The return on stock Ais.13 ir the economy is good and 01 if the economy is bad. The return on stock B is .09 if the economy is good and.05 if it is bad. The probability of a good economy is 50% and the probability of a bad economy is also 50%. Find the standard deviation for a portfolio invested 75% in A and 25% in B. O.04 O 05 O.06 O 07
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- You decide to invest in a portfolio consisting of 21 percent Stock X, 48 percent Stock Y, and the remainder in Stock Z. Based on the following information, what is the standard deviation of your portfolio? State of Economy Normal Boom Probability of State of Economy .84 .16 Return if Stat Stock X Stock Y 10.20% 3.60% 17.50% 25.50%Given a choice between two investments with the same expected payoff: a. Most people will choose the one with the lower standard deviation b. Most people will opt for the one with the higher standard deviation c. Most people will be indifferent since the expected payoffs are the same d. Most people will calculate the variance to assess the relative risks of the two choicesIf the economy booms, Meyer&Co. stock will have a return of 20.8 percent. If the economy goes into a recession, the stock will have a loss of 13.1 percent. The probability of a boom is 63 percent while the probability of a recession is 37 percent. What is the standard deviation of the returns on the stock? 9.29% 12.43% 13.56% 14.61% 14.61%
- A man purchased a $22,500, 1-yr term-life insurance policy for $695. Assuming that the probability that he will live for another year is 0.995, find the company's expected gain. (Round your answer to the nearest cent.) $Two stocks are available. The corresponding expectedrates of return are r¯1 and r¯2; the corresponding variances and covariances areσ12, σ22, and σ12. What percentages of total investment should be invested ineach of the two stocks to minimize the total variance of the rate of return ofthe resulting portfolio? What is the mean rate of return of this portfolio?The beta of an active portfolio is 1.45. The standard deviation of the returns on the market inde is 22%. The nonsystematic variance of the active portfolio is 3%. The standard deviation of the returns on the active portfolio is a) 36.30%. b) 5.84%. c) 19.60%. d) 24.17%. e) 26.0%.
- Mr Phiri has K10,000 in his account. He is considering investing in a project which has 70 % probability of earning a profit of K10,000 and a 30% probability of incurring a loss of K10,000. His utility at the moment is 20 utiles with the current K10,000. With K20, 000 his utility would be 25 utiles and with K0 his utility would be zero.a) What is the expected profit of the project? b) What is the expected marginal utility of the project? Is Mr Phiri likely to invest in the project? Mr Sinkala also has K10,000 from which he derives 20 utiles. However, Mr Phiri derives 15 utiles from the profit of K10,000.c) What is the expected marginal utility for Mr Sinkala? d) How can you describe Mr Phiri and Mr Sinkala in terms of their attitude towards risk?Mr Phiri has K10,000 in his account. He is considering investing in a project which has 70 % probability of earning a profit of K10,000 and a 30% probability of incurring a loss of K10,000. His utility at the moment is 20 utiles with the current K10,000. With K20, 000 his utility would be 25 utiles and with K0 his utility would be zero. a) What is the expected profit of the project? b) What is the expected marginal utility of the project? Is Mr Phiri likely to invest in the project? Mr Sinkala also has K10,000 from which he derives 20 utiles. However, Mr Phiri derives 15 utiles from the profit of K10,000. c) What is the expected marginal utility for Mr Sinkala? d) How can you describe Mr Phiri and Mr Sinkala in terms of their attitude towards risk?RISK ANALYSIS A financial investor builds a portfolio that is worth an expected £35mil. The investor knows that his analysts can build a model to boost the potential return from the portfolio investment. The additional return has a Normal Distribution with mean £3mil and standard deviation £0.5mil. The investor wishes to sell his financial services at a price that guarantees his expected profit will be 5% of the total return from the portfolio. What should the price of his financial service be? Simulate (with a min of 200 repetitions) the average and the standard deviation of the profit the financial advisor realizes when setting the price for his services between 1% and 10% of the total expected return from the portfolio. Then discuss your findings.
- hello so i got a question from my teacher and wanna make sure its correct: A financial investor builds a portfolio that is worth an expected £35mil. The investor knows that his analysts can build a model to boost the potential return from the portfolio investment. The additional return has a Normal Distribution with mean £3mil and standard deviation £0.5mil. The investor wishes to sell his financial services at a price that guarantees his expected profit will be 5% of the total return from the portfolio. 1)What should the price of his financial service be? 2) Simulate (with a min of 200 repetitions) the average and the standard deviation of the profit the financial advisor realizes when setting the price for his services between 1% and 10% of the total expected return from the portfolio. Then discuss your findings. 3)Now assume the financial advisor knows that another advisor will offer a competitive portfolio. Based on historical data, he knows this competitive portfolio’s total…Consider an investment that pays off $700 or $1,600 per $1,000 invested with equal probability. Suppose you have $1,000 but are willing to borrow to increase your expected return. What would happen to the expected value and standard deviation of the investment if you borrowed an additional $1,000 and invested a total of $2,000? What if you borrowed $2,000 to invest a total of $3,000? Instructions: Fill in the table below to answer the questions above. Enter your responses as whole numbers and enter percentage values as percentages not decimals (.e., 20% not 0.20). Enter a negative sign (-) to indicate a negative number if necessary. Invest $1,000 Invest $2,000 Invest $3,000 Expected Value Percent Increase Standard Deviation 1150 S 28 % $ 8 % $ Expected Return N/A Doubled Tripled : #An investment plan allows investors to deposit a minimum of £1,000 at the beginning of the term, which pays a fixed return rate of 5% per annum. Af- ter a year, investors have to deposit a minimum of £800 with an expected return rate of 3% per annum for the second year and a standard deviation of 2% per annum. a. Find the expected value of the total minimum amount earned after two years of investment. b. Find the standard deviation of the total minimum amount earned after two years of investment.