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- Assume the price of the Schwab Small-Cap index fund is $50 per share, the annual expected return is 18%, and the annual standard deviation is 0.24. Assume you have $10,000 of investment equity and you want to buy the Schwab Small-Cap fund on margin such that your total portfolio standard deviation is 0.30. Assume you can borrow at 8% annually. What is the portfolio weight in the Small-Cap index fund such that the standard deviation of your portfolio is 0.30? Group of answer choices: A) 1.25 B) .75 C) -.25 D) 11. Suppose you have a project that has a 0.4 chance of tripling your investment in a year and a 0.6 chance of doubling your investment in a year. What is the standard deviation of the rate of return on this investment? (Do not round intermediate calculations. Enter your answer as a decimal rounded to 4 places.) 2. The composition of the Fingroup Fund portfolio is as follows: Stock Shares Price A 200,000 $ 39 B 284,000 32 C 408,000 28 D 680,000 35 During the year the portfolio manager sells all of the holdings of stock D and replaces it with 200,000 shares of stock E at $50 per share and 230,000 shares of stock F at $60 per share. What is the portfolio turnover rate? (Round your answer to 1 decimal place.)A fund manager has a well-diversified portfolio that mirrors the performance of the S&P 500and is worth $240 million. The value of the S&P 500 is 4,800, and the portfolio manager wouldlike to obtain insurance against a reduction of more than 3% in the value of the portfolio over thenext four months. The risk-free interest rate is 6% per annum. The dividend yield on both theportfolio and the S&P 500 is 4%, and the volatility of the index is 35% per annum. What amount(in dollars) of the portfolio should be sold and kept in risk-free securities for portfolio insurance?
- Assume that you manage a $12.00 million mutual fund that has a beta of 1.15 and a 9.70% required return. The risk-free rate is 2.20%. You now receive another $15 million, which you invest in stocks with an average beta of 1.05. What is the required rate of return on the new portfolio? Do not round your intermediate calculations.Suppose you have $375,000 in cash, and you decide to borrow another $63,750 at a 7% interest rate to invest in the stock market. You invest the entire $438,750 in a portfolio J with a 20% expected return and a 28% volatility. a. What is the expected return and volatility (standard deviation) of your investment? b. What is your realized return if J goes up 39% over the year? c. What return do you realize if J falls by 19% over the year?A company's fund manager has a P20,000,000 portfolio with a beta of 0.75. The risk-free rate is 4.50% and the market risk premium is 5.00%.The manager expects to receive an additional P30,000,000, which she plans to invest in several stocks. After investing the additional funds, she wants the fund's required return to be 9.50%. 1. What is the required rate of return on the initial P20M investment? 2. What is the rate of return of all risky and risk-free securities? 3. To achieve the fund manager’s required return target, the funds should be invested in an investment with a beta of 4. Judge the overall riskiness of the P50M portfolio A. Aggressive B. Neutral C. Conservative