Reference no: EM133082338
Consider the Solow-Swan growth model, with a savings rate, s, a depreciation rate, δ, and a population growth rate, n. The production function is given by Y = AK + BKαL1-α, with α ∈(0,1), where A and B are positive constants.
1. Does this production function exhibit constant returns to scale? Explain why.
2. Does it exhibit diminishing returns to capital? Explain why.
3. Express output per person, y = Y/L, as a function of capital per person, k = K/L
4. Write down an expression for y/k as a function of k and graph. (Hint: as k goes to infinity, does the ratio y/k approach zero?)
5. Use the production function in per capita terms to write the fundamental equation of the Solow-Swan model.
6. Suppose first that sA < δ+n Draw the savings curve and the depreciation curve. What number does the savings curve approach as k goes to zero? As k goes to infinity, the savings curve approaches a number: what number is that? Is it zero?
7. Under these parameters, will there be positive growth in the long run? (Remember that A and B are constants). Why?
8. Imagine that we have two countries with the same parameters (same A, B,s,δ, and n). One of them is rich and the other is poor. Which one of the two will grow faster? Why? Does this model predict convergence?
9. Suppose now that sA > δ+n. Draw the savings and depreciation curves. Under these circumstances, will there be positive growth in the long run? Why?
10. If s = 0.3, A = 2, B = 2,δ = .3 and n = 0.03, the growth rate converges to some value as time goes to infinity. What is this value?
Explain the critical race theory
: According to scholar Khiara Bridges, Critical Race Theory (CRT) holds that systemic racism is, however unintentionally, embedded deep within society: codified i
|
Explain the loan calls for equal payments
: You signed a 10-year loan with yearly payments. The loan is $43,600. The interest rate is 5%. and the loan calls for equal payments. What is the value of the pa
|
What is the market price at bond
: Norwegian Adventures o?ers a 6.15% coupon bond with semiannual payments. The yield to maturity is 6.81%. This bond is a 20- year bond issued 2 years ago.
|
What is the aggregate equilibrium quantity
: Assume that the manufacturing of cellular phones is a perfectly competitive industry. The market for cellular phones is described by the following demand functi
|
Write fundamental equation of solow-swan model
: Consider the Solow-Swan growth model, with a savings rate, s, a depreciation rate, d, and a population growth rate, n. The production function is given by Y = A
|
Estimate the linear demand curve
: Estimate the linear demand curve. What is the point elasticity of demand at a price of P = 20? Round your answer to two decimal places.
|
What are the equilibrium st and sc
: 1. It's been estimated that if a truck collides with a car, the damage to the car one is AC = $4,000. There is no damage to the truck. The probability of a coll
|
Where is australia located on the swan diagram
: Where is Australia located on the SWAN diagram?
|
Why does the trump administration want to tax wine
: 1. Why does the Trump Administration want to tax wine imports from the European Union?
|