of return on the portfolio have been eachyear? What would the average return on the portfolio have been during thisperiod?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, orthe portfolio? Why?1. A stock price is currently $50 and it follows geometric Brownian motion with an expected return of 10% and volatility of 25% per year. The probability that the stock price at the end of 9 months will be greater than or equal to $60 is closest to: a. 0.6037 b. 0.2245 c. 0.2730 d. 0.7755
