Use calculus to derive a formula for optimal consumption

Assignment Help Business Economics
Reference no: EM131084746

Given the utility function U = 4lnC1 + 3lnC2 , use calculus to derive a formula for optimal consumption in period 1 (C1*) and period 2 (C2*), each as a function of the income in each period (M1 and M2), and interest rate r. Then find a formula for the amount borrowed, C1* - M1. Note that this is positive for a borrower and negative for a saver.

Reference no: EM131084746

Questions Cloud

Enzymes to digest or breakdown lipids carbs : What do we call the small organelles filled with enzymes to digest or breakdown lipids carbs proteins and other organelles that have outlived their usefulness into small molecules?
Finding the motion vector using sequential search : Finding the motion vector using sequential search
Write steps involved in performing binary search operation : Write the steps involved in performing binary search operation to search an element 56 in the following numbers.
Calculate the correlation coefficient ?x,y : Problem 4.2.6 extended Example 4.1 to a test of n circuits and identified the joint PDF of X, the number of acceptable circuits, and Y, the number of successful tests before the first reject. Write a Matlab function
Use calculus to derive a formula for optimal consumption : Given the utility function U = 4lnC1 + 3lnC2 , use calculus to derive a formula for optimal consumption in period 1 (C1*) and period 2 (C2*), each as a function of the income in each period (M1 and M2), and interest rate r. Then find a formula for th..
Consumer who has been neither saving nor borrowing : Sid is a rational consumer who has been neither saving nor borrowing (he spends exactly his current income). a. Draw a diagram showing Sid’s endowment and current optimal consumption this year and next. b. Show how Sid’s behavior will change if the i..
Difference between interlaced scan and progressive scan : What is the difference between interlaced scan and progressive scan?
Planning to increase the tolls on the bridges : According to an article in the New York Times, in 2011 the Port Authority of New York and New Jersey was planning to increase the tolls on the bridges and tunnels crossing the Hudson River by as much as 50 percent. According to the article, “Revenue ..
Find all integer values : Suppose a and b are positive integers. Find all integer values of - (a2 + ab + b2/ab - 1)

Reviews

Write a Review

Business Economics Questions & Answers

  Variable is almost normally distributed

If the variable is almost normally distributed does that mean you use common distribution.

  How can the organization use technology to change

How can the organization use technology to change this balance for an advantage?

  Maximum profits are made when marginal revenue

When a producer makes more goods at every possible price. The theory of production deals with the relationship between the factors of production and. Maximum profits are made when marginal revenue. One advantage of e-commerce is that

  Illustrate what environmental law currently up

Illustrate what environmental law, currently up for debate before a state or federal government, do you support also why.

  What happens to velocity if the average price level falls

the average price level is $4 per unit also the quantity of money. Illustrate what happens to velocity if the average price level falls to $2 per unit, the money delivery is $2000 also real GDP is 4,000 units.

  Opportunity cost of attending two-year graduate program

Zack quits his job at a consulting firm, which pays $40,000 a year, to enrol in a two-year graduate program. His annual school expenses are $30,000 for tuition, $2,000 for books, and $600 for food. What is his opportunity cost of attending the two-ye..

  Differences between shortages and scarcity

Describe the differences between shortages and scarcity. In answering this question you should think difference between the short run and the long run in economic analysis.

  Is china a neo-mercantilist country

Exports are largely responsible for China’s recent rapid economic growth. The country, capitalizing on its cheap labor force, has focused on converting raw materials into products that are exported to developed countries like the United States. Are t..

  The total quantity produced in the market

Consider the following market game: there are two firms in an industry firm1 and firm 2. Firm 1 first chooses the quantity of its production and then firm 2 observing q1 will choose q2. Demand curve is given by P=1000-Q where Q is the total quantity ..

  Requires a lot of time series observations

The major disadvantages of using ARIMA to derive a forecast include, Requires a lot of time series observations

  Department store assistant manager

Evaluate and explain as accurately as you can the manner in which each of the following individual or party would be affected by fairly rapid inflation? a) A department store assistant manager.  b) A pensioner who receives fixed monthly income.

  Difference between total costs and variable costs

The difference between total costs and variable costs is:

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd