How much can you own of an asset with 40% annualized volatility and Normal returns? Options A $1,703,273 B $5,871 C $93,200 D $107,296

Suppose that you have the following utility function: U=E(r) – ½ Aσ2   and A=3  Suppose that you have $10 million to invest for one year and you want to invest that money into ETFs tracking the S&P 500 (US) and S&P/TSX 60 (Canada) index, which are often used as proxies for the US and Canadian stock markets, respectively, and the Canadian one-year T-bill. Assume that the interest rate of the one-year T-bill is 0.35% per annum.   You have found two ETFs that you are interested in. From a set of their historical data between 2001 and 2019, you have estimated the annual expected returns, standard deviations, and covariance as follows: ETFUS :  E(r)= 0.070584 0.173687 ETFCDA  :  E(r)= 0.073763                                     0.16816 Covariance between ETFUS and ETFCDA = 0.02397 Answer the following questions using Excel: What is the optimal portfolio of ETFUS  and ETFCDA? Also submit an Excel file to show your work.

You are considering a risky investment that you expect will either be worth 115,000 in 1 year, or 65,000, with probabilities of 0.65 and 0.35 for each outcome, respectively. You could invest in riskless T-bills at 0.058. If you invest in this risky investment, you would expect to earn a risk premium of 0.091 Given this information, what would you be willing to pay for this investment? 84,856 78,059 79,001 73,655 82,693

Consider a risky portfolio. The end-of-year cash flow derived from the portfolio will be either $150,000 or $290,000 with equal probabilities of 0.5. The alternative risk-free investment in T-bills pays 3% per year. Required: a. If you require a risk premium of 7%, how much will you be willing to pay for the portfolio? b. Suppose that the portfolio can be purchased for the amount you found in (a). What will be the expected rate of return on the portfolio? c. Now suppose that you require a risk premium of 12%. What price are you willing to pay? Complete this question by entering your answers in the tabs below. Required A Required B Required C If you require a risk premium of 8%, how much will you be willing to pay for the portfolio? Note: Do not round your intermediate calculations. Round your answer to the nearest whole dollar amount. Price Required A Required B >

Investors can allocate their wealth between (i) the risk-free asset, and (ii) one of the three risky assets as shown below. For example, 20% in risk-free and 80% in A, or 30% in risk-free and 70% in B, or 40% in risk- free and 60% in C, and so on. Risky Asset E(r) A B Stdev 20% 25% 30% 35% 40% 45% The risk-free rate is 5%. If investors target an expected annual return of 30%, what is the lowest stdev that can be achieved among all the possible allocations? Show your answer in % and round to two decimals (e.g. xx.xx%).

15. Consider the following possible returns over the next year on an asset.Return Probability–£40 0.5£40 0.5What is the standard deviation of return of the asset.