A maximizing investor with preferences u(u, ơ) = 0.2µ – 0.50^2 will allocate a portfolio worth 4000 between a risk free asset with a return of 4 percent and the market asset with a return of 20 percent and risk of 4 percent. How many dollars should be invested in the market asset?
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- Imagine that you are a completely risk indifferent investor. A client would like topay you and gives you two options how they would be willing to pay.1. An immediate payment of $50,0002. A monthly payment of $3,000 over the next four years.You believe that the interest rate over the next four years will be 6%. Whichoption do you prefer? One of your advisors thinks that it will be rather 8%, whileanother one calculates it in a more conservative way and expects rather 4%.Would following one of them change your decision? In which way?1. Tanner is choosing between two investment options. He can invest $500 now and get (guaranteed) $550 in one year, or invest $500 now and get (guaranteed) $531.40 back later today. The risk-free rate is 3.5%. Which investment should Tanner prefer? A) $531.40 later today, since $1 today is worth more than $1 in one year. B) $550 in one year, since it is $50 more than he invested rather than $31.40 more than he invested. C) Neither - both investments have a negative NPV. D) Tanner should be indifferent between the two investments, since both are equivalent to the same amount of cash today.Sam, after taking a $200 loan from the bank to finance an investment that pays $1000 50% of the time and $0 50% of the time at a 100% interest, discovers another riskier investment that pays out $5,000 but only 10% of the time, while the other 90% of the time it pays zero. Would the he want to switch to the riskier investment? Question 4 options: Yes because his return has increased No because his liability to the bank has increased No because his return has decreased None of the above
- 3b. By investing in a particular stock, Mullins can in one year make a profit of $5000 with a probability 0.4 or lose $5000 with probability of 0.6. What is Mullins expected gain?ANSWER E PLEASE ONLY Consider the following portfolio choice problem. The investor has initial wealth w andutility u(x) = (x^n) / n. There is a safe asset (such as a US government bond) that has netreal return of zero. There is also a risky asset with a random net return that has onlytwo possible returns, R1 with probability 1 − q and R0 with probability q. We assumeR1 < 0, R0 > 0. Let A be the amount invested in the risky asset, so that w − A isinvested in the safe asset.a) What are risk preferences of this investor, are they risk-averse, riskneutral or risk-loving?b) Find A as a function of w. c) Does the investor put more or less of his portfolio into the risky assetas his wealth increases? d) Now find the share of wealth, α, invested in the risky asset. How doesα change with wealth? e) Calculate relative risk aversion for this investor. How does relativerisk aversion depend on wealth?Calculate the value of a stock that is expected to pay a constant dividend of $1.05per year if the required return is 11%.
- Please expalin the right answer A 10-year, annual payment corporate coupon bond has an expected return of 11 percent and a required return of 10 percent. The bond's market price is: A) greater than its present value. B) less than par. C) less than its expected rate or return. D) less than its present value. E) $1,000.00.5. Find the expected value assuming the risk factor is 30 % and the interest rate is 12% , if you will receive $20,000 one year from today.Submit All Question 28 of 30 Suppose Jon decides to purchase either a long-term Treasury bond or a share of stock from a company in the Dow Jones Industrial Average. Assume that either one will behave similarly to the average security in their class, and ignore the effect of market conditions. Which security is more likely to lose most of its value in the next year after Jon purchases it? O the probabilities of major loss are the same they are both guaranteed to increase in value the stock the bond Based on historical returns, which security is likely to grow more significantly in value after Jon purchases it? the bond 8:27 PM a 46°F E 4) 12/15/202
- Please explain in detail about expected utility to get a positive upvote. An individual has a utility function U = W¼, where W is her total wealth. She has one safe asset worth Rs 5,000, and another risky asset whose value can be either Rs 5,000 or Rs 1,400 with equal probabilities. What is her expected utility? (a) Rs 11,400 (b) Rs 100 aw lo boeoqmoo vmonoos to on g cubire cou s o iva alagos ad a adWnooni lanou lo OAuti (c) Rs 2,580 (d) Rs 903) A risk-loving individual has $1000 to invest. The individual maximizes his/her expected utility and has a monotonic utility function. Show that he/she will never choose a diversified portfolio - that is, show that he/she will either keep the entire $1000 in a safe, or invest the entire $1000 in a risky assesst, for which each $1 invested yields $] with probability p, and SB with probability (1-p), where $B<$1<$J.TRUE OR FALSE: No need of long exlain 1. The longer the time before the revenues are received, the higher is the net present value of those revenues. 2. The more uncertain the future, the lower should be the discount factor in evaluating an investment. 3. In evaluating an investment, we do not discount the cost regardless of when the cost is incurred.