Utility from consumption

 

 

 

 

 

2. Suppose a representative agent derives utility from consumption c and leisure moo (flows
0 In (c) (I — 0) In (n) .
The agent receives labor income equal to her daily wage into w times the Inaction of each day that she works I. The agent also xeceivcs transfer income from the government equals to – she receives this income regardloiR of the snout of time she tipend working. Site alloeataa her noreperson.Jaate Gum each day to either enjoying leisure or working. The agent goal is to maximize her utility subject to the following constraints^
Budget constraint: c = 7 + ad. Time constraint: I n = I.
A) Assume 0 – 0.4, w = 8 and 1.8 Determine the agent’s optimal time spent working, optimal leisure and optimal consumption.
B) Show how the agent’s optimal consumption c wary with the amount of trander income 7 from the government and the wage rate w. Briefly tup/ain.
C) Suppose 7 — 0. Do the agent’s optimal time spent working depend on the after-tax wage rate h. Briefly explain. I)) Suppose now the gmerninent provides a transfer that is proportional to the agent’s wage. That is. instead of paying an income tax proportional to the age (as we disciawed in class), the agent’s take-home wage is inereatol In a moportional wage transfer denoted by n. Write the agent’s budget constraint astuming that y = 0. Do the agent’s optimal time Wilt working depend on the after-trawder wage rate. Briefly ciplant.

 

 

Sample Solution

ase study will address the concept of inflation – the rise in average level of prices sustained over time that corresponds to a fall in the internal (domestic) purchasing power of money – with regards to Venezuela. The goal here is to explore several trains of enquiry in order to critically evaluate the impact inflation has had – and may potentially have – on the national income and economic growth of Venezuela. As it stands, Venezuela’s inflation rate – 282972.8% – significantly exceeds that which holds 2nd position – Zimbabwe -175.66% (WorldEconomicForum 2019). In order to better decipher the notable disparity in inflation rates between Venezuela and the rest of the world, several areas will be analysed. This macroeconomic issue will be addressed with regards to challenges surrounding it alongside any potential benefits, it’s impact on the labour market, it’s fiscal impact in terms of taxes and government spending and potential policies that could be implemented in hope of combating it. Venezuela holds the highest recorded oil reserves in the world – possessing approximately 300 billion barrels – even surpassing Saudi Arabia. Evidently, oil is one of Venezuela’s most valuable commodities accounting for 95% of Venezuela’s exports and 25% of its gross domestic product (Independent 2018). However, during a period of time in which the global price of oil dropped, foreign demand to buy Venezuelan oil dipped simultaneously. A key factor that lead to Venezuela’s current crisis, is evidently their sole dependence on a single commodity – oil. As University of Florida’s Gamarra explains, this means “you are bound to the ups and downs of the oil price,”. Without a range of high value added assets, an economy lacks diversity and is vulnerable to ‘moments of downturns in your principal commodities (CNBC 2019).’ On an individual basis, hyperinflation renders any savings worthless due to its eroding impact on money. Consequently, people may hoard goods for instance, food due to the soaring prices. Situations such as these may lead to shortages of food supply, contributing to the issue further.

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