Monday, March 24, 2008

Stagflation

Stagflation is a combination of inflation and little or no economic growth with increasing unemployment.Inflation,unemployment and economic growth are outcomes of the relationship between aggregate supply and demand in the economy. When demand exceeds supply, prices increase and inflation occurs. Conversely, demand being less than supply can lead to unemployment and a recession.


Traditionally it has been assumed that high employment goes hand in hand with inflation given the theory than high employment raises demand. This is defined in the Phillips Curve shown in the figure below.






Stagflation has been a real life event in some national economies and some theories suggest that it is a result of inappropriate government policy. The supply shock theory gives an example of how stagflation occurs. A highly prized commodity(say oil) suffers from a reduced supply thus driving its price up. The economy tries to maintain the same momentum it was experiencing before this shock by paying higher prices in an attempt to maintain the level of demand.


The central bank in a real world economy can take action in view of these events and often provide an economic stimulus in an attempt to prevent a recession. One monetary policy would be a cut in interest rates in a bid to raise aggregate demand as we have seen recently by the Fed. The increased money supply in the economy then drives demand. Higher prices from the demand should cause a balancing increase in supply but the supply shock makes this an impossibility.



In order to incorporate stagflation into the PC model we have to introduce the possibility of a supply event which causes a (monetary policy or money supply) reaction if supply of the commodity(say oil) drops below a ‘balanced’ level. This supply drop needs to be introduced to the model as a "shock" variable. This shock variable will influence the relationship between supply and demand ensuring that increased demand is not always met by a corresponding supply. The PC model represents a demand led economy i.e. whatever is demanded is supplied. In the case of a severe supply shock the economy will become supply led and the shock will result in cost push inflation. Any increases in the money supply in this case will only increase inflation further.


This increased inflation will increase the costs of production and workers will demand a higher wage rate. Higher wages and costs of production will reduce economic growth.

The magnitude of this shock variable will also have an influence on how quickly the economy can recover from this stagflation and return to normal levels. In essence, the greater the shock the greater the ripple effect.

References
1)http://www.jstor.org/view/03170861/ap060028/06a00070/0?frame=noframe&userID=c101646d@ul.ie/01c0a8347100501c23972&dpi=3&config=jstor
2)http://www.oup.com/uk/orc/bin/9780198776222/carlin_chap11.pdf
3)Antitrust law, competition and the macroeconomy, Peter C Carstensen

Monday, March 3, 2008

Blogwork Wk 4

Question One

The PC model extends SIM by introducing government bills, interest payments and a Central Bank. The bills have a value of one unit and at maturity bill holders receive the principal plus interest. The private wealth of households is given by the sum of money and government bills held. Like SIM this model assumes a pure service economy and this means there is no production sector. This implies that household net worth is equal to the net worth of the private sector. Public debt is equal to the value of bills outstanding issued by the government.


In PC the central bank is considered an independent institution with zero net worth. Its only assets are government bills and its liabilities consist of cash or deposits held at the central bank. In the transactions flow matrix for the PC model all rows and columns sum to zero to reflect all transactions. The matrix accounts for two financial assets (money and bills) but the equivalent matrix in SIM only includes money. PC also includes interest paid on government debt and these payments depend on both the stock of assets and the interest rate at the end of the previous period. These interest payments are transfer payments and are not included in national income.


The central bank is separated into two components: the current account and the capital account. The current account records current period inflows and outflows such as interest payments while the capital account records changes to the bank’s balance sheet. The central bank makes a profit as it pays no interest on cash money and earns interest on its bills. All profits are paid to the government and as a result interest payments by the government are only paid on the portion of public debt held by households.


PC also assumes that firms supply the goods/services demanded by households and the government and that households supply the labour demanded by firms. National income is again given by consumption plus government expenditure. Disposable income equals income minus taxes plus interest earned on government bills. The tax paid by households is given by the product of the personal tax rate and taxable income (income plus interest earned on bills). The identities are shown below.


Y = C + G
YD = Y – T + r-1Bh-1
T = Ѳ(Y + r-1.Bh-1)


It is assumed that households make a two stage decision. They first decide how much of their income they will save and they then decide how to allocate their wealth. The consumption decision determines the value of the end of period wealth and the portfolio decision determines the allocation of wealth. In the steady state the quantity of cash held by households is the same as the amount provided by the central bank.The difference between disposable income and consumption is given by the change in total wealth. The consumption function is also modified to include total wealth and not just the stock of money.


V = V-1 + (YD-C)
C = α1YD + α2V-1

Households will hold a certain proportion of wealth in bills and the rest in money. The proportion of wealth held as money is negatively related to the interest rate and positively related to disposable income because of the transactions demand for money. The relevant rate of interest used in determining such proportions is the interest rate that equates the demand and supply of bills at the end of the current period. The proportions of wealth held in bills and money must sum to unity and this is known as the wealth constraint.
The transactions demand for money declines as the ratio of consumption to income becomes normal. In the steady state the ratio V/YD represents a stock flow norm. If cash holdings are modelled as the residual equation then money holdings are equal to the difference between household wealth and the household demand for bills.


Hh = V - Bh


The government deficit is funded by issuing new bills. The central bank purchases all bills not bought by households. As the residual purchaser of bills it provides cash money on demand. Households wish to hold a proportion of their wealth in cash. Cash money is endogenous and the rate of interest is exogenous. The interest rate is fixed and it is the point of equilibrium of the demand and supply of government bills for the current period. The interest rate provides us with one of the parameters for government responses. If the interest rate could vary then there would be no symmetry in the allocation decision.



Question 2

Liquidity Preference

Liquidity Preference is a tendency amongst individuals to fix the amount of money they have on hand for use in immediate consumption. Keynes notes that an individual’s liquidity preference is driven by three factors:
Transactions motive – the need to have a certain amount of cash on hand for personal and business transactions
Precautionary motive – the need for security of knowing your future cash amount
Speculative motive – It may be that the individual who wished to retain cash in a more liquid position believes that the rate of interest in the future may be higher than the existing on in the market

Different economic conditions drive these three factors. A relationship between the last two factors and the existence of an organized market can be seen. In the absence of an organized market, the precautionary motive would be more prevalent whereas the existence of one drives the speculative motive. A decrease in interest rates would cause an increase in national income and a proportional increase in the amount of money convenient to have on hand and so raise the transaction motive factor.


The Liquidity Preference Curve below shows the relationship between interest rate and liquidity preference

An individual’s liquidity preference can be seen as a propensity to hoard (in this case taken as the actual holding of cash) if the decision to hoard were reached with regard to the advantages available for parting with the liquidity. A “balancing of advantages”.
Keyne’s contests the notion that the rate of interest is a return for saving, as an individual hoarding cash will earn no interest. The rate of interest is instead a reward for parting with liquidity. The interest rate of the market can therefore be viewed as a measure for the liquidity preference of society.
M = L(r)

PC Model

The Keynesian notion of household’s making a two step decision, the first being how much of their income they will save and the second being how they allocate this saved income, is incorporated into the same time frame within the PC model. Consumption decision determines size of saved income and portfolio decision determines allocation.
The PC model introduces the concept that the difference between disposable income and consumption is equal to the change in wealth and not just money as was the case in the SIM model.
V = V-1 +(YD-C)
The consumption function is also expressed in terms of total wealth instead of money
C = α1.YD +α2*V-1
Making money balances a proportion of total wealth incorporates Keyne’s notion of liquidity preference. The lower the liquidity preference, the lower the money to wealth ratio.

Hh/V = (1-λ0) – λ1*r+λ2.(YD/V)

The λ variables are proportions of wealth. 1-λ0 is the proportion of wealth held in the form of money and it is affected by changes in the rate of return on treasury bills and the level of disposable income relative to wealth. It is negatively affected by interest rate increase and positively affected by increase in disposable income.
A similar equation used by the model is shown below.
Hh = V – Bh where Bh = V*((λ0) + λ1*r-λ2.(YD/V))
It states that the money holdings are the difference between the total household wealth (V) and the demand for bills by the household (Bh).
In both models, the interest rate is the equilibrium in the desire to hold cash and the availability in cash.The quantity of money held depends on the rate of interest that can be obtained on other assets.

References


The General Theory, Keynes


Monetary Economics, Godley and Lavoie

Monday, February 25, 2008

Blogwork 3


Question 1


(i)Difference between SIM and SIMEX when both models are in steady state
Wealth acts as the equilibrium mechanism in the SIM model which is similar to the buffer (or flexible element) in the SIMEX model. In the SIMEX model, the important buffer is the role of money. The SIM model builds on wealth whereas the SIMEX model incorporates expectations.
In the case of perfect foresight, the steady state of the SIMEX model and the SIM model are identical. The national income in both steady states will be the same.
In the case, however, where mistakes are made in expectations, a steady state will be reached at a slower rate of convergence than the perfect foresight case. This slower rate is due to the recursive nature of the SIMEX model and the extra time needed to ease the discrepancy between desired and realized holdings of money. The path to reach this state will be different. The disposable income reached will be identical. Actual wealth however, in the steady state where expectations have been made incorrectly, will be higher.
(ii)Mistake in Expectations

In the case of a mistake in expectations in the model where the household’s income is allowed to suffer, the ability of the model to reach a steady state is not compromised. It will however take longer for the model to converge to a steady state than if expectations were made with perfect foresight. The path to reach this state will be different. Actual wealth however, in the steady state where expectations have been made incorrectly, will be higher.
Relating this to the real world, if a household underestimates its income, there will be an increase in savings and therefore an increase in the stock of wealth (H). This change in wealth will cause consumption to increase at a rate higher than if the income expectation had been correct. The household’s consumption in a certain period won’t increase as they have prepared to consume a certain amount so they will find themselves with an unexpectedly excessive or depleted and therefore amend their consumption decisions. In an economy where the disposable income of the household is continually underestimated, public debt would, as a result, be larger than that of an economy where perfect expectations are made.
(iii)











As shown in Table above. We start from a situation where there is no economic activity whatsoever, and where none has ever existed, in period 1. Households have no income, and they never accumulated any wealth. In period 2, households assume an income level of 30, and hence expected disposable income is equal to 24(=30-(0.2*30)). Since there is a marginal propensity to consume of 0.6, the actual consumption is 14.4(=α1*YDe=0.6*24) and hence income is 44.4(=G+C=30+14.4). The discrepancy between desired and realized holdings of money is equal to the discrepancy between expected and realized disposable income. Also, one can see that the expected disposable income at period 3 is the same as realized disposable income at period 2.


Question 2


(i) The consumption function in the standard ISLM model includes an autonomous component. Consumption is equal to autonomous consumption (consumption that will happen anyway) plus the product of the marginal propensity to consume and disposable income. Current consumption is not related to previous stocks of wealth. The specification of the consumption function in SIM is different and consumption is a function of stocks and flows. Consumption is calculated as some proportion alpha one of the flow of disposable income plus a smaller proportion alpha two of the stock of wealth from the previous period. A version of SIM that replicates the ISLM could be created by allowing consumption to be a function of autonomous consumption (which is independent of current income), the marginal propensity to consume and disposable income only as the ISLM model does not consider stocks such as the stock of money.
(ii)The equilibrium value of Y* calculated using a standard multiplier such as that in the ISLM represents a short run equilibrium. It does not represent a steady state solution.
However the form of SIM that replicates the ISLM model uses the specification of the consumption function mentioned above and it can reach a stationary state. It is possible for the average propensity to consume to be unity and this means that we can have consumption equal to disposable income in the stationary state. This can occur even if the marginal propensity to consume is less than one. In this case autonomous spending has a similar role to that of consumption from the stock of previous wealth and ensures the stability of the model. If the autonomous part was ignored the model would be unstable as the stock of money and government debt would rise forever.


Equilibrium Shocks


The change in the shocked interest rate value from 0.07 to 0.1


Before







After





Before

After





resulted in an upward shift in the capital output ratio and an upward shift in the value of the household. The gradient of both have increased greatly showing that an increase in the interest on bonds results in an increase in the value of the household, presumably due to investment in these bonds due to the higher yield.


Change in value of alpha from 0.3 to 0.7



Before















After



The increase in the accelerator effect to consume shows a marked decrease in the value of households, capital account ratio and bonds. The growth rate in the economy however increases in the short term but levels out in the long term.

Monday, February 18, 2008

EC6012 Homework 2

Why must the vertical columns equal zero?

'Everything comes from somewhere and everything goes somewhere'. Simply put, the outgoings must equal in incomes in this model. In the case of households, the difference between the outgoings of consumption and taxes paid and the income of wages must equal the cash held. The vertical column therefore sums to zero.
In the case of production, the model assumes that no cash is held by industry so the money received from sales and government input must equal wages paid. "Balancing the books" in effect.
Similiarly, the change in the amount of money in the economy must be equal to the difference between government expenditure and receipts.


Why must the horizontal columns equal zero?

In this model whatever is demanded(services, taxes and labour) is supplied. In other words, an equality exists between sales and purchases.In the table we can see a corresponding supply element for every demand element. eg. Cd = Cs

Row Explanations

Consumption

In this model disposable income is given by the wages earned by households minus taxes.
Yd = W.Ns – Ts.
The tax rate on income is t and Td = tWNs.

The consumption function describes the rate at which households consume. In each period, households’ have disposable income and a stock of wealth held from the previous period. In any period consumption is determined by multiplying alpha one by disposable income and adding the product of alpha two and the stock of wealth accumulated from the past. Alpha one is the propensity to consume from current income and alpha two the propensity to consume from past wealth.

Government Expenditure

The government purchases goods and services from firms in the economy with money. Governments fund this spending by taxing its citizen’s wages. The sale of government services is given by Gs and Gd represents the purchase of government services.

Output

Output is the total production of goods and services in the economy. Output is equivalent to national income. National income is given by the identity Y = Cs + Gs. It can also be written as
Y = W.Nd.

Factor Income

Factor income is calculated by multiplying wages by the number of workers. It represents the income received for supplying labour in the production of goods and services. Households earn W.Ns. The factor income paid by the producers represents a liability on their part and is equal to –W.Nd. Factor income paid by producers is equal to that received by households and thus +W.Ns – W.Nd = 0 in the behavioural transactions matrix.

Taxes
Taxes paid by individuals equals taxes received by the government. These taxes received by the government fund government expenditure. Taxes are calculated based on a percentage of the individuals wage decided by the government. So taxes are a percentage of WB*N where N is the number of workers. Wages themselves arise from sales of the individual's work.
Td = θ * W* N


Changes in Money

The change in money held by the household, ΔHS must equal the difference between their outgoings(consumption and taxes) and their income(wages). An increase in the change in money would denote an increase in excess money above their outlays and so indicate a move towards savings and in this model an assumption of investment in financial assets issued by the government.

(Godley&Lavoie, Monetary Economics Chapter 3)

Tuesday, February 12, 2008

Terms

1.Aggregate Demand Relation


Aggregate Demand is the total output that is demanded at each price level holding all other variables constant. The relationship between the level of demand and the aggregate price level is shown by an aggregate demand curve which is usually downward sloping. This means that a lower price level will result in a greater aggregate quantity of goods and services demanded. Mathematically aggregate demand is given by the identity:AD = C + I + G + X - Mi.e. aggregate demand is the sum of consumer spending, investment, government expenditure and net exports (X-M)
























Ref: Turley G. and Maloney M., ‘Principles of Economics: An Irish Textbook’ Second Edition









2.Animal Spirits





Animal Spirits is a term closely related to John Maynard Keynes who used it to describe the idea that aggregate economic activity may be partly driven by waves of optimism and pessimism. Essentially Keynes was saying that confidence sometimes played a part in determining economic prosperity.


Example: When consumers are confident about the future state of the economy they are likely to increase spending. Increased consumer spending which is magnified by the multiplier effect will increase aggregate output.






3.Bank Run





A bank run occurs when customers fear that a bank will become insolvent and rush to remove their deposits from the bank.


Example: A recent example of a bank run is the situation involving Northern Rock. A large number of customers removed their deposits when Northern Rock announced it had received emergency funding from the Bank of England. The actions of the customers almost resulted in the failure of the bank.








4.Bond


A bond is a debt security in which the bond issuer owes the bond holder an amount of money called the principal and the issuer is obliged to repay the holder the principal plus interest(also called the coupon) at a specified future date called maturity.


Example: A bond is simply a loan. In the case of a mortgage, a bank can be regarded as the bond holder and the borrower can be regarded as the bond issuer. Interest paid is equivalent to the coupon.







5.Capital Account


The part of the balance of payments that records a nation's incoming and outgoing investment flows, such as payments for parts of or entire companies (direct or portfolio investment), stocks, bonds, bank accounts, real estate and factories.


Example: Ireland’s Capital Account deficit for the financial year 2007 was 8,616 million euro compared to 6,804 million in 2006.










6.Debt to GDP ratio


A country’s debt to GDP ratio is calculated by dividing national debt by Gross Domestic Product (GDP). The ratio is a measure of a country’s ability to repay its debt.


Example: Ireland’s debt to GDP ratio has fallen from over 90% in the early 1990’s to an estimated 25.1% in 2007.










7.Effective Demand


Effective Demand is an economic principle that suggests consumer needs and desires must be accompanied by purchasing power in order to be considered ‘effective’ or relevant in determining demand and supply and in turn price.


Example: A consumer with a low income may have a strong desire to purchase an expensive sports car but will not have enough money to purchase one. In order for this consumers’ demand to be ‘effective’ he must be willing and able to pay for the car.









8.Deflation


Deflation is the persistent decrease in the general price of goods or services over a period of time. There are four causes of deflation.


· Decrease in demand for goods/services


· Increase in supply of goods/services


· Decrease in spending power


· Increase in demand for money


An increase in the supply of goods/services can be caused by capitalism where as industry improves and competitors increases, the supply of goods and services increases meaning that prices must fall to balance the demand. A decrease in the spending power of a population can also lead to deflation as the demand for goods and services will decrease, industry will suffer due to losses and the consequences of this (job losses, interest rate increases) will fuel the deflation. Deflation can benefit or hinder an economy depending on the cause. An increase in supply of goods for example could lead to increased spending power which could drive industry. A decrease in the spending power however can have cyclical effects and has devastating effects on an economy.The great depression in the US was an example of deflation. Spending power in the US decreased affecting industry. Consumer and wholesale prices fell from between 25% and 35%.
















9.Consumption Function


The consumption function calculates the amount of total consumption in an economy. It emphasizes the relationship between consumption and income.


It calculates it as being :


C = a +c*Yd


Where a is the autonomous consumption, c is the marginal propensity to consume and Yd is the disposable income. Autonomous consumption represents consumption when there is zero income. Marginal propensity to consume is a measure of how likely someone is to consume. Consumption based on income is therefore a fraction of disposable income and the factor affecting what fraction is the mpc. Future potential income is not a factor in the consumption function.


Demonstrating an example of this: If my disposable income was 20,000 euro, my marginal propensity to spend was .4 and my autonomous consumption was 2,000, using the above formula we can see that my consumption according to the consumption theory is


C = 2,000 + (.4)*20,000 = 10,000






10.Consumer Price Index


A consumer price index or CPI, measures the average price of goods/services purchased by a household. It is a national economic statistic from which the rate of inflation can be measured as an annual percentage change in the price index. It is therefore known as an inflationary indicator.The average price is based on a fixed basket of good and services. The consumer price index is also known as the cost of living.




An example of this could be seen in Ireland over the past number of years where the cost of living has increased. Dublin is now ranked the 8th most expensive city in to world in which to live. The CPI rose to 4.9% in 2007. Food prices have been shown to be the major culprit in this increase.












11.Investment Function


The investment function shows the relationship between changes in national income and the investment patterns in an economy.


Example:If the national income increases and you find yourself with an increased wage for example, the investment function studies the effect of this on your investment tendencies. So taking a simple example of the investment function, holding interest rates and other economic factors constant, the increase in wealth of the individual would lead to an increase in their propensity to invest.










12.Fiscal Expansion


Fiscal expansion is an increase in government spending due to fiscal policy brought about to affect an economy. Fiscal policy is said to be expansionary when government spending is higher than revenue. This adds directly to aggregate demand or indirectly if the expansion is due to reduced taxes. This would cause an increase in household’s disposable income and presumably an increase in consumption. This in turn raises aggregate demand.


An example of fiscal expansion can be seen currently in the US where the US Federal Reserve cut interest rates by 1.25% in an aim to provide a fiscal stimulus.










13.GDP Deflator


The GDP deflator is a measure of the change in price of domestically produced goods and services. GDP is the gross domestic product which is the total value of final goods and services produced in an economy. The deflator is not calculated based on a fixed basket of goods/services like the Consumer Price Index and therefore reflects new goods and services. It is calculated as follows:


GDP Deflator = (Nominal GDP/Real GDP) * 100


As seen in the above formula, dividing the nominal GDP by the deflator produces the Real GDP. It shows how much a change in a year’s GDP is influenced by changes in the price level. Example – A GDP Deflator value of 102 would show a 2% increase in the GDP.







14.Imports


Imports are the purchase of foreign goods and services and are therefore goods or services provided to domestic consumers by foreign producers.


A simple example of an import would be an American importing some traditional Irish produce such as denny’s meat produce. Ireland is the 12th largest import source for the US.







15.Monetary Contraction


Monetary contraction policy is when the Federal Reserve is using its tools to put the brakes on the economy to prevent inflation.This usually means raising the Fed Funds rate to decrease the money supply. This will cause mortgage rates to increase, consumers to borrow and spend less, and businesses to stop raising prices and giving raises. This usually heads off inflation.


e.g. Dodge line is a financial and monetary contraction policy drafted by Joseph Dodge for Japan to gain economic independence after the World War II. It was announced on March 7, 1949.


1) Making the national budget balance to reduce inflation.


2) More efficient tax collection.


3) Dissolve the Reconstruction Finance Bank because of its uneconomical loans.


4) Decrease the scope of government intervention.


5) Fix exchange rate to 360 yen to the US dollar to keep Japanese export prices low.




(Kimberly Amadeo, the publisher of WorldMoneyWatch.com, How Would the Fair Tax Impact the Economy?)


(James D. Savage, University of Virginia, The Dodge Line and the Balanced Budget Norm in Japan)






16.Nominal GDP


The nominal GDP is a gross domestic product (GDP) figure that has not been adjusted for inflation. Also known as "current dollar GDP" or "chained dollar GDP".


i.e. It can be misleading when inflation is not accounted for in the GDP figure because the GDP will appear higher than it actually is. The same concept that applies to return on investment (ROI) applies here. If you have a 10% ROI and inflation for the year has been 3%, your real rate of return would be 7%. Similarly, if the nominal GDP figure has shot up 8% but inflation has been 4%, the real GDP has only increased 4%.


(Reem Heakal, Macroeconomic Analysis)






17.Propensity to consume


The average propensity to consume is the proportion of income the average family spends on goods and services. (Mike Moffatt, Who Pays the Highest Marginal Tax Rates?)A component of Keynesian theory, the marginal propensity to consume (MPC) says by how much consumption rises if income rises by one unit.


e.g. Suppose you receive a bonus with your paycheck, and it's $500 on top of your normal annual earnings. You suddenly have $500 more in income than you did before. If you decide to spend $400 of this marginal increase in income on a new business suit, your marginal propensity to consume will be 0.8 ($400 divided by $500).










18.Short run


A period of time in which the quantity of some inputs cannot be increased beyond the fixed amount that is available.


e.g. What quantity of inventory to order is a short run decision. Whether or not to build a new factory would be considered a long run decision.









19.Real exchange rate


The real exchange rate is the ratio between the price of a (bundle of) good(s) abroad and at home.


e.g. If the real exchange rate of the French franc falls below purchasing power parity, it is cheaper to buy imported goods: French people will buy Rovers rather than Citroens, enjoy Cheddar and Chester over Roquefort and Brie, and eventually, although the exchange rate would have to be very low, they may even switch to drinking British wine. Adding all these things up, French imports from Britain rise as the exchange rate falls. The opposite occurs if the real exchange rate goes up.




(Manfred Gartner, A Primer in European Macroeconomics)






20.Trade surplus


Trade surplus is a positive balance of trade. i.e. Exports exceed imports, opposite of trade deficit.


e.g. China shocked much of the world last year(in 2005) when it reported that its global trade surplus had more than tripled to $102 billion or 4.5% of revised gross domestic product.





(Stephen Green, China's Trade Surplus May Be an Illusion, MAY 22, 2006)

Monday, February 11, 2008

Exercise 3

Exercise 3
What happens to steady values of output when personal income tax changes?
In the steady state G = T .
G = tWN and T = tY where t is the personal income tax rate,W is wages and N is the constant population.

This results in the following identity in the steady state:
Y = G/t

In the steady state national income will increase when the level of personal income taxation is reduced. This will reduce the value of the denominator in the formula above and thereby increase national income. This is not a wise policy for a government to adopt in the long run because in times of crisis the government will face budget deficits.
Similarly, national income will decrease when the level of personal taxation is increased. This is because higher taxes will reduce consumers spending and in turn national income.
In the steady state:

Y = G/t = tWN/t

When personal income tax changes, wages must change in order for income to change. If personal income tax decreases ,then wages must increase in order for national income to increase as the population is assumed to be constant.

Team Members

Stephen Devaney 0702950
Síle Bourke 9840796
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