An art dealer owns a painting worth $1,600,000, and this dealer has an expected utility function with u(x) = x0.5,. There is a 10% chance that the painting will be damaged and only worth $350,000. What is the most that this dealer would be willing to %3D pay for full insurance? O 168,510 O 166,910 O 165,849 O 162,110
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- Suppose Real Option Inc. has a product that generates the following cash flow. At t=1, the demand can be high or low. There is a probability of 0.6 that demand is high. If demand is high (low) the cash flow is CFH=400 (CFL=200). At t=2, the demand can also be high or low. If demand was high at t=1, then a high demand at t=2 arises with probability 0.7. If demand was low at t=1, then a high demand at t=2 arises with probability 0.2. If demand is high (low) at t=2 then CFH=400 (CFL=200). The interest rate for this project is 20%. (a) Draw the event and decision tree. (b) What is the market price (expected value) of Real Option Inc. at t=0? Now suppose Real Option Inc. can rent a platform to run a marketing campaign. For this purpose Real Option Inc. must sign a two year contract with the platform provider. The costs for using the platform are 180 per period. Marketing itself does not cost anything and has the following effect. In the high demand state, marketing doubles the demand. In…Angie owns an endive farm that will be worth $90,000 or $0 with equal probability. Her Bernouilli utility function is u(w) =√w, where w is her wealth level (sum of initial wealth and the worth of the endive farm). 1. Suppose her firm is the only asset she has, that is, she has no initial wealth. What is the lowest price P at which she will agree to sell her endive farm before she knows how much it will be worth? 2. Redo part (1) assuming that she has $160,000 in her bank safe. 3. Compare and discuss your results in parts (1) and (2). What relationship can you find between Angie’s initial wealth level (zero versus $160,000) and her risk aversion?You are in the market for a used car. At a used carlot, you know that the Blue Book value of the car youare looking at is between $15,000 and $19,000. Ifyou believe the dealer knows as much about the caras you do, how much are you willing to pay? Why?Assume that you care only about the expected valueof the car you will buy and that the car values aresymmetrically distributed.23. Refer to Problem 22. Now you believe the dealerknows more about the car than you do. How muchare you willing to pay? Why? How can this asymmetric information problem be resolved in a competitivemarket?
- 2. Consider an individual with a current wealth of $100,000 who faces the prospect of a 25% chance of losing $20,000 through theft of her car during the next year. If the person’s utility function is U(X) = ln(X), where X is wealth: a. calculate expected utility without insurance, b. calculate the actuarially fair premium for full insurance, c. calculate expected utility with full insurance at the actuarially fair premium d. calculate the maximum amount the individual would pay for full insurance.Assume that you will earn $90,000 next year. The probability of having an accident in a year is 0.05 and your income will be $22,500 in that case. Your utility function is U(C)= C1/2 where C is consumption. a) What is your expected utility at the end of the year without insurance?b) Calculate an actuarially fair insurance premium for the full insurance. c) What would your expected utility be if you purchase a full insurance with actuarially fair premium? Will you buy this insurance, why or why not?Consider a certain butterfly spread on IBM: this is a portfolio that is long one call at $250, long one call at $270, and short 2 calls at $260. Assume expiration of all options is at the same time $T=2$. If today the calls cost $10.00, $5.00, and $1.00 for the strikes at 250, 260, and 270, respectively, what will be the profit or loss from buying this spread if the stock turns out to be trading at $255 at time $T$? Assume the risk-free rate is 5%. Select one: a. 3.28 b. 3.01 c. 4.09 d. 3.89
- Assume that the probability of having an accident in a year is 0.08. Suppose that your yearly income is 50,000 TRY and in case of an accident your income drops to 15,000 TRY. Your utility function is U(?) = ln (?) where C is consumption. a) What is your expected utility at the end of the year without insurance?b) Calculate an actuarially fair insurance premium for the full insurance. c) What would your expected utility be if you purchase a full insurance with actuarially fair premium? Will you buy this insurance, why or why not?Are derivatives similar to insurance in that both have an indefinite life spans, allow for the transfer of risk from one party to another or allow for the transformation of the underlying risk itself? First explain why one or more of the options above are correct. Secondly explain why, if any of the remaining options are incorrect. Your justification/s should be one sentence for each of the points above, in bullet point format.Q. 4 Suppose you, owner and CEO of a corporation, are considering a $25 million project that constructs a building in the downtown area of Toronto. The current market price of the similar building is about $20 million. The future price is uncertain. It may be either $28 million or $22 million in one year from now, depending on the economic situation. The company can borrow at a risk-free rate of 5 percent per year. What is the value of this project? Use a binomial model to value this real option.
- Suppose we have 2 countries: Home and Foregin. Each has one asset: a banana tree. The bananas go bad after every month, so they cannot be saved. The prouction is as follows: {Home, Foreign} {200, 100} with probability 1/4. {100, 150} with probablity 3/4. A) What would be the expected yield for each country without trade? B) Countries can now trade shares of stock of any size. How much Foreign stocks will Home buy? How much stocks will Home trade in return?Prospect Y = ($6, 0.25 ; $15, 0.75) If Will's utility of wealth function is given by u(x)=x0.25, what is the value of CE(Y) for Will? (In other words, what is Will's certainty equivalent for prospect Y?) (The certainty equivalent represents the maximum amount a person would be willing to pay to acquire a risky prospect, and equivalently, the lowest price for which they would be willing to sell a risky prospect if they already owned it) (Note: The answer may not be a whole number; please round to the nearest hundredth) (Note: The numbers may change between questions, so read carefully)What is the difference if any between an individual gambling at a casino and gambling by buying a stock? What is the difference for society? For an individual, gambling at a casino or by buying a stock A. is the same because they have the same expected values. B. is the same insofar that both involve uncertain outcomes C. different because the expected value of gambling in a casino is higher. 2. For society, gambling at a casino or by buying a stock A. is the same because neither redistribute income. B. is different because buying a stock more directly provides capital for companies to make productive investments. C. is the same because both have no effect on the budget deficit.