Assume that the economy can experience four possible states: high growth, normal growth, rece those states, you expect the following stock market returns for the coming year: State of the Economy High Growth Normal Growth Recession Depression Probability 0.2 0.6 0.15 0.05 Return +20% +8% -10% -30%

Assume the following states of the world could exist in the economy tomorrow. Find the expected return for this stock. Reminder that the states of the world have to add to 100%.    Probability Return 30% -1 50% 5 xx% 11

Felix is estimating the return for Togo Sledding and has determined the following probabilities and expected returns. Togo's expected return is closest to: Expected Probability Return Roaring expansion Steady high growth Steady moderate growth Slowing Recession 9% 17% 11% 14% 15% 8% 42% 3% 23% -5%

Nikul

Nikul

Suppose you invest 70% of your fund in stock A and the other 30% in stock B. If stock A and B are expected to have the following returns next year, then what are the standard deviations for Stock A, Stock B and the portfolio returns respectively? Probability State of Economy Recession Boom 9.60%; 11.6% 12.60%; 14.2% 2.60%; 14.05% 9.60%; 7.80% .2 .8 Stock A -9% 18% Stock B 1% 3%

Consider the following scenario analysis: Scenario Recession Normal economy Boom Required A Probability 0.3 0.4 0.3 Assume a portfolio with weights of 0.60 in stocks and 0.40 in bonds. a. What is the rate of return on the portfolio in each scenario? b. What are the expected rate of return and standard deviation of the portfolio? Rate of Return Stocks Bonds 12% 7 3 Complete this question by entering your answers in the tabs below. Required B Expected return Standard deviation -4% 13 22 What are the expected rate of return and standard deviation of the portfolio? Note: Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places % %

es Consider the following information: State of Economy Recession Boom Probability of State of Expected return Economy .28 72 Portfolio Return if State Occurs Calculate the expected return. (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) -.13 .23 %

If the probability of a recession is 0.3, normal growth is 0.4 and a boom is 0.3, and the payoff in the event of a recession is $100, normal growth is $300 and boom is $500, what is the expected payoff? a. $300 b. $400 c. $200 d. $500

4.StockA sells for $40 a share. Its likely dividend payout and end-of-year price depend on the state of the economy by the end of the year as follows: Probability Stock Price Boom $50 Normal economy 42 Recession 30 50% 30% 20% Dividend $2.00 1.00 0.50 a.Calculate the expected holding-period return and standard deviation of the holding period return. b.Calculate the expected return and standard deviation of a portfolio invested half in this stock and half in Treasury bills. The return on bills is 4%.