这是一份manchester曼切斯特大学ECON30102T作业代写的成功案例

$$
r J_{F}^{i}\left(\theta_{t}\right)=(p-w)-\delta\left[J_{F}^{i}\left(\theta_{t}\right)-J_{V}^{i}\left(\theta_{t}\right)\right]+\pi\left[J_{F}^{j}\left(\theta_{t}\right)-J_{F}^{i}\left(\theta_{t}\right)\right]
$$
While the instantaneous cost of a vacant job will be influenced by aggregate shock, the wage and productivity are constant through the cycle. Under free entry $J_{V}^{i}=J_{V}^{j}=0$, the payoff to a filled job can be solved from :
$$
J_{F}^{i}=J_{F}^{j}=\frac{p-w}{r+s}
$$
Then, from (1), the equilibrium job creation conditions, which will underpin market tightness, are given by:
$q\left(\theta_{t}\right)=\frac{k^{i}(\delta+r)}{p-w}$, where $i \in{G, B}$

ECON30102T COURSE NOTES ：

$$
W_{1}^{G}-W_{1}^{B}=\frac{\delta\left[\left(W_{1}^{B}-Z_{1}^{B}\right)-\left(W_{1}^{G}-Z_{1}^{G}\right)\right]}{r+2 \pi}
$$
States that the state premium of an employed worker is a proportion of the capital gains from job separation in two states. Similarly, the state premium of an unemployed worker can be found by subtracting:
$$
Z_{1}^{G}-Z_{1}^{B}=\frac{f\left(\theta^{G}\right)}{r+2 \pi}\left(W_{1}^{G}-Z_{1}^{G}\right)-\frac{f\left(\theta^{B}\right)}{r+2 \pi}\left(W_{1}^{B}-Z_{1}^{B}\right)
$$