You currently have 50% of your wealth invested in a risk-free asset and 50% in the four assets below Asset i 1 2 3 4 Expected Return on Asset i (%) 7.6 12.4 15.6 18.8 0.2 0.8 Bi 21.3 1.6 Percentage invested in Asset i (%) 10 10 10 20 If you want an expected rate of return of 12%, you can obtain it by selling some of your holdings of the risk-free asset and using the proceeds to buy the equally weighted market portfolio. If this is the way you decide to revise your portfolio, what will the rest of weights in your portfolio be? If you hold only the risk-free asset and the market portfolio, what set of weights would give you an expected return of 12%?

You currently have 50% of your wealth invested in a risk-free asset and 50% in the four assets below Asset i 1 2 3 4 Expected Return on Asset i (%) 7.6 12.4 15.6 18.8 0.2 0.8 Bi 21.3 1.6 Percentage invested in Asset i (%) 10 10 10 20 If you want an expected rate of return of 12%, you can obtain it by selling some of your holdings of the risk-free asset and using the proceeds to buy the equally weighted market portfolio. If this is the way you decide to revise your portfolio, what will the rest of weights in your portfolio be? If you hold only the risk-free asset and the market portfolio, what set of weights would give you an expected return of 12%?

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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4. Present value Finding a present value is the reverse of finding a future value. is the process of calculating the present value of a cash flow or a series of cash flows to be received in the future. Which of the following investments that pay will $10,500 in 13 years will have a lower price today? O The security that earns an interest rate of 21.75%. O The security that earns an interest rate of 14.50%. Eric wants to invest in government securities that promise to pay $1,000 at maturity. The opportunity cost (interest rate) of holding the security is 13.80%. Assuming that both investments have equal risk and Eric's investment time horizon is flexible, which of the following investment options will exhibit the lower price? O An investment that matures in three years An investment that matures in four years Which of the following is true about present value calculations? O Other things remaining equal, the present value of a future cash flow increases if the investment time period…
Consider the case of two financial assets and three market conditions (states). The tablebelow gives the respective probability for each market condition and the return of each assetin each one of them. Market Conditions State Recession Normal Expansion Probability of state 30% 40% 30% Return of asset A -30% 20% 55% Return of asset B -10% 70% 0% Consider the portfolio with 50% investment in each of the two assets above. Calculatethe expected return and the standard deviation of the portfolio.
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%).
Benefits of diversification. What is the expected return of investing in asset M alone?
You are going to allocate capital into safe and risky assets. The risky asset will earn 200% return if the economy is good (with a 55% chance). If, otherwise, it will lose 60% of the investment principal. States of Rate of Prob. nature Return According to the Kelly's criterion, how much do you have to allocate for the risky asset to maximize final wealth? (The safe asset earns zero return.) → (1) 35%; (2) 47%; (3) 59%; (4) 65%; 1 Good 55% 200% your |(5) 69%; (6) 75%; (7) 85%; (8) 97%; (9) 102%; (10) 114%; (11) 115%; Bad 45% -60%
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.
If you solve for what fraction of your wealth (y) you should invest in the risky asset and you get the answer of 1.4, what does this mean? Assume you can borrow at the risk free rate. a) That you should invest 100% of your wealth in the risky asset b) That you should invest 140% of your wealth in the risky asset by borrowing at the risk free rate c) That you should short 140% of the risky asset and invest in the risk free asset d) That you should invest somewhere between 100% and 140% of your wealth in the risky asset by borrowing at the risk free rate.
You want to create a portfolio equally as risky as the market, and you have $1,200,000 to invest. Consider the following information: Asset Stock A Stock B Stock C Risk-free asset What is the investment in Stock C? Investment Investment $300,000 $ 240,000 Investment Beta 0.70 1.10 1.50 What is the investment in risk-free asset?
ll.

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