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with MEC= 10. Suppose the time horizon is 2 periods. The resource stock, S is finite and
= 50 units.
a. If interest rates are 60%, how much should be extracted in each period?
b. What would the prediction be on how much should be extracted in each period if
interest rates fell to 0%?
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- A5A university student recieved $1,000 upon graduation at age 20 years. This person washired by one of the largest global petrochemical companies soon after graduation withan expected annual income of $250. Assume that the retirement age is 65 years andlife expectancy is 85 years in the country in which the student resides. Given that thiscountry has zero real interest rate and consumption smoothing is optimal for allindividuals:a. Derive an expression for the person’s average propensity to consume.b. State in one sentence how the consumption puzzle is addressedSuppose there is a nonrenewable resource with inverse demand function p= 20- 2q and with MEC= 10. Suppose the time horizon is 2 periods. The resource stock, S is finite and = 50 units.a. If interest rates are 60%, how much should be extracted in each period?
- 1. Is scarcity of nonrenewable resources a major problem? What kinds of physical and economic measures are relevant to understanding this issue, and in what ways can some of the measures be misleading? What do you think are the main issues relating to nonrenewable use? 2. Do you expect mineral prices to continue to increase, as shown in Figure 11.4? Which factors do you think will determine future mineral prices?If long-term property rights of an oil well cannot be guaranteed, how will the extraction rate from the well differ from the efficient extraction rate?3. Consider a dynamic (two-period) representative firm's problem. This representative firm is given K unit of capital to produce in the current period. Firm can choose (current-period and future-period) labor demands and investment (to adjust future- period's capital stock) to maximize its present-value lifetime profit. Given that the market interest rate is r and the capital depreciation rate is & after production in each period. Let's further assume that this firm sells all the capital after future-period production. (a) Clearly definite the profit functions for both periods and write down this repre- sentative firm's problem. (b) Write down the optimal condition on investment. Intuitively explain the optimal condition. (c) Suppose K increases, graph the change of investment curve. Intuitively explain the changes on the graph you just drew.
- Suppose the market demand curve for a non-renewable resource is given by: Q=2000-40P. Consider a finite-period model. Which of the following are true? Suppose the marginal cost of extraction is constantly at 40. Suppose the risk-free interest rate is 10% Select all correct answers. a. When there is plenty of this resource, the marginal user cost can be zero in all periods on the optimal extraction path. b. If marginal user cost is 2 in a given period on the optimal path, the marginal user cost should be 2.2 in the previous period c. The dynamically efficient extraction quantity is 400 per period until the resource is exhausted. d. When 200 units are exhausted in a given period, the marginal user cost is 5.plz type fast1. Consider a household in the two-period consumption-savings model with well-behaved preferences over period-1 and -2 consumption given by u(c1,c2). Suppose that interest income in period 2 is taxed at a constant rate of T;. Assuming no initial endowment of wealth, Ao = 0, and the terminal condition A2 = 0, the household has the following nominal lifetime budget constraint: %3D P2c2 Y2 Pịci + = Y1 + (1+i(1 – Ti)) (1+i(1 – T;)) (a) Using indifference curve analysis, graphically locate the optimal choice (cj, cž). Label slopes and intercepts on your graph. (b) Write down the household's intertemporal optimality condition in terms of the gen- eral utility function. (c) In the United States, interest income received by households is taxed at a positive rate (i.e. T; > 0) while interest income paid by households is not taxed (i.e. Tị = 0). Suppose legislators propose complete elimination of this tax. Use economic logic and your answer from part (b) to explain how this policy change would…
- Forecasts for Sa’s economic growth rate have been droppingconsistently in 2023, from 1.2% year on year at the start of thefirst quarter to 0.7% in March, 0.6% in April and now 0.4% inthe outcome of the May survey (all Bloomberg).A more recent survey from Reuters in May places the outlookfor economic growth even lower, at 0.2% for 2023.Market perceptions of the global outlook have also dimmed, withChina’s economic recovery proving weaker than anticipatedafter its 2022 lockdowns, as recent production data disappoints,including that on household spending, investment and tradeactivity.Global trade defragmentation is also weakening sentiment, withrisks of limitations on trade competitiveness growing. Theseconcerns, along with US recession fears and disappointment overChina’s ability to lead the global economy stronger in 2023, haveweakened sentiment, reflecting in the recent fall in oil prices.Markets had expected a ramp-up in economic activity in Chinain the second quarter, but has also…ở Quiz 2- (15%)-(Unit 6 and 7) (page 15 of 30) - Google Chrome A 2021.tle.courses.open.uwi.edu/mod/quiz/attempt.php?attempt=53700&cmid%=D40672&page=14 The Learning Exchange 2021 ECON2003 - Intermediate Macro Economics || | S2 21/22 Quiz navigation Time left 0:54:27 |1 || 2 || 3I 4 || 5 ||6 78 Question 15 When is a country said to move into a recession? Not yet 9 10 11 12 13 14 15 16 answered a. If actual output falls below the potential level of output. 17 18 19 20 21 22 23 24 Marked out of O b. If actual output falls. 0.50 25 26 27 28 29 30 O. If actual output falls for two consecutive quarters of a year. - Remove fiag O d. If actual output falls below the trend level of output. Finish attempt . Previous page Next page Reset user tour on this page 11:20 am P Type here to search 28°C 20/04/2022 近2. General Equilibrium. consumers, each with the same Cobb-Douglas preferences except with differ- ent parameters. Consumer 1 has utility function u(x, x)= (x})"(x})!-«, while Consumer 2 has utility function u(x, x;) = (xP(x)-P. The endowment of good j owned by consumer i is denoted w. The price of good 1 is p, and the price of good 2 is 1. In the superscript, we denoted the consumer i = 1,2; in the subscript, we denote the good j= 1,2. Consider an exchange economy with two Write the maximisation problem faced by each consumer i = (a) 1,2, taking care to define the objective function and the budget constraint. Set up the Lagrangian and find the first order conditions. (b) For each consumer i = 1,2 , use the first-order conditions to determine the demand functions for each consumer i = 1,2 and for each good j = 1,2, in terms of the price p. (c) Find the aggregate demand for each good j = 1,2 and clear the markets for each good. Hence, show that the equilibrium price pi is given by the…
