In the Fisher two-period model, if the consumer is a saver, consumption in periods one and two are normal goods, and the income effect of an increase in interest rate is greater than the substitution effect, then saving: A) will increase. B. will decrease C. will not change. D. may either increase or decrease.
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- A consumer's consumption-utility function for a two period horizon is 0.5 U(Cg,G) =C,G" he consumer's earned income stream is given by mo, m1 and the market rate of interest is r. a) Write the intertemporal budget constraint in present value terms. If the consumer does not consume anything in peripd 0, what is the most she can consume in period 1? b) Draw a graph that shows optimal consumption in each period co* and c1*. What is the slope of her budget line? c) Solve the problem for optimal consumption in each period co* and c;*. d) Suppose mọ is S50 and mị is S110 and r = 0.1. Is the consumer a borrower or a lender? Show this outcome by drawing co*. C1*, mo, mį, and bond-holdings on your graph.Assume an intertemporal budget constraint that shows how consumption can be traded off between two periods, t and t+1. Assume the consumer can save and borrow at the same interest rate of 10%. Assume the consumer collects income of $100 in each period. To gain an extra $10 dollars in period t+1, what must the consumer give up in period t?Exercise 2 (The Saving Schedule). Consider a two-period economy populated by identical households with preferences defined over consumption in period 1, C1, and consumption in period 2, C,, and described by the utility function Assume that households are endowed with Y, kilos of apples in period 1 and with Y, kilos of apples in period 2. Let P, and P, denote the price of apples in periods 1 and 2. Households can save (or borrow) at the nominal interest rate i. Let r denote the real interest rate, so that the gross real interest rate is 1 +r = P, P, (1 + i). Let St denote saving in kilos of apples. 1. State the household's budget constraints in periods 1 and 2. 2. Derive the household's intertemporal budget constraint in terms of C1, C2, Y1, Y,, and r. 3. State the household's utility maximization problem. 4. Find the optimal level of consumption in period 1, C,, in period 2, C2, and the associated level of saving, S,. Express your answer in terms of Y,, Y,, and r. 5. Now assume that…
- 1) Sandeep consumes (c1, c2) and earns (m1, m2) in periods 1 and 2 respectively. Suppose that the interest rate is r. a) Write down Sandeep's intertemporal budget constraint in present value terms. b) If Sandeep does not consume anything in period 1, what is the most he can consume in period 2?Suppose that there are T periods to maximize over. Show that the intertemporal budget constraint is Ct+2 Yt+2 Yt+1 (1+r) (1+r)² (1 + r)² Ct + Ct+1 (1 + r) + 2+...+ Ct+T+1 (1+r)² \ T = Yt + + +...+ Yt+T+1 (1+r)Consider a two-period consumption saving model and let f1 and f2 denote the first and secondperiod consumption, respectively. Assume that the interest rate at which the consumer may lend or borrowis 10%. Suppose that a consumer’s utility function is x (f1> f2) = f1 + 20√f2= The consumer first periodincome is L1 = $100 and the present value of her income stream is $330=(a) What is the optimal consumption stream (consumption bundle) of this consumer?(b) Is this consumer borrower or lender? How much does she borrow or lend?(c) What is the effect of a reduction of the interest rate to 5% on the consumer’s optimal first-periodsaving? (Make sure to take into account the effect of the decline in the interest rate on the present value ofthe consumer’s income stream.)
- Explain how does adecrease in the current income y affect the consumer’s consumption-saving decision. In particular,explain: 1) How will current consumption c, future consumption c′, and savings s change; 2) Arethere any substitution effect or income effect. Make sure you draw two figures, one for the borrowersand one for the lendersIf preferences for pizza increase and the price of labor to produce pizza decreases, the equilibrium quantity of pizza will ____ and the equilibrium price of pizza will _____ . increase, increase decrease, be indeerminate increase, be indeterminate increase, decrease Assume an intertemporal budget constraint that shows how consumption can be traded off between two periods, t and t+1. Assume the consumer can save and borrow at the same interest rate of 10%. Assume the consumer collects income of $100 in each period. To gain an extra $10 dollars in period t+1, what must the consumer give up in period t? $11 $9.10 $1 $10 A convex indifference curve implies what type of behavior? diminishing marginal utility complementary goods perfect substitutes inferior goodsConsider the 2-period household model that you have seen in class. Suppose the household wants to consume equal amounts in both periods. She earns $100 in the first period and $150 in the second period. The interest rate depends on whether she saves or borrows. The interest rate on saving is 1%, while the interest rate on borrowing is 10%. What is her optimal consumption? Note: Type in your answer approximated to two decimal points, i.e., your answer must be of the form "999.99". I will not be able to fix correct answers that were entered incorrectly, such as "999.999" or "999,99" or "999". In case the last digit in the correct answer is zero, e.g., "999.90" or "999.00", Blackboard will automatically delete it and you should not do anything about it.
- Intertemporal budget constraint. Budget line 1: Y1 = $900. Y2 = $600. The interest rate is 12 percent, both for borrowing and saving. Utility = C15C27 Draw the budget line, with solved numbers. Solve the optimal consumption levels to choose in time 1 and time 2.“Permanent Income of consumption is just the average of all current and future incomes. Thus, one does not need to do the maximisation of intertemporal utility”. True or False. Discuss according to the model. Note that you need to discuss according to the model?Economics Michelle is a saver, and consumption in period 1 is a normal good. If there is an increase in the interest rate: Group of answer choices Both the substitution and income effects will decrease consumption in period 1. Cannot be determined without additional information. The substitution effect will increase consumption in period 1, whereas the income effect will decrease it. Both the substitution and income effects will increase consumption in period 1. The substitution effect will decrease consumption in period 1, whereas the income effect will increase it.