ECON1101 Study Guide - Final Guide: Expected Return, Diminishing Returns, Marginal Revenue

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16 May 2018
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Capital and Financial Markets
Demand for Physical Capital
ā€¢ Physical capital refers to the machines, buildings and physical resources needed to produce
output.
ā€¢ Demand for capital is a derived demand.
ā€¢ Marginal product of capital (MRK) ā€“ additional output from additional (or last unit of)
capital.
o As K increases ā†’ MPK decreases, i.e. diminishing returns to capital.
ā€¢ Marginal revenue product of capital (MRPK) ā€“ additional revenue from additional (or last
unit of) capital.
o MRPK = P x MPK
ā€¢ Demand for capital: Producer thinks on the margin
o MB = MC for firm
o Profit maximising: MRPK = r
ā€¢ MRPK = P x MPK
o As K increases ā†’ MPK decreases ā†’ MRPK decreases.
ā€¢ KD is downward sloping due to diminishing MPK.
Rental Markets
ā€¢ If a firm purchases capital, there is an implicit rental price.
ā€¢ There is a depreciation cost ā€“ the decrease in value from when bought to when sold.
ā€¢ Implicit rental price = depreciation cost + interest cost.
ā€¢ Implicit rental rate = implicit rental price/price of capital = depreciation rate + interest rate.
ā€¢ Interest rate increases ā†’ implicit rental rate increases ā†’ quantity of KD decreases.
ā€¢ i decreases ā†’ r increases ā†’ quantity of KD increases.
Financial Capital
ā€¢ Via capital markets, firms obtain financial capital to buy physical capital.
ā€¢ Finance with:
o Equity - issue stocks or shares.
o Debt ā€“ issue corporate bonds, take out bank loans.
ā€¢ Return on stocks = dividend + capital gain (loss)
Present Discounted Value
ā€¢ Present discounted value ā€“ the value in the present of a future payment.
ā€¢ Let the present discounted value = PDV, the discount rate = i, the future payment = F, and
number of years = N.
ā€¢ PDV = F/(1 + i)N
ā€¢ The higher the discount rate or the further in the future the payment is to be received, the
lower the present discounted value of a future payment.
ā€¢ The PDV of a series of future payments F1, F2, ā€¦, FN over N years is: PDV = F1/(1 + i) + F2/(1 +
i) + ā€¦ + FN/(1 + i)N
Risk Versus Expected Return
ā€¢ Expected returns on financial assets vary with the amount of risk.
ā€¢ Expected return - the return on an uncertain investment calculated by weighting the gains
or losses by the probability that they will occur.
ā€¢ Most individuals are said to be risk-averse, i.e. view risk as bad so choose less or no risk.
ā€¢ Risk-averse investors who take on more risk must be compensated with a higher expected
return.
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