Hello, could you please help with the below questions? Will give thumbs up to anyone who answers.

Suppose the coronavirus pandemic would have led to a wave of job destruction in the absence of gov- ernment policies such as the furlough scheme, which provided public funds for firms to retain workers and pay their wages. Consider a furlough scheme that succeeds in keeping the unemployment rate at its initial steady-state value (". One benefit of the policy is that it avoids the costs and delays in forming matches again between workers and firms after the pandemic. Consider a time when the pandemic ends, and all parameters return to their pre-pandemic values. In the absence of the furlough scheme, the unemployment rate U is now above U*. (d) Explain why the search model predicts that wages w, market tightness 0, and the job-finding rate f = m/u immediately return to their pre-pandemic values w*, 0", and f*. (e) Explain why ((y - b)u + xu + cyv) - ((y - b)u* + xu* + cyv*), where v* = 0'*, is the loss to the economy if U > U" in a period of time. Show the loss is equal to (y - 2 + cy#")(u - u"). (f) Show that the law of motion for U, implies Up - U = (1 -s - ()(u, - u"). Denote the end of the pandemic as time period 0, where Up > ( in the absence of the furlough scheme. In what follows, you may use that the equation in part (f) implies: (up - 1" ) + (un - 1") + (u2 - 1') + ...= 40 - u s+f (g) Using your answer to part (e) and the equation above, add up all the losses to the economy of starting from Up > U' in period 0. Divide your answer by the economy's steady-state annual GDP 12(1 - u")y to obtain an expression in Up - u", z/y, c. 0", and f. (h) Assume Z/y = 1/4 and c = 1/2, and the steady-state unemployment rate is 5% (U* = 0.05). Suppose in the absence of furlough, the unemployment rate would have risen to 35% (Up = 0.35). What is the model-implied benefit of the furlough policy (as % of GDP)