Tag Archives: stanford代写

公共经济学|Public Economics代写ECON 242代考

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这是一份stanford斯坦福大学ECON 242作业代写的成功案

公共经济学|Public Economics代写ECON 242代考
问题 1.

The consumer faces the following period-by-period budget constraint:
$$
A_{t+1}=\left(1+r_{t}\right)\left(A_{t}+y_{t}+w_{t} n_{t}-c_{t}\right)
$$
The Bellman equation for the problem is:
$$
V\left(A_{t}\right)=\max u\left(c_{t}, n_{t}\right)+\beta V\left(\left(1+r_{t}\right)\left(A_{t}+y_{t}+w_{t} n_{t}-c_{t}\right)\right)
$$

证明 .

The $\mathrm{FOCs}$ for the problem read:
$$
\begin{aligned}
\lambda_{t} &=\beta\left(1+r_{t}\right) V_{t+1}^{\prime}\left(A_{t+1}\right) \
u_{n}\left(c_{t}, n_{t}\right) &=w \lambda_{t}
\end{aligned}
$$
By envelope $\lambda_{t}=V^{\prime}\left(A_{t}\right)$. Therefore, the conditions become:
$$
\begin{aligned}
\lambda_{t} &=\beta\left(1+r_{t}\right) V_{t+1}^{\prime}\left(\lambda_{t+1}\right) \
u_{n}\left(c_{t}, n_{t}\right) &=\lambda_{t} w_{t}
\end{aligned}
$$

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ECON 242COURSE NOTES ：

The Lagrangian for the problem reads:
$$
L=[u(z-T(z))+\lambda T(z)] h(z)
$$
Where $\lambda$ is constant across individuals and measures the value of government revenues in equilibrium. The optimal choice of $T(z)$ delivers the following first order condition:
$$
\frac{\partial L}{\partial T(z)}=\left[-u^{\prime}(z-T(z))+\lambda\right] h(z)=0
$$
Rearranging:
$$
u^{\prime}(z-T(z))=\lambda
$$



环境政策与经济学| Environmental Policy and Economics代写ENVS 25代考

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这是一份ucsc圣克鲁斯加利福尼亚大学ENVS 25作业代写的成功案

环境政策与经济学| Environmental Policy and Economics代写ENVS 25代考
问题 1.

$$
z_{t}=g\left(\mu_{t}\right) y_{t}
$$
This specification of pollution and abatement comes from the DICE model (Nordhaus 2008).
In Angelopoulos et. al (2010), emissions are also a byproduct of production. The pollution abatement technology varies (i.e. the ratio of emissions to output is not fixed), but the change in this technology is stochastic, not endogenous. The pollution flow ( $\left.p_{t}\right)$ is modeled as

证明 .

where $\phi_{t}$ is a stochastic, exogenous variable representing pollution technology. The flow of pollution affects the stock of environmental quality $\left(Q_{t}\right)$ according to
$$
Q_{t+1}=\left(1-\delta^{q}\right) \bar{Q}+\delta^{q} Q_{t}-p_{t}+v g_{t^{*}}
$$

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ENVS 25COURSE NOTES ：

$$
F\left(K_{t}, M_{t}, L_{t}\right)=K_{t}^{\alpha} M_{t}^{\gamma} L_{t}^{1-\alpha-\gamma}
$$
The intermediate input is $M_{l}$, and its share of total factor inputs is given by the standard Cobb-
Douglas solution:
$$
\frac{M_{t}}{Y_{t}}=\frac{\gamma\left(1+\hat{\phi}{t} A{t, Y}\right)}{1+\hat{\phi}_{t}}
$$



公共财政与公共政策| Public Finance and Public Policy 代写ECON 141代考

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这是一份stanford斯坦福大学学院ECON 141作业代写的成功案

公共财政与公共政策| Public Finance and Public Policy 代写ECON 141代考
问题 1.

Alternatively, one could normalize on some standard private good. To illustrate, consider A’s budget constraint with an earnings tax and a pair of net commodity taxes, as discussed earlier:
$$
\left(1+t n_{x}\right) x_{A}+\left(1+t n_{y}\right) y_{A}=\left(1-\tau_{A}\right) w_{A} l_{A}-\operatorname{Tan}_{A} .
$$

证明 .

Suppose we were to take good $X$ as numeraire. Then the normalized budget constraint would be
$$
x_{A}+\frac{1+t n_{y}}{1+t n_{x}} y_{A}=\frac{1-\tau_{A}}{1+t n_{x}} w_{A} l_{A}-\frac{\operatorname{Tan}{A}}{1+t n{x}} .
$$

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ECON 141 COURSE NOTES ：

$$
x_{A}+\left(1+\operatorname{tn}{y}^{x}\right) y{A}=\left(1-\tau_{A}^{x}\right) w_{A} l_{A}-\operatorname{Tan}{A}^{x} \text {, } $$ where $$ t n{y}^{x} \equiv \frac{1+t n_{y}}{1+t n_{x}}-1,
$$
$$
\tau_{A}^{x} \equiv 1-\frac{1-\tau_{A}}{1+t n_{x}},
$$
$$
\operatorname{Tan}{A}^{x} \equiv \frac{\operatorname{Tan}{A}}{1+t n_{x}} .
$$



非参数统计 | Nonparametric Statistics代写 STATS205代考

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这是一份stanford斯坦福大学 STATS205作业代写的成功案

非参数统计 | Nonparametric Statistics代写 STATS205代考
问题 1.

\begin{aligned}
r(x) & \equiv \mathbb{E}(Y \mid X=x)=b(\theta(x)) \
\sigma^{2}(x) & \equiv \mathbb{V}(Y \mid X=x)=a(\phi) b^{\prime \prime}(\theta(x))
\end{aligned}


证明 .

The usual parametric form of this model is
$$
g(r(x))=x^{T} \beta
$$

.

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STATS205 COURSE NOTES ：


For example, if $Y$ given $X=x$ is Binomial $(m, r(x))$ then
$$
f(y \mid x)=\left(\begin{array}{c}
m \
y
\end{array}\right) r(x)^{y}(1-r(x))^{m-y}
$$
which has the form (5.111) with
$$
\theta(x)=\log \frac{r(x)}{1-r(x)}, \quad b(\theta)=m \log \left(1+e^{\theta}\right)
$$