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Budget Constraint for Leisure and Market Goods
Leisure (L)
Market Goods (Y)Y = W(T – FT – L)+ YN
W = 5 = real wage
T=24
FT=10
YN =0
Y = 5H
14
Hours of work (H)014
0
70
feasible
infeasible
Slope = -W = -5
Budget Constraint for Leisure and Market Goods
Leisure (L)
Market Goods (Y)
Y = W(T – FT – L) + YN
Wage rises to $6
Y = 6H
14
Hours of work (H)014
0
70
Slope = -W = -5
Slope = -W = -6, so
price of leisure increases
Income increase
Budget Constraint for Leisure and Market Goods
Leisure (L)
Market Goods (Y)
Y = W(T – FT – L) + YN
Nonlabor income rises to
YN = 20
Y = 5H + 20
14
Hours of work (H)014
0
70
Slope = -W = -5
90
Income increase
Taste for Leisure and Market Goods
Leisure (L)
Market Goods (Y)HEAVEN
U0
U1
U2
A
B
C
W = (MUL / MUY)
Taste for Leisure and Market Goods
Leisure (L)
Market Goods (Y)
U0
U1
U2
A
B
C
W = (MUL / MUY)
W > (MUL / MUY)
W < (MUL / MUY)
Taste for Leisure and Market Goods
Leisure (L)
Market Goods (Y)
UB
UA
Who has the stronger taste for Leisure?
Y0
Y1
LB LAL0
Taste for Leisure and Market Goods
Leisure (L)
Market Goods (Y)
UB
UA
A
B
Flatter indifference curve means Goods lover
Steeper indifference curve means Leisure lover
YA
YB
LA LB
Two simultaneous effects of a wage change
Income effect: Change in leisure demand caused by a change in income, holding the wage rate constant
If leisure is a normal good, an increase in income increase leisure demand and lowers labor supply.
Substitution effect: Change in leisure demand caused by change in wage rate, holding utility constant.
An increase in wage lowers leisure demand
Response to a wage increase
Income effect toward goodstoward leisure (away from hours of work)
Substitution effecttoward goodsaway from leisure (toward hours of work)
Totaltoward goodsleisure demand (labor supply) ambiguous
Response to a wage increaseIncome effect
toward goods
toward leisure (away from hours of work)
Substitution effecttoward goods
away from leisure (toward hours of work)
Totaltoward goods
toward leisure demand (away from labor supply)
Backward-bending labor supply: If income effect dominates substitution effect, a wage increase lowers labor supply
Response to a wage increaseIncome effect
toward goods
toward leisure (away from hours of work)
Substitution effecttoward goods
away from leisure (toward hours of work)
Totaltoward goods
toward leisure demand (away from labor supply)
Upward-sloping labor supply: If substitution effect dominates income effect, a wage increase raises labor supply
Effect depends on what happens to the budget constraint
Change in slope =>substitution effect
steeper=> wage increase
flatter => wage decrease
Change in height => income effect
higher => income increasing
lower => income falling
Empirical estimates
Hours = a0 + a1*Wage + a2*Nonlabor Income +…
Income effect = a2;
Substitution effect derived from a1 and a2
Effect of 10% wage increase on labor supply
Male FemaleIncome effect -2% -1%Substitution effect 2% 4%Total effect -0% 3%
Empirical estimates
Hours = a0 + a1*Wage + a2*Nonlabor Income +…
Income effect = a2;
Substitution effect derived from a1 and a2
Effect of 10% wage increase on labor supply
Male FemaleIncome effect -2% -1%Substitution effect 2% 4%Total effect -0% 3%
“Backward- Bending” Labor Supply “Upward Sloping” Labor Supply
Why does divorce raise labor supply for women ?and lower labor supply for men?
Marital Status Male Female
Single (never married) 70.2 65.9
Married (spouse present) 77.1 60.5
Divorced 73.5 71.5
Labor Force Participation Rates, by Gender, Marital Status, 2004
Bureau of Labor Statistics: http://www.bls.gov/cps/wlf-table4-2005.pdf
Social Security
Retirement Earnings Test Applies to retirees between 62 and 65*
*Normal retirement age rising to 66 by 2009to 67 by 2027
For workers below normal retirement age, get full benefits if earnings below exempt amount
Benefits fall $0.50 for every $ earned beyond the exempt amount until benefits go to zero
Social Security
Annual Retirement Earnings Test Exempt Amounts, Ages below Normal Retirement Age
----------------------------------------------------------------------Year Exempt income2000 $10,080 2001 $10,680 2002 $11,280 2003 $11,520 2004 $11,640 2005 $12,000 2006 $12,480
GAO. 2000. Characteristics of Persons without Pension Coverage in the Labor Force http://www.gao.gov/archive/2000/he00131.pdf
48% of retired persons have no pension income except Social Security
GAO. 2000. Characteristics of Persons without Pension Coverage in the Labor Force http://www.gao.gov/archive/2000/he00131.pdf
2/3 of retired women have no pension income except Social Security
Iowa Unemployment Insurance
Replacement rate: Percent of previous earnings that are replaced by benefit
Typical is ~50%
Why is replacement rate < 100%?
Why is benefit conditional on being laid off or quitting for cause?
Iowa Unemployment Insurance
In 1984, Iowa’s UI program was $304 million in the red.
Interest on debt $1 million per month
Proposal—continue to pay partial benefits after UI recipient finds work
As of 2004, Iowa UI fund was $683 million surplus
2004 Status Report On The Unemployment Insurance Trust Fund
Iowa Unemployment Insurance
Benefit tied to previous earnings (highest quarter of previous four excluding the current and once lagged quarter)
Average weekly wage = $586
If 0 dependents, 53% of previous earnings up to $310/week
4+ dependents: 65% of previous earnings up to $381/week
You can earn up to 25% of weekly benefit in earnings and still get full benefit. After that, earnings taxed at 100% until benefit is exhausted
2004 Status Report On The Unemployment Insurance Trust Fund
Iowa Unemployment Insurance
ExampleWage = $14.65/hour ($586 per week)
UI Benefit = 65% of previous earnings= $380
25% of benefit = $95 = max allowable labor earnings
Possible part-time job = $9.50/hour
2004 Status Report On The Unemployment Insurance Trust Fund