Q: Suppose an investor invests her money in three different assets-lands, bonds and stocks- and three possible states can occur. The return matrix of these three assets by states is as follows: (1.05 1.52 1.37 0.90 1.20 1.10 \1.02 1.24 1.16. Do state prices exist? Is there an arbitrage portfolio? If yes, give one example. If no, explain why

Q: Suppose an investor invests her money in three different assets-lands, bonds and stocks- and three possible states can occur. The return matrix of these three assets by states is as follows: (1.05 1.52 1.37 0.90 1.20 1.10 \1.02 1.24 1.16. Do state prices exist? Is there an arbitrage portfolio? If yes, give one example. If no, explain why

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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Suppose that we can describe the world using two states and that two assets are available, asset X an asset Y. We assume the asset’s future prices have the following distribution State Future Price Asset X Future Price Asset Y 1 $25 $50 2 $20 $40 The values of the unit claims implied by these assets are such that: A. C1 and C2 cannot be determined B. C1=1 and C2=1 C. C1=1, but we cannot determine C2 D. C1=5/4 and C2=5/4
What are the differences between stocks and bonds in terms of predicted future payments? Which sort of investment is regarded to be riskier (stocks or bonds)? Given your knowledge, which investment (stocks or bonds) do you believe is often referred to as "fixed income"?
. Suppose interest rates are increasing enough that it can be modeled with r →∞.(a) What is the value of a Call?(b) What is the value of a Put?(c) Explain both answers in terms of finance.
3. Suppose the market is wild; it is modeled by o → (a) What is the value of a Call? (b) What is the value of a Put? (c) Explain both answers in terms of finance.
Identify the one true statement. a. The B/C method determines the ratio of the present worth of benefits to the negative of the future worth of the investments. b. The CW method determines the present worth using a finite planning horizon. c. The IRR method determines the interest rate that yields a future worth of zero. d. The ERR method determines the interest rate that yields a present worth of zero.
What does WRF = -0.50 mean? Group of answer choices The investor can borrow money at the risk-free rate. The investor can lend money at the current market rate. The investor can borrow money at the current market rate. The investor can borrow money at the prime rate of interest. The investor can lend money at the prime rate of interest.
Question 1: a. The risk structure of interest rates and the term structure of interest rates are identical. True or False? Explain. b. The yield curve is a forecasting tool for inflation, the business cycle, and monetary policy. True or False? Explain.
The slope of the Security Market Line equals to ____, and the slope of Capital Allocation Line equals to____. Select one: A. Beta; Sharpe Ratio B. Market Risk Premium; Sharpe Ratio C. Risk free rate; Volatility D. Market Risk Premium; Volatility
1) Please indicate whether the following statements are true or false. In case of a false statement, briefly specify why the statement is false. 1. A real asset is different from a financial asset because a real asset must take a physical form. 2. In the financial market, an investor buys financial securities from dealers at the ask price and sells financial securities to dealers at the bid price. 3. Mankowitz portfolio theory assumes average investors have a utility function as an increasing and concave function of future portfolio return. 4. According to CAPM, all well-diversified portfolios on the capital market line have the same Sharpe ratio. 5. The Markowitz portfolio theory assumes that investors hold homogenous expectations about risk and returns of financial securities.
Figure 2 (a) Financial engineering deals with the design of new assets. Draw the payoff (at t=1) of the following butterfly spread: payoff of portfolio Purchase 1 call with exercise price a Sell 2 calls with exercise price (atb)/2 Purchase 1 call with exercise price b as a function of the underlying stock price S at t=1 where a=120 and b=140. (b) An individual agent thinks that there is a high probability that the Dow Jones will have a payoff (or points) between a=34,000 and b-36,000 at t=1. 1=nd Design a digital option (see Figure 1) as a sequence of calls on the Dow that converges to a pure bet on getting $1 on the interval [34,000, 36,000]. ie, if the Dow lies between SE[34,000, 36,000] at t=1, then the portfolio of calls pays off exactly $1. The payoff is 0 otherwise. a+8 Figure 1 (Digital option) payoff a=34,000 b-36,000 S. Hint: You have to modify the sell strategies of a butterfly spread to obtain a payoff as given in Figure 2 and then adjust n and 8 appropriately.
1. Fill the parts in the above table that are shaded in yellow. 2.Using the data generated in the previous question (Question 1) a. Plot the Security Market Line (SML) b. Superimpose the CAPM’s required return on the SML c.Indicate which investments will plot on, above and below the SML? d.
State the formulae you will need to compute the number of shares in a portfolio and the capital deposited in the bank at any time t, 0 ≤ t ≤ 1 in geometric Brownian motion

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