Consider an agent whose behavior is best described by prospect theory with loss aversion. Calculate the value of the following prospect for the agent with value function v(x;): , if z; 2 0; 1.5z; , if r; < 0, and initial wealth w = 1000. Payoff Probability 248 -248 20% 70% 10%
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- An individual's preferences can be expressed by the utility function U(w) = ws Knowing that the individual's net wealth (he can still borrow if necessary) is zero, what is the maximum price he would be willing to pay for a game of chance that offered $12 with 77% likelihood and $5 otherwise? O A. The most he would pay is $0.00. O B. The most he would pay is $2.50. O C. The most he would pay is $10.00. O D. The most he would pay is $5.00.1. ABC inc. stock is currently selling for $30, one year from today the stock price can either increase by 20% or decrease by 15%. The probability of an increase in the stock price is equal to 0.3. The one-year risk-free rate is 5% What is the value of a European put that expires in one year with an exercise price of $24. 2. Graphically, show the value and the profit and loss of the following butterfly position: Long in a call with an exercise price of $30, short in 2 calls with an exercise price of $45, and long in a call with an exercise price of 60. All calls are written on the same stock and have the same maturity. 3. "Early exercise of an American option on a stock that does not pay any dividend is not optimal regardless of whether the option is a Call or a Put". True, False, or Uncertain. Explain.Derive the value of k that minimizes the variable. expectation E[(X-k)²], where X is a random
- NWP Assessment Player Ul Appl X ples om/was/ui/v2/assessment-player/index.html?launchid=55af9b11-006e-41ba-a782-378cb68e49ba#/question/0 Question 1 of 2 Click here to access the TVM Factor Table Calculator + The cash flow profile for an investment is given below and the interest rate is 8% compounded annually. EOY Net Cash Flow ($) 0 1 2 3 4 5 6 -100 200 Find the present worth of this series using the actual cash flows. $ Round your answer to the nearest dollar. Tolerance is ±4. e Textbook and Media Attempts: 0 of 3 used -/1 Submit Ar1 Events X and Y are such that P(x)=0.35 and P(x or y)=0.80. Given that X and Y are independent and non‐mutually exclusive, determine p(y). Give your finalanswer as a percentage to two decimal places.Suppose a neighborhood grocery store buys 5 containers of skim milk at the wholesale price of $11 per container and sells it for $22 per container. After the expiration date, unsold milk is removed from the shelves and the grocer receives a credit from the distributor equal to three-fourths of the wholesale price. If the probability distribution of the variable is X and the number of containers sold from this lot is x f(x) 0 1/15 1 2/15 2 2/15 3 3/15 4 4/15 5 3/15 Calculate the expected utility. (Round to two decimal places)
- Possible values of X, the number of components in a system submitted for repair that must be replaced, are 1, 2, 3, and 4 with corresponding probabilities 0.35, 0.15, 0.35, and 0.15, respectively. (a) Calculate E(X) and then E(5 - X). E(X) E(5-X) = (b) Would the repair facility be better off charging a flat fee of $70 or else the amount $ 150 (5-X) The repair facility ---Select--- be better off charging a flat fee of $70 because E ]= 150 (5-X)] ? Note: It is not generally true that : E ( =) = E(Y)You invest your life's savings in 5 different hedge fund companies, each of which invests your money in 10 different in-house funds. You realize that this type of investing is risky, but you want the maximum long-term growth rate. After one year, the results are as listed in the table. Are the hedge fund companies equally good, or are there statistically significant differences between them? 12 3 4 Company Average Return (%) 8.4 6.2 6.7 14.7 12.6 Standard Deviation (%) 2.55.3 1.3 2.5 5.8 5 SSE number (rtol=0.01, atol=0.0001) SSTT number (rtol=0.01, atol=0.0001) F number (rtol=0.01, atol=0.0001) Pval number (rtol=0.01, atol=0.0001) State your decision at significant level 0.1. O (a) Cannot Reject HO O (b) Reject HO6