Questions tagged [macroeconomics]

Macroeconomics is a branch of economics dealing with the aggregate economy as a whole, rather than individual markets.

541 questions with no upvoted or accepted answers
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7
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106 views

Replicating a state-space model

I am trying to replicate the results of Cochrane, 1998. Most of the paper is just describing the theory behind The Fiscal Theory of the Price Level. But from p. 42 he begins the econometrics aspect. ...
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63 views

Small Open Economy Without Government

Suppose we have an economy with a representative consumer with the following utility function: $$U=\sum_{t=0}^\infty\beta^t\frac{c_t^{1-\sigma}}{1-\sigma} $$ There is no uncertainty and the household ...
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Proof monotonicity on Blackwell sufficient conditions

I need to prove monotonicity assumption on Blackwell’s sufficient conditions for a contraction, that is: Given the operator T defined as $(Tf)(x) = sup [F(x,y)+bf(y)]$ I need to show that $f\leq g\...
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1answer
2k views

Estimating the rental rate of capital from data

Take the classic optimization problem of the neo-classical firm: \begin{equation} \begin{array}{*2{>{\displaystyle}r}} \mbox{maximize (over $K, L$)} & f(K, L) - RK - WL \end{array} \end{...
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124 views

Why is poverty worse in larger cities?

In inner cities in the US there is more poverty (as a proportion of the population) than in mid-sized cities or small towns. Do we have a definitive answer as to why this is?
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52 views

Optimal level of consumption in discrete time model with quadratic preferences and infinite horizon

I am trying to derive an expression for the optimal level of consumption in the basic problem: $ max \hspace{1cm} U_t = E_t \left[\sum_{s=t}^{\infty} \beta^{s-t} \left( C_s - a\frac{Cs}{2}^2 \right) ...
5
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33 views

Controversy surrounding the Fiscal Theory of the Price Level (FTPL)

I recently started reading a draft of John Cochrane's book on the Fiscal Theory of the Price Level. In the preface he states that the "[...] theoretical controversies are over." However, ...
5
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1answer
91 views

Derive and Decompose The Aggregate Elasticity of Substitution in CES Economy

The paper is Oberfield & Raval 2021. Consumers have standard Dixit-Stiglitz preferences consuming the bundle $$Y= \left(\sum_{i \in I} D_{i}^{\frac{1}{\varepsilon}} Y_{i}^{\frac{\varepsilon-1}{\...
5
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1answer
526 views

Criticism of "Modern Political Economics" by Varoufakis, Halevi, Theocarakis

The book "Modern Political Economics" is quite critical about "neoclassical economics", the basic claim being, if I understand correctly, that the models which "neoclassical economics" (armed with ...
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194 views

Consumption-Leisure Elasticity

The macro-literature insists on a consumption-leisure elasticity of 0 to match the balanced growth fact of constant labor supply. Is there any paper that tries to evaluate this elasticity using ...
4
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0answers
38 views

Value function iteration with habit

I would like to know how I could write a value function when there are habits in preferences. I have the following equations: $$ u\left(C, t, H_{t}, L_{t}\right)=\frac{\left(C_{t} / H_{t}^{\kappa}\...
4
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61 views

Neoclassical Two-Sector Model of Endogenous Growth: Getting the consumption growth rate

I'm struggling to derive the growth of consumption from a two-sector model with the traditional Cobb-Douglas function. The model I am speaking about incorporates the fractions used by physical and ...
4
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69 views

Combining functions that satisfy the Inada conditions

Suppose $f: \mathbb{R} \to \mathbb{R}$ and $h: \mathbb{R}^n \to \mathbb{R}$ are functions that satisfy the Inada conditions, and also $$ \forall i: \lim_{x_i \to \infty} h(\mathbf{x}) = \infty. $$ ...
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3answers
118 views

Real Income and a Fixed Money Supply

What would happen to nominal income and wages if the money supply were fixed (100% reserve banking). Would real wages increase, even though nominal wages would stay the same or even decrease?
4
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0answers
46 views

Mechanics of Sterilized Intervention?

I'm looking to see if someone can help improve my understanding of sterilized intervention in FX markets. My intuition/understanding is: Assume that the domestic currency is depreciating, perhaps ...
4
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1answer
91 views

Negative Inflation, AS/AD framework, What Graph to use?

My macroeconomic homework contains the question below, and I'm not sure what graphs we're suppose to use to solve it. I believe I can answer the whole question using the IS-MP Diagram, but do I need ...
4
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3k views

Multiplier in the two-sector Keynesian model

Which of the following is most likely to reduce the size of the multiplier in the simple (2-sector) Keynesian model? Increased taxes on savings Reduced access to government funded medical care ...
4
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1answer
99 views

If the economy is not always on the Price setting curve, can the Central Bank target unemployment?

In the usual textbook model, in which there's imperfect competition, the economy is always on the Price-Setting(PS) curve, and to have a target unemployment level, above equilibrium unemployment, will ...
3
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26 views

Value function iteration with stochastic productivity's standard deviation

Hello I would like to know how would you discretize the AR(1) process of technology in a standart RBC model when there is stochastic productivity's standard deviation. Namely I have: Technology $Z_t$ ...
3
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28 views

Calibration of labor market frictions parameters

I want to refer to the following paper A Three State Model of Worker Flows. My questions are regarding the calibration of parameters. First, I would appreciate any help when on p. 11 it says that $\...
3
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0answers
38 views

Deriving the New Keynesian Phillips Curve (NKPC)

I have a question regarding the NKPC. I would like to know if it is possible to derive the NKPC from a sticky prices model, without making assumptions regarding the production function firms face. I ...
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0answers
26 views

Derive optimal wage in New Keynesian-Calvo wage stickiness

Following Costa, 2016 in page 96, developing the labor variety optimal wage decided by the household, the FOC is: $$0=E_t\sum_{i=0}^\infty(\beta\theta_w)^{t+i}\left\{\psi_W\left[L_{t+i}\left(\frac{W_{...
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55 views

Stochastic Ak model

$$V^*(A_0,K_0)=max\sum\beta\sum P(A^t)\frac{c_t(A^t)^{1-\sigma}}{1-\sigma}$$ st$$ k_{t+1}(A^t)+c_t(A^t)\leq Ak_t(A^{t+1})$$ $$A_t=1+u_t$$ $$u_t=\rho u_{t-1}+e_t$$ $$c_t(A^t),k_t{t+1}(A^t)\geq 0 \...
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101 views

Social Planner problem: two period

The production function is $F(K_t,N_t)=AK_t^\alpha N_t^{1-\alpha}$ and depreciation $(\delta)$ is equal to 1. The given preferences are as follows: $$U(c_1,l_1,c_2,l_2)=\gamma log(c_1)+(1-\gamma)log(...
3
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166 views

What's the difference between Gregory Mankiw's "Macroeconomics" 4th ed. and 10th ed.?

I am planning to use Gregory Mankiw's Macroeconomics (not to be confused with his Principles of Economics) for self-studying macroeconomics, along with David Weil's Economic Growth. As you can see, ...
3
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0answers
46 views

Calvo Price setting in a Multi-sector NK Model

In Calstrom-Fuerst-Ghironi (2004) "Does It Matter (for Equilibrium Determinacy) What Price Index the Central Bank Targets?", they used a standard two-sector NK model, and the optimal price ...
3
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27 views

Impacts of Suspending Mortgage and Rent Payments

Recently, there has been some support for suspending rent and mortgage payments, the goal being to provide financial relief during the Covid-19 response. I'm wondering what the impacts for the ...
3
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0answers
52 views

Elasticity of substitution in leisure

This might be a very basic question, but I am a beginner in macro models. I would appreciate help with my doubt. In different papers I have read about the elasticity of labor supply or the inverse of ...
3
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0answers
25 views

How to interpret the sum of company revenues?

The introduction to the Fortune 500 states: In total, Fortune 500 companies represent two-thirds of the U.S. GDP with $13.7 trillion in revenues. I checked, and this is indeed the sum of those 500 ...
3
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0answers
163 views

Log-linearizing a non-separable utility function around the steady state

I've started reading Jordi Galí's Monetary Policy, Inflation and the Business Cycle (2nd ed., 2015). In section 2.5.2, Galí considers an example with the following non-separable period utility ...
3
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0answers
54 views

Can technical change have a negative growth rate?

Using the following nested CES function I have backed out augmentation indices $A_L$ and $A_E$. Where $A_L$ is a labour-augmenting technical change index and $A_E$ is an energy-augmenting technical ...
3
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1answer
159 views

Use Lag Operator to find Lifetime Budget Constraint

The budget constraint is $c_t + \tau_t + s_{t+1} =w_t(1-l_t) +(1+r_t)s_t$ And assume $\underset{t \longrightarrow \infty}{lim} \ \displaystyle{\frac{s_t}{\Pi_{i=1}^{t-1} (1+r_i)}} = 0$ Lag ...
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675 views

Market clearing condition with Walras law

I have a diamond overlapping model The question is as follows Let us consider an infinitely lived production economy populated at time t by $N_t$ identical and perfectly competitive adult ...
3
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0answers
100 views

Does Economic Growth Lead to Inflation?

As an answer to this question, it was stated that Economists believe that higher growth rates tend to also mean higher inflation rates. As a non macro-economist, I am wondering if this is true? ...
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0answers
2k views

Has Trickle-Down economics ever worked?

With "trickle-down economics" on the tongue of Americans this year, I wanted to do some research. The prevailing opinion is "trickle-down economics doesn't work." I can find many resources which ...
3
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0answers
67 views

Why is money super neutral in Brunnermeier and Sannikov's I theory of money?

I'm wondering why money is super neutral in Brunnermeier and Sannikov's "I-theory of money", but is not super neutral in their 2016 AER paper "On the optimal inflation rate". In the I-theory of money,...
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0answers
613 views

How to self-study graduate level macroeconomics? Is there even a point?

As I had hoped to learn enough macroeconomic theory to get some research ideas, my goal at the beginning of this summer was to read through and complete the problems in an introductory advanced ...
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0answers
46 views

What would be the consequences of universal parity of buying power (wage value) and freedom to buy?

I've wondered about this for many, many, years..... maybe there's an answer (or several answers?) after all. As the global economy is set up, one reason a person in the US and EU can afford a nice ...
3
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0answers
333 views

Recursive assumption - Identifying exogenous monetary policy shocks

I am reading through "Monetary Policy Shocks: What Have we Learned and to What End?" and am hoping someone here can offer a bit of clarity about a claim made within about how measurement error in data ...
3
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0answers
81 views

Transportation models in economics

How would one go about modelling the effectiveness of public transportation? More specifically how does one go about comparing two transit systems in terms of their ability to move a larger numbers of ...
3
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0answers
119 views

Optimal monetary policy under commitment & FOCs

Clarida, Gali, Gertler(1999) show the optimal monetary policy problem of central bank for minimizing loss function under "Commitment" is a output gap, is a inflation rate, ~AR(1) is a supply shock. ...
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0answers
1k views

Classical Dichotomy and Money Neutrality

I have some questions on the concepts of the classical dichotomy and money neutrality: What is the difference, if any, between the concepts of classical dichotomy and money neutrality? As I ...
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0answers
150 views

Question about M.I.U. model - Walsh

I am solving practice problems in Walsh. This is from 3rd edition page 87. Question 1. I have max: $$U=\sum\beta^iU(c_{t+i},\frac{M_{t+i}}{P_{t+i}})$$ s.t. $$\omega_t=f(k_{t-1})+(1-\delta)k_{t-1}+...
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28 views

Have there been any structural changes in the market that would lead the indexes to be trading so high?

If you look at this graph of the SnP500: You will see that it is trading at levels higher than pre 08 or 99. What systemic structural changes in the market have led it to be trading so high? I think ...
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0answers
607 views

With a depreciation of real exchange rate, what happens to the trade balance equilibrium output?

Let the real exchange rate $Q=\frac{P^*e}{P}$, where $P^*$ is the 'world' price level (everything with '*' is of the 'world'), $P$ is the domestic price level, and $e =\frac{\text{Home Currency}}{\...
3
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0answers
78 views

Is $\frac{ \Delta \ \text{endogenous variable}_1 }{\Delta \ \text{endogenous variable}_2}$ well-defined ... and what is it?

When solving economic models, wec get expressions of endogenous variables (say, production $P$, or consumption $C$) in terms of parameters or exogenous variales, and we can then ask what the change in,...
3
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0answers
159 views

Kolmogorov-Forward-Equation with Entry and Exit

I'll try to ask this question in the most simplistic environment possible, so lets think about a household that can consume and save. After some cumbersome work, we have solved for the optimal savings ...
3
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0answers
40 views

Real time data map about the amount of a currency that are held in the world ?

Where can I see in real time data about the amount of a currency that is held in central banks (and maybe other significant places) ? A map would be great. I would like to know if there is an ...
3
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0answers
43 views

Research on the link of QE and increased economic activity

Im looking for good literature of quantitative easing and the effects on economic actitivty. from a modelling perspective Any empirical research? What I am thinking of, is how much of an effect ...
3
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1answer
65 views

How can the Fed enforce exit criteria if they begin yield curve control?

Over the past year, the notion yield curve control has resurfaced and appeared on FOMC minutes, decades after its last implementation. According to the Fed's introduction page: As the U.S. continued ...

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