Consider 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 thefirst 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 onborrowing 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 enteredincorrectly, 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 itand you should not do anything about it.

A Two-period Model is defined as a model where there are two periods: the first period represents…

Consider 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?

Consider 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?

Microeconomic Theory

12th Edition

ISBN:9781337517942

Author:NICHOLSON

Publisher:NICHOLSON

Chapter17: Capital And Time

Section: Chapter Questions

Problem 17.3P

See similar textbooks

Similar questions

Suppose the household wants to consume equal amounts in two 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? Be sure to explain why you choose to save or borrow.
it is given that the ratio of APS to APC is 2/7 Calculate the ratio of Consumption to savings
In Irving Fisher’s two period model, if the consumer is initially a saver and the interestrate and the first period consumption increases, then we can conclude that the incomeeffect:a) Was greater than the substitution effectb) Was less than substitution effectc) Exact offset the substitution effectd) And the substitution effect both increased consumption
Consider the household model that you have seen in class but now assume that the goal of the household is to consume twice as much in period 2 as in period 1. She earns $100 in the first period and $150 in the second period. The interest rate is 5%. What is her optimal saving in the first period? 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.
Rajiv is buying pizza and salad for a company lunch. Suppose that a slice of pizza costs $2.00, and a bowl of salad costs $4.00. Let E be the amount in dollars that Rajiv spends on pizza and salad. If Rajiv buys P slices of pizza and S bowls of salad, then the total amount of money he spends (E) can be represented by the equation Now rearrange the equation you wrote above so that S is written in terms of E and P. The quantity of salad he buys can be represented by the equation Suppose Rajiv has $32.00 to spend on pizza and salad; that is, E = $32.00. Complete the following table with the values of P or S that make the equation true. Hint: To complete the first row, determine the number of salad bowls Rajiv can purchase with $32.00, when the number of pizza slices he purchases is 0. Budget Pizza Salad (Dollars) (Slices) (Bowls) 32.00 32.00 8 32.00 Use the black line (plus symbols) to plot the line illustrating the combinations of pizza and salad that Rajiv can purchase with a budget of…
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.
The following table contains data on the relationship between saving and income. Rearrange these data into a meaningful order and graph them on the accompanying grid. What is the slope of the line? Interpret the meaning of the slope. What would you predict saving to be at the $12,500 level of income?
Define time preferences for consumption
Consider the standard Ramsey model with endogenous labor supply. Assume that the house- hold has a unitary time endowment that it can split between labor time (L;) and leisure time (1 – Lt). The household's problem is defined as follows: Σ Vo Bt. max Ct,Ct+1,Lt,Lt+1,Kt+1 t=0 s.t. K41 - Kį =r¡Kt +W¿Lt – Ct The representative firm maximizes profit as follows: max по — Lt,Kt Y; – w;Lt – (rt + 8)K; (1+r¿)* t=0 s.t. Y = AK, L -a
Explain the concept of household types and theirinfluence on consumption
The table contains data on the relationship between saving and income. Rearrange these data into a meaningful order and graph them on the accompanying grid. What is the slope of the line? The vertical intercept? Write the equation that represents this line. What would you predict saving to be at the $12,500 level of income?
What is the type of consumption of household spending which is independent