17. Suppose a risk-neutral power plant needs 10,000 tons of coal for its operations next month. It is uncertain about the future price of coal. Today it sells for $60 a ton but next month it could be $50 or $70 (with equal probability). How much would the power plant be willing to pay today for an option to buy a ton of coal next month at today's price? (Ignore discounting over the short period of a month.) а. 5 b. 4 с. 3 d. 0
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- 3. Consider a home energy storage (battery) system that can store up to 2 units of energy. At every time step, there is a demand for energy in the home which is drawn from 0,1,2 units with equal probability independent of the demands in the previous time steps. At every point in time, you have to satisfy the demand either by discharging the needed energy from the battery or purchasing power from the grid (or a combination of the two). You could also choose to purchase power from the grid to charge your battery. The grid energy price is either H(igh) or L(ow) according to a Markov chain (Price moves from H to L with probability p, and from L to H with probability q). (a) Model the decision making as an infinite horizon MDP where the objective is to minimize the discounted cost of energy purchased over an infinite horizon. (b) Write down a policy a of your choosing. Perform two steps of the operator T, for your policy, followed by one step of T..In the Southern Company Managerial Challenge, which alternative for complying with the Clean Air Act creates the greatest real option value? How exactly does that alternative save money? Why? Explain why installing a scrubber burns this option.2 Consider the two investments listed below with possible outcomes and probabilities: INVESTMENT (in $1000) SAFE RISKY INVESTMENT AMOUNTⓇ 40+ 40+ GOOD SCENARIO OUTCOME 45+ 80+ AVERAGE+ SCENARIO PROB OUTCOME 0.40* 0.40€ 42+ 45+ BAD+ SCENARIO PROB OUTCOME PROB 0.20 35+ 0.20 10+ 0.40€ 0.40+ b) a) Suppose I have utility function U(*) = (x)2. What is the expected utility from each investment? Which investment will I choose, if any? Show and explain your work and provide the intuition. c) What is the value of the risk premium for the SAFE investment? Show and explain your work and provide the intuition. d) What is the value of the risk premium for the RISKY investment? Show and explain your work and provide the intuition.< +
- 1. Jerry has wealth of $60 and derives utility from this according to the utility function U(w) = 1 - -, Where w is his wealth. Jerry now finds a lottery ticket (whose drawing is tomorrow) that offers a 50% chance of winning $5. (a) What is the expected value of the lottery ticket? (b) What is the minimum amount for which Jerry would be willing-to-sell the ticket? (c) Which is bigger, your answer to (a) or (b)? Use a clearly labelled diagram to explain why. (d) If he does not sell the ticket, what is Jerry's cost of risk?2 Scenario Your client, InsureCorp, is an insurance company considering launching an 'income insur- ance' product in the nation of Motherland. Income insurance is a product that fully insures a household against changes in income caused by a major injury or illness. At present, no businesses are selling income insurance products in Motherland. Initial market research suggests that there are 15,000 households in Motherland interested in purchasing income insurance. Your client expects that the fixed cost of launching the income insurance product will be $25,000,000 per year, and that each policy issued to a customer will cost the company an additional $2,000 in sales commissions. 2.1 Your task Your client wants you to analyse the potential market for income insurance and report on the following: What is the maximum price the company can charge a household for an income insurance policy? What is the expected profit (or loss) for the company if it becomes a monopoly provider of income…11:22 Fri 10 Dec VPN O 79% managebac-prod-china.s3.cn-north-1.amazonaws.com.cn A have all axes and curves clearly labeled and must show directional changes. If the question prompts you to "Calculate," you must show how you arrived at your final answer. Tandy's Art is the only art studio and workshop in a small remote town, and Tandy’s Art is the only employer of artists in the area. The graph below shows the market for artists with the marginal factor (resource) cost curve, the labor supply curve, and the marginal revenue product curve. Marginal Factor Cost Supply 28 22 20 16 10 Marginal Revenue Product 4 12 18 24 32 36 40 Quantity of Artists 48 60 80 16 (a) Identify the profit-maximizing number of artists that Tandy's Art will hire. Explain using the labeling on the graph. (b) Identify the profit-maximizing wage rate that Tandy's Art will pay its artists. Explain using the labeling on the graph. (c) If the wage rate is $10, state whether there will be a shortage or a surplus of…
- a-What are the five factors that affect an option's price? b-Discuss the impact of time to expiration on the option price by explaining to the graph below. Call pre Put price 10 OR69 12 15 18 21 24 27 30 3 24s 4 SI 54 57 6e Time te ration monthSuppose you are considering whether to purchase a house off of Lake Erie for $400,000. You expect thetotal costs of maintaining the property (utilities, repairs, etc.) to equal $15,000/year, and that you would be able togenerate $35,000/year in revenue if you were to put the house on the short term rental market.a. (3) Suppose you are deciding between purchasing the home or whether to invest $400,000 in an interest-bearingaccount. If your objective is to maximize your own net income, what would the interest rate have to equal for youto invest in the interest-bearing account?b. (4) Suppose you decide to buy the house, and now you have to decide whether/when to list the house on theshort term rental market (like Airbnb) or stay in the house yourself. Briefly explain what this decision woulddepend on. What are the implicit (opportunity) costs associated with renting the house to someone else on a givenday? What are the implicit costs associated with the staying in the house yourself?c.…6. Jerry plans to buy a new Bluetooth headset. He knows that the same product is offered in different shops with prices of $44, $49, and $60, and with odds of one-third of finding each price. He just stopped at a shop and knows that their price is $49. If the search cost is $1 per additional search, what should Jerry do?
- 3. Markland Manufacturing manufactures desk lamps intends to increase capacity by obtaining newequipment. Two vendors have presented proposals. The purchase cost for proposal A is $30,000,and for proposal B, $80,000. Each proposal will produce lamps of the same quality. Proposal Ais expected to produce lamps at $15.00/lamp, while proposal B is significantly more efficient andwill produce them at $10.00/lamp. The revenue generated by the sale of each lamp is $20.00/unit.a. Plot, on the same graph, the lines describing the potential revenue from each proposal.b. What is the break-even point in lamps for proposal A?c. What is the break-even point in lamps for proposal B?d. What is the point of indifference?e. The manufacturer expects to sell 12,000 lamps and has informed the vendors that it has chosen proposal B. The vendor of proposal A has offered to re-negotiate the purchase price of its proposal in order to win3. Further questions Now, imagine that Port Chester decides to crack down on motorists who park illegally by increasing the number of officers issuing parking tickets (thus, raising the probability of a ticket). If the cost of a ticket is $100, and the opportunity cost for the average driver of searching for parking is $12, which of the following probabilities would make the average person stop parking illegally? Assume that people will not park illegally if the expected value of doing so is negative. Check all that apply. 13% 21% 9% 10% Alternatively, the city could hold the number of officers constant and discourage parking violations by raising the fine for illegal parking. Suppose the average probability of getting caught for parking illegally is currently 10% citywide, and the average opportunity cost of parking is, again, $12. The fine that would make the average person indifferent between searching for parking and parking illegally is 5 park illegally if the expected value of…TeEpress Smartwork O Homework Smatwors Calege of hiness Onine b My Questions bartely ncia wwnorton.com/132454 Paused !!! Apps P Pandora ntenet Ra O Thesis Creator g Bockshelf Online L M McGra H- Login 9OF 12 QUESTIONS COMPLETED * SUBMIT ANSWER 751 AM P Type here to search