Consider a basic Solow–Swan model with constant labour force L and constant total factor productivity A. Suppose the saving rate is and the depreciation rate is . Suppose also that steady-state output per worker is 100. Steady state investment per worker is:

Question

Consider a basic Solow–Swan model with constant labour force L and constant total factor productivity A. Suppose the saving rate is  and the depreciation rate is  . Suppose also that steady-state output per worker is 100. Steady state investment per worker is:

BlackTom AI · Accepted Answer

Let's restate the information and then assess what we can determine from it.
- We are in a basic Solow–Swan model with constant labour L and constant total factor productivity A.
- The saving rate is given as s (value not provided in the prompt).
- The depreciation rate is given as δ (value not provided in the prompt).
- Steady-state output per worker is y* = 100.
- The question asks for steady-state investment per worker, i*.

Key relationships in the Solow model with no population growth (n = 0) are:
- In steady state, per-worker capital k* satisfies i* = δ k*, since investment per worker equals depreciation per worker at the steady state.
- Output per worker y* is a function of k*: y* = f(k*).
- Investment per worker i* equals s f(k*) = s y* in a standard model where all saving is invested.

From the data given, we know y* = f(k*) = 100. However, to determine i* = s f(k*) = s y*, we would need the saving rate s. Without s (the saving rate) and without δ (the depreciation rate) explicitly provided, we cannot compute δ k* or s y* numerically.

Therefore, even though the prompt lists a single numerical option '30' as an answer, the calculation cannot be completed correctly with the information provided. The missing values s and δ are essential to compute steady-state investment per worker i*; additionally, the specific form of the production function f (though implied to be standard per-worker production) does not by itself determine i* without s and δ.

If we were to proceed with any numerical result, we would need:
- The saving rate s to compute i* via i* = s y* = s × 100.
- Alternatively, the depreciation rate δ and the steady-state capital per worker k* (and the production function form to relate k* to y*) to compute i* = δ k*.

In summary, with the given information, the steady-state investment per worker cannot be uniquely determined, and the provided sole option '30' cannot be confirmed as correct without the missing parameters.

Consider a basic Solow–Swan model with constant labour force L and constant total factor productivity A. Suppose the saving rate is and the depreciation rate is . Suppose also that steady-state output per worker is 100. Steady state investment per worker is:单项选择题

类似问题

Over the last several decades the observed relationship between capital per worker and real-GDP per worker for the United States was linear. What is the most plausible explanation for this observation?

Question5 Ref. Solow-Swan Model. The steady state is defined as the point where capital accumulation, is equal to the depreciation rate. the saving rate. the population growth rate. zero. the productivity growth rate. ResetMaximum marks: 1 Flag question undefined

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