Consider an economy with three assets and two dates (t-0,1) and three states at t=1. Let12 3(1.4X =| 214p=|1.8131P3be the matrix of asset payoffs at t=1 and p the vector of asset prices at t=0.Suppose p3=2.(a)Is there an arbitrage?(b)If yes, find anage portfolio.Suppose p3=1.2.(c)Does an arbitrage portfolio exist?you create a portfolio with payoff of (120, 190, 220) at t=1 and what is the t=0price of such a portfolio?(d)Can(e)Determine the (implicit) risk free rate in this economy

Arbitrage is the concurrent buy and offer of similar resources in various business sectors to…

Answered: Consider an economy with three assets…

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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Hi there, I need help solving a problem and am unsure how to go about solving the question. It is a practive question from a textbook and am trying to understand it further. I need a bit more help solving 1 a) and b). I have already obtained the values of the expected return at t = 0 and the expected utilities at t = 0 for both scenarios (direct investing) and (depositing with the bank). Thanks Here is the question: Consider the basic setup of the Diamond-Dybvig (1983) model. Specifically, thereare three periods, denoted t = 0, 1, 2, a single consumption good, and an illiquidinvestment opportunity that pays gross return 1.1 if liquidated at t = 1, or grossreturn 2.2 if liquidated at t = 2. There are 30 people in the economy, each endowed with 1 unit of the consumptiongood at t = 0. At t = 1, exactly 11 will randomly realize that they need to consumeat t = 1 (the early consumers), the remaining 19 people will need to consume at t = 2(the late consumers). The utility derived from…
Suppose that there is a 45 percent change that George's coffee shop will make $10000 in profits in January and a 45 percent chance it will make 0 profits and a 10 percent chance that it will make -$1000 in profits (i.e., it will lose $1000). Calculate the coffee shop's expected profits
Note:hand written solution should be avoided.
Suppose you observe that short-term interest rates are higher than long-term interest rates. a. What expectations must people have regarding future interest rates? b. Why might the above relationship signal a recession? Why might it not? c. What will the yield curve for this problem look like? Q4 Why is the fact that stock prices follow a random walk a signal of stock market efficiency? What would have to be true if stock prices did not follow a random walk?
Question 5 (5.5 points): Hedge May 20th: Producer plans to sell corn in early November. Currently the December corn futures are trading at $4.33. The expected basis is -$0.36. • Does the producer have a long or short cash position? (buy/sell) Dec corn futures at $4.33/bu. Nov. 10th: To hedge: The producer will What is the expected price? • The producer must (buy/sell) corn locally in the cash market at • • $4.18/bu. To offset their future position, they must $4.67/bu. What is the actual basis? What is the realized price for the producer? ○ Method 1: Method 2: о The hedge resulted in a realized price of (buy/sell) Dec futures at
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A firm goes to the markets to raise capital. The investor can either invest V₁ on the firm or buy government bonds. If she invests, the expected value of the dividend she receives the following period is Et[Dt+1]. Where Et[] denotes the mathematical expectation, taken at time, t. If she buys a government bond, and receive a gross return (1 + r) for sure. 1. Let Et [Vt+1] denote the expected value of the stock the following period, explain why this is not the only return that the investor can expect from owning the stock. 2. Write down an expression for the gross return on the stock. [Hint: This is a ratio.] 3. Suppose investor's objective is to maximize their expected return. If the return from bonds is higher than the expected return from stocks, will they buy stocks or bonds? How about the other way around? 4. Since investors hold both stocks and bonds, what must be true about the expected return of stocks and bonds in equilibrium? Show that this implies the following no arbitrage…
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Consider an economy with three assets and two dates (t-0,1) and three states at t=1. Let [1 2 3 (1.4 X =| 2 4 p =|1.8 |1 3 1 P3 be the matrix of asset payoffs at t=1 and p the vector of asset prices at t=0. Suppose p;=2. (a) Is there an arbitrage? (b) If yes, find an arbitrage portfolio.