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marginal rate of transformation (MRT) of goods from future to present (borrowing now to spend later)
(1 + r )
to have1 unit of the good now you have to give up (1 + r) goods in the future
slope of feasible frontier
marginal rate of substitution (MRS) of goods from future to present (borrowing now to spend later)
(1+p)
slope of indifference curve
equation for break-even price of buying a financial contract
present value = future value / (1 + IR)
the present value of these payments depends negatively on the interest rate
if IR increases present value decreases
shape of indifference curve to represent a consumer’s preference between consuming now and consuming later
bowed towards the origin as a consequence of diminishing marginal returns
indifference curve would be linear if borrower didn’t experience diminishing marginal returns
more impatience → higher MRS
pure impatience → MRS > 1
net utility per hour of working
= hourly wage - disutility of effort per hour
total employment rent
= employment rent per hour x expected lost hours of work
employment rent per hour
= wage - disutility of effort - reservation wage
best response function (effort when offered a wage)
the curve increases with wage
concave → as the level of effort increases the slope decreases
higher wages can elicit higher effort but with diminishing returns
frontier of the feasible set of combinations of wages and effort the firm can get from its employees
the slope of the best response curve
MRT of wages into effort
isocost (for effort) for the firm
every point on the isocost line e/w is the same
slope of isocost = e/w = MRS
steeper line (higher e/w) → lower cost of effort
flatter line (lower e/w) → higher cost of effort
participation rate
labour force / population of working age
employment rate
number of employed / population of working age
unemployment rate
number of unemployed / labour force
wage setting curve
the curve that gives the real wage necessary at each level of employment to provide workers with incentives to work hard and well
price setting curve
gives the real wage paid when firms choose their profit maximising price
Equation of price setting curve = w/p =𝜆−𝜆𝜇
when 𝜆 = 1 equation for price setting curve = (1- 𝜇)
what determines the height of the price setting curve
𝜆 = labour productivity = average output per hour
𝜇 = markup → if competition in the market is higher the the markup will be lower
labour market equilibrium
where the wage setting curve and price setting curve intersect
Nash equilibrium
maximum someone can spend in period 1 (with no income period 1 and income in period 2)
= income / (1 + IR)
maximum someone can spend in period 2 (with no income period 1 and income in period 2)
= income - (loan + interest)
max borrow in period 1 (with no income period 1 and income period 2)
= endowment - period 2 spend / (1 + IR)
max spend period 2 (with no income period 1 and income period 2)
= endowment - (amount borrowed period 1 x (1 + IR))
slope of isoprofit curve (at a given point)
(price - wage) / quantity
also MRS
markup equation (when average product of labour = 1)
(price - wage) / price