Question

3. (15 points) Suppose an investor invests $100 in a stock that in each period can either double or half with equal probability. The returns in each period are uncorrelated a. Calculate the variance of the investors dollar position after one period. b. Calculate the variance of the investors dollar position after holding the stock for two periods c. Suppose there are two independent stocks: each stock can either double or half with equal probability. Assume the investor invests 850 in one stock and 850 in another stock. Calculate the variance of the investors dollar position after one period. c. Why the variances in (b) and (c) are different?

0 0
Add a comment Improve this question Transcribed image text
Know the answer?
Add Answer to:
3. (15 points) Suppose an investor invests $100 in a stock that in each period can...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • P.14 An investor holding a portfolio consisting of two stocks invests 25% of assets in Stock...

    P.14 An investor holding a portfolio consisting of two stocks invests 25% of assets in Stock A and 75% into Stock B. The return RA from Stock A has a mean of 4% and a standard deviation of A = 8%. Stock B has an expected return E(RB) = 8% with a standard deviation of ob = 12%. The portfolio return is P = 0.25RA +0.75RB. (a) Compute the expected return on the portfolio. (b) Compute the standard deviation of...

  • Do not use Excel please, show work Margined Long Position Name Date Suppose that an investor...

    Do not use Excel please, show work Margined Long Position Name Date Suppose that an investor buys 300 shares on margin at $40 per share. The initial margin is 50% and the maintenance margin is 30%. After one year, the investor sells the shares for $38 and closes the long position. During the holding period, the shares paid a dividend of S1.30 per share. Interest on the margin loan is 7% annual. Show the calculations for the numbers you enter...

  • Do not use excel please, show work Short Position Name: Date: Suppose that an investor sells...

    Do not use excel please, show work Short Position Name: Date: Suppose that an investor sells 400 shares short at S50 per share. The initial margin is 50% and the maintenance margin is 30%. After 125 days, the investor purchases the shares for S40 and closes the short position. During the holding period, the shares paid a dividend of $2.50 per share. Show the calculations for the numbers that you enter in the "T" accounts a. Show the investor's beginning...

  • An investor invests 100 dollars in a stock. The return X (in dollars) after 10 years...

    An investor invests 100 dollars in a stock. The return X (in dollars) after 10 years has MGF given by M(t) = exp(180t + 800(t^2)). (a) Find the mean, variance and standard deviation of the return. (b) Find the probability that the return is more than the initial investment. (c) Find the probability that the return is in between 150 and 200 dollars. (d) If Y = e^(X−100), find the density of Y .

  • 1. An investor has two stocks: stock A and stock B. Each stock may increase in...

    1. An investor has two stocks: stock A and stock B. Each stock may increase in value, decrease in value, or remain unchanged. Consider the experiment of investing in the two stocks and observing the change (if any) in value. a. Construct a tree diagram for this experiment. b. Use the tree diagram to construct the sample space for this experiment. c. If possible, calculate the probability that at least one of the stocks will increase in value. If not...

  • 1/3). Each stock is described in the Wilson holds a portfolio that invests equally in three...

    1/3). Each stock is described in the Wilson holds a portfolio that invests equally in three stocks (WA = WB Wc following table: Stock Beta Standard Deviation Expected Return A 0.5 23% 7.5% B 1.0 38% 12.0% C 2.0 45% 14.0% An analyst has used market and firm-specific information to generate expected return estimates for each stock. The analyst's expected return estimates may or may not equal the stocks' required returns. You've also determined that the risk-free rate (TRF) is...

  • . An investor has an opportunity to buy stock in two publicly traded companies: Avvoltoio Airlines...

    . An investor has an opportunity to buy stock in two publicly traded companies: Avvoltoio Airlines and Unctuous Energy. If the investor puts her money in a stock, and the company does well, she earns a return of S14. If the company does not do well, she earns S2. Avvoltoio tends to do well when oil prices are low; Unctuous tends to do well when oil prices are high. The returns are therefore negatively correlated. Returns have the following probability...

  • Calculate the variance and standard deviation of each stock Calculate portfolio returns from each month Here...

    Calculate the variance and standard deviation of each stock Calculate portfolio returns from each month Here are the returns on two stocks. Digital Cheese Executive Fruit January February March +18 +6 -2 +2 +4 +5 April Мay +15 +6 -3 +2 June +3 +7 July August -1 -2 -7 -1 Required: a-1. Calculate the variance and standard deviation of each stock. a-2. Which stock is riskier if held on its own? b. Now calculate the returns in each month of...

  • Suppose that an investor opens an account by investing $1,000. At the beginning of each of...

    Suppose that an investor opens an account by investing $1,000. At the beginning of each of the next four years, he deposits an additional $1,000 each year, and he then liquidates the account at the end of the total five-year period. Suppose that the yearly returns in this account, beginning in year 1, are as follows: -9 percent, 17 percent, 9 percent, 14 percent, and -4 percent. a. Calculate the arithmetic and geometric average returns for this investment. (Do not...

  • Digital Executive Cheese Fruit January February March April May June July August +7 +15 +4 +7 -4 -8 a-1. Calculate the variance and standard deviation of each stock. (Do not round intermediate calc...

    Digital Executive Cheese Fruit January February March April May June July August +7 +15 +4 +7 -4 -8 a-1. Calculate the variance and standard deviation of each stock. (Do not round intermediate calculations. Round your answers to 2 decimal places.) Digital Cheese Retum Executive Fruit Return Variance Standard deviatio a-2. Which stock is the riskier if held on its own? Digital Cheese O Executive Fruit b. Now calculate the returns in each month of a portfolio that invests an equal...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT