ECON1102 Lecture Notes - Lecture 3: Gross Fixed Capital Formation, Nominal Interest Rate, Real Interest Rate

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3 Interest Rates, Investment and Saving
Interest Rates
Nominal interest rate measures return on loan in terms of money
Real interest rate measures return on loan in terms of goods and services
i.e. adjusting for inflation (CPI)
Approximation: real rate ≈ oial rate – inflation rate
r i π
Expected real rate (and inflation rate) is what matters for economic decisions
Ex-post: r ≈ i π
Expected: r ≈ i πe
Fisher Effect:
Assume the real interest rate is a constant
Fisher effect implies that nominal interest rate will move one-for-one with changes
in expected inflation
Negative nominal interest rates:
Nominal interest rates were thought to be subject to zero lower bound (ZLB)
i.e. r = πe
Recent evidence indicates the possibility of negative nominal interest rates
Investment
Investment: Purchase of new capital goods (used in the production of future goods and
services)
Private gross fixed capital formation
Private business investment
Dwelling construction
Inventory investment
Public investment
Investment and capital stock
Investment is a flow variable
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2
Accumulation over time gives capital stock
Economics influences on investment
Compare:
Value of marginal product of capital (VMPK) benefit
User cost of capital (UC) cost
VMPK = MPK x p
Other things equal, the marginal product of capital (MPK) is the increase in
output due to the use of an additional unit of capital
Where p = sales prie of usiness’ output
Two important influences on user cost of capital:
1. Price of capital goods
2. Real interest rate
Other things equal, a rise in real interest rate will make investment less attractive
Other things equal, a rise in the price of capital goods will make investment less
attractive
Cost v Benefits
Benefit of new capital is the value of additional output it provides
Cost is given by user cost of capital: VMPK ≥ UC is favourable
Investment and the real interest rate
Other things equal, an increase in the real interest rate will cause an increase in user
cost and this will make less capital investments worthwhile
Implies a negative relationship between investment and the real interest rate
Can generally write: I = I r; ∂, MPK
Investment demand schedule:
Shift to right = more optimistic, increase in MPK
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Document Summary

Interest rates r i i. e. adjusting for inflation (cpi) Nominal interest rate measures return on loan in terms of money. Real interest rate measures return on loan in terms of goods and services. Approximation: real rate (cid:374)o(cid:373)i(cid:374)al rate inflation rate. Expected real rate (and inflation rate) is what matters for economic decisions: ex-post: r i , expected: r i e. Fisher effect: assume the real interest rate is a constant, fisher effect implies that nominal interest rate will move one-for-one with changes in expected inflation. Negative nominal interest rates: nominal interest rates were thought to be subject to zero lower bound (zlb, recent evidence indicates the possibility of negative nominal interest rates i. e. r = e. Investment: purchase of new capital goods (used in the production of future goods and services: private gross fixed capital formation. Investment is a flow variable: accumulation over time gives capital stock. Value of marginal product of capital (vmpk) benefit.