Formulating an Investment Function from Economic Data
An economy's businesses will invest a baseline amount of $800 billion regardless of borrowing costs. However, for every one-percentage-point increase in the interest rate, investment spending falls by $50 billion. Based on this information, construct the aggregate investment function for this economy. Present your answer in the form I = a₀ - a₁r, where 'I' is investment in billions and 'r' is the interest rate as a percentage (e.g., use 5 for 5%).
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Autonomous Investment (a₀)
Interest Rate Sensitivity of Investment (a₁)
Movement Along the Investment Function
Graphical Representation of the Investment Function
Consider two economies, A and B, with different investment behaviors described by the following equations, where 'I' is the level of investment and 'r' is the interest rate (expressed as a whole number, e.g., 5 for 5%).
- Economy A: I = 2000 - 50r
- Economy B: I = 1500 - 100r
If the central bank in both economies raises the interest rate from 3% to 4%, which statement accurately analyzes the impact on investment?
Calculating an Interest Rate Target
Analyzing a Decline in Investment
Analyzing Conflicting Economic Signals on Investment
Match each component of the aggregate investment function,
I = a₀ - a₁r, with its correct economic description.According to the aggregate investment function
I = a₀ - a₁r, a widespread decrease in business confidence about future profitability will cause the level of investment (I) to fall because the interest rate (r) will rise.Formulating an Investment Function from Economic Data
Constructing an Investment Function
An economy's planned investment is modeled by the function I = a₀ - a₁r, where 'I' is the level of investment and 'r' is the interest rate. If a wave of technological innovation makes businesses significantly more optimistic about future profitability, but their responsiveness to interest rate changes remains the same, how would the graphical representation of this investment function be affected?
Evaluating Monetary Policy Effectiveness