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Consider the following model of demand for insurance (identical to that studied in class). Risk-averse individuals maximize expected utility of wealth where wealth is random due to a loss L, that occurs with probability π. Insurance carries a premium, P = p · I, where p is the price per dollar of insurance and I is the dollar amount of insurance purchased. Full insurance implies I = L while a deductible implies I < L. Please answer the following: (a) It is assumed that insurance companies operate in a perfectly competitive market. What does that imply for their profits? What does that imply for the value of the insurance premium P? (b) Let wealth in the no-loss state be denoted W1 while wealth in the loss state is denoted W2. What is the rate at which agents can transfer wealth between the loss and the no-loss state via the purchase of insurance? (c) What is the slope of individuals’ indifference curves, i.e. what is the rate at which agents are willing to transfer wealth between the loss and the no-loss state? (Yet another way to put the same question: What is the individuals’ marginal rate of substitution between wealth in the two states of the world?) (d) Show that, in this scenario, individuals will choose to purchase full insurance against the loss. (e) Illustrate your results for parts (a)-(d) in a graph in the (W1, W2)-space.
An investment advisor has shown you two investments. Which investment would you recommend and why. Submit using a spreadsheet. Bond: Coupon bond with a face value of $50,000 that can be purchased today for $48,000 that matures in 5 years. Its annual ..
Let’s say you plan to retire 40 years from now, and you decide you could live on $40,000 per year if you retired today. If the inflation rate is 3% between now and your retirement date, how much money per year would you need to have saved?
Explain why if there is no formal or informal collusion in an oligopoly market firms are more likely to match a price cut by an individual firm than they are to match a price increase? If firms in an oligopoly do indeed behave in this way (matching..
The inflation-free rate (real rate) is 2.3% per year and the inflation rate is 2.03% per year. The effective interest rate (market rate) is therefore
A sum of $25,000 is deposited into a savings account, which pays a yearly nominal 8% interest compounded semiannually. Equal annual withdrawals are to be made from the account, beginning 1 year from now and continuing forever. The maximum amount that..
Illustrate what is an opportunity cost. Elucidate how does the idea relate to the definition of economics.
EPA issued 30 tons of permits to two different utilities. If the utilities had been truthful about what it cost them to mitigate a ton of pollution and EPA had been able to make the marginal benefits and marginal cost equal (balanced). what would the..
What are the advantages and disadvantages of each method. What do you suppose led each company to make their choices.
The annual maintenance cost is estimated to be $100K. A major renovation at a cost of $50M is required every 100 years. What is the capitalized cost of the bridge at an interest rate of 5%?
How many people should the owner hire if he pays each worker $6/hour? c. Suppose he considers hiring students on a part-time basis for $4/hour.
A monopoly is considering selling several units of a homogeneous product as a single package. A typical consumer’s demand for the product is Qd = 40 - 0.5P, and the marginal cost of production is $50. Determine the optimal number of units to put in a..
The gross domestic product (GDP) of the United States is defined as the ---------------, all --------------, ----------------- in a given period of time. Rajiv's employer as deigned him to provide consulting services to an Australian firm that's open..
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