By next year, the stock you own has a 80% chance of being worth $1,000 and a 20% probability of being worth $100. What are the expected value and thevariance?The stock's expected value, EV, isEV=$(Enter a numeric response using a real number rounded to two decimal places)

Expected Value:An individual random variable takes a finite set of possible values. For example, a…

Answered: By next year, the stock you own has a…

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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Hugo has a concave ubility function of U(W)=√W. His only asset is shares in an Internet start-up company. Tomorrow he will learn the stock's value. He belleves that it is worth $225 with probability 80% and $256 with probability 20%. What is his expected utsty? What risk premium would he pay to avoid bearing this risk? The stock's expected utility (EU) is EU = (Enter a numeric response using a real number rounded to two decimal places.) han fro
An investor allocates $30,000 and $50,000 to two assets (A1 and A2). These assets generate 5% and -4.5% rate of returns, respectively. She allocates the remaining 50% of her portfolio to an asset (A3), which provides 4.5% rate of return. Calculate the portfolio's rate of return.
10. Which one of the following measures may be used to measure the risk of an investment on its own? a) Expected return of the investment. b) Expected utility of the investment for an investor. c) Standard deviation of the possible outcomes of the investment. d) The Bernoullian utility function's value of a good investment outcome.
INV 1 4c You have invested in a portfolio of 60% in risky assets (Portfolio R) and 40% in T-bills. The risky portfolio is described below: E(rR)=12% σR =15% If R is the optimal risky portfolio, and your degree of risk aversion is A=3, is your weighting between the T-bills and portfolio R optimal for you?
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
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.1) What are risk preferences of this investor, are they risk-averse, riskneutral or risk-loving?2) Find A as a function of w.
3
(Ch 7) Suppose a standard normal random variable has an 80 percent chance falling in an interval (–z, z). The value of z is approximately ____ (use Appendix C-1). a. 1.45 b. 1.35 c. 1.96 d. 1.28
You decide to invest in a portfolio consisting of 21 percent Stock X, 48 percent Stock Y, and the remainder in Stock Z. Based on the following information, what is the standard deviation of your portfolio? State of Economy Normal Boom Probability of State of Economy .84 .16 Return if Stat Stock X Stock Y 10.20% 3.60% 17.50% 25.50%

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By next year, the stock you own has a 80% chance of being worth $1,000 and a 20% probability of being worth $100. What are the expected value and the variance? The stock's expected value, EV, is EV=$(Enter a numeric response using a real number rounded to two decimal places)