macroeconomic 2partial Flashcards
What is the Expected Present Discounted Value (PDV)?
The value today of an expected sequence of future payments.
[cite: 699]
How does the PDV relate to future payments and interest rates?
PDV depends positively on expected future payments and negatively on current and expected future interest rates.
[cite: 710, 711]
Formula for PDV with uncertain future payments and interest rates?
$EV_{t}=Ez_{t}+rac{1}{(1+i_{t})}Ez_{t+1}^{e}+rac{1}{(1+i_{t})(1+i_{t+1}^{e})}Ez_{t+2}^{e}+…$
[cite: 709]
Formula for PDV with constant interest rates (i) and constant payments (z) forever, starting next year?
$EV_{t}=rac{Ez}{i}$
[cite: 715]
What is the PDV of a sequence of payments if interest rates are zero?
The sum of the expected payments.
[cite: 717]
Define Discount Bonds vs. Coupon Bonds.
Discount bonds promise a single payment at maturity (face value). Coupon bonds promise multiple payments before maturity and one payment at maturity.
[cite: 727, 728]
What are the two main dimensions bonds differ in?
Risk (default risk, price risk) and Maturity.
[cite: 731, 732, 733]
What is the Yield Curve (or Term Structure of Interest Rates)?
The relation between bond yields and maturity.
[cite: 738]
What is the approximate relationship between the 2-year interest rate ($i_{2t}$) and 1-year rates ($i_{1t}$, $i_{1,t+1}^{e}$)?
$i_{2t}\approx\frac{1}{2}(i_{1,t}+i_{1,t+1}^{e})$.
[cite: 762]
What does an upward-sloping yield curve suggest about market expectations?
Financial markets expect short-term interest rates to be higher in the future.
[cite: 765]
What is the fundamental value of a stock ($Q_t$)?
The PDV of expected future dividends ($D^e$), discounted by the interest rate ($i$) plus an equity premium (x).
[cite: 789]
What are Rational Speculative Bubbles vs. Fads in asset pricing?
Bubbles: prices increase because investors expect them to increase. Fads: prices increase for no reason other than past increases, possibly due to irrational agents.
[cite: 812, 814, 815]
What two types of wealth determine consumption according to modern theory?
Human wealth (PDV of expected future after-tax labor income) and Non-human wealth (financial and housing assets).
[cite: 830, 836]
What is the core idea of the Permanent Income / Life Cycle theories of consumption?
Consumers look beyond current income and plan consumption over their entire lifetime to smooth it.
[cite: 832, 833, 853]
What does the Intertemporal Budget Constraint (IBC) show?
The available choices between present and future consumption given present and expected future income and the real interest rate.
[cite: 842]
How does consumption realistically depend on income and wealth?
$C_{t}=C(Total Wealth_{t}, Y_{t} - T_{t})$. It depends on both total wealth and current disposable income, especially with liquidity constraints.
[cite: 850, 860]
In what two ways do expectations affect consumption?
- Directly via human wealth (expected income/taxes/interest rates). 2. Indirectly via non-human wealth (asset prices like stocks, bonds, houses).
[cite: 861, 862]
What is ‘consumption smoothing’?
The tendency for consumers to want to maintain a relatively stable path of consumption over time, responding less than one-for-one to temporary changes in current or future income.
[cite: 853, 868]
What is the basic condition for a firm to undertake an investment?
The PDV of expected future profits from the investment must exceed its cost.
[cite: 880, 881]
What is the formula for the PDV of expected profits ($V(\Pi^e_t)$) from a machine, considering depreciation ($\delta$)?
$V(\Pi^{e}{t})=\frac{{\Pi^{e}}{t+1}}{1+r_{t}}+(1-\delta)\frac{{{\Pi^{e}}{t+2}}{(1+r{t})(1+{r^{e}}_{t+1})}+…$
[cite: 880]
What is the ‘rental cost’ (or user cost) of capital?
The sum of the real interest rate (r) and the depreciation rate ($\delta$), representing the implicit cost of using capital for a period.
[cite: 887]
How does aggregate investment ($I_t$) relate to the PDV of expected profits per unit of capital ($V(\Pi^e_t)$)?
Investment increases with the PDV of expected future profits: $I_{t}=I(V(\Pi^{e}_{t}))$ (+).
[cite: 885]
Why might current profits ($\Pi_t$) strongly influence current investment, beyond their effect on expected future profits?
Firms may face borrowing (liquidity) constraints; banks prefer lending to firms with high current profits.
[cite: 890, 891]
How does the volatility of investment compare to consumption?
Investment is much more volatile than consumption, though both tend to move together with output.
[cite: 901, 903]