def retirementChoiceSolver(solution_tp1,income_distrib,p_zero_income,survival_prob,beta,rho,R,Gamma,constrained,a_grid,calc_vFunc,cubic_splines,solution_retired):
'''
Solves one period of an infinite horizon retirement choice problem.
'''
# Solve the period when we're working
solution_working = consumptionSavingSolverENDG(solution_tp1,income_distrib,p_zero_income,survival_prob,beta,rho,R,Gamma,constrained,a_grid,calc_vFunc,cubic_splines)
# Determine which choice is best at "infinity"
large_m = 1000.0*np.max(a_grid)
v_check = np.asarray([solution_working.vFunc(large_m),solution_retired.vFunc(large_m)])
v_best = np.argmax(v_check)
# Construct and return the solution for this period
vFunc = [solution_working.vFunc,solution_retired.vFunc]
vPfunc = [solution_working.vPfunc,solution_retired.vPfunc]
solution_t = DiscreteChoiceSolution(vFunc,vPfunc)
solution_t.cFunc = [solution_working.cFunc,solution_retired.cFunc]
solution_t.m_underbar = 0
solution_t.kappa_max = np.min(solution_working.kappa_max,solution_retired.kappa_max)
if v_best < -1:
solution_t.kappa_min = solution_working.kappa_min
solution_t.gothic_h = solution_working.gothic_h
else:
solution_t.kappa_min = solution_retired.kappa_min
solution_t.gothic_h = solution_retired.gothic_h
solution_t.v_lim_slope = solution_t.kappa_min**(-rho/(1.0-rho))
solution_t.v_lim_intercept = solution_t.gothic_h*solution_t.v_lim_slope
return solution_t
def preSolve(self):
'''
Before using time iteration, the retired solution can be found in closed
form. It is stored here in scaled form, then unscaled in postSolve.
'''
self.value_scale = (1.0-self.labor_supply)**(self.alpha*(1.0-self.rho))
temp_beta = self.survival_prob*self.beta
kappa_PF = 1.0 - (self.R*temp_beta)**(1.0/self.rho)/self.R
cFunc_retired = lambda m : kappa_PF*m
vPfunc_retired = lambda m : CRRAutilityP(m,gam=self.rho)/self.value_scale
vFunc_retired = lambda m: CRRAutility(kappa_PF**(-self.rho/(1.0-self.rho))*m,gam=self.rho)/self.value_scale
solution_retired = DiscreteChoiceSolution(vFunc_retired,vPfunc_retired)
solution_retired.cFunc = cFunc_retired
solution_retired.kappa_min = kappa_PF
solution_retired.kappa_max = kappa_PF
solution_retired.gothic_h = 0.0
self.solution_retired = solution_retired
self.updateSolutionTerminal()
def incomeInsuranceSolver(solution_tp1,income_distrib,p_zero_income,survival_prob,beta,rho,R,Gamma,constrained,a_grid,calc_vFunc,cubic_splines):
'''
Need to write a real description here.
'''
# Solve for optimal consumption in an ordinary period and when income shock insurance is purchased
solution_regular = consumptionSavingSolverENDG(solution_tp1,income_distrib,p_zero_income,survival_prob,beta,rho,R,Gamma,constrained,a_grid,calc_vFunc,cubic_splines)
solution_insured = consumptionSavingSolverENDG(solution_tp1,insured_income_dist,0.0,survival_prob,beta,rho,R,Gamma-premium,constrained,a_grid,calc_vFunc,cubic_splines)
# Construct the solution for this phase
vFunc = [solution_regular.vFunc, solution_insured.vFunc]
vPfunc = [solution_regular.vPfunc, solution_insured.vPfunc]
cFunc = [solution_regular.cFunc, solution_insured.cFunc]
solution_t = DiscreteChoiceSolution(vFunc,vPfunc)
solution_t.cFunc = cFunc
# Add the "pass through" attributes to the solution and report it
other_attributes = [key for key in solution_regular.__dict__]
other_attributes.remove('vFunc')
other_attributes.remove('vPfunc')
other_attributes.remove('cFunc')
for name in other_attributes:
do_string = 'solution_t.' + name + ' = solution_regular.' + name
exec(do_string)
return solution_t
def occupationalChoiceSolver(solution_tp1,income_distrib,p_zero_income,survival_prob,beta,rho,R,Gamma,constrained,a_grid,calc_vFunc,cubic_splines):
'''
Need to write a real description here.
'''
# Initialize lists to hold the solution for each occupation
vFunc = []
vPfunc = []
cFunc = []
m_underbar = []
gothic_h = []
kappa_min = []
kappa_max = []
v_check = []
# Solve the consumption-saving problem for each possible occupation
job_count = len(Gamma)
large_m = 100.0*np.max(a_grid)
for j in range(job_count):
solution_temp = consumptionSavingSolverENDG(solution_tp1,income_distrib[j],p_zero_income[j],survival_prob,beta,rho,R,Gamma[j],constrained,a_grid,calc_vFunc,cubic_splines)
vFunc.append(deepcopy(solution_temp.vFunc))
vPfunc.append(deepcopy(solution_temp.vPfunc))
cFunc.append(deepcopy(solution_temp.cFunc))
m_underbar.append(solution_temp.m_underbar)
gothic_h.append(solution_temp.gothic_h)
kappa_min.append(solution_temp.kappa_min)
kappa_max.append(solution_temp.kappa_max)
v_check.append(solution_temp.vFunc(large_m))
# Find the best job at "infinity" resources
v_check = np.asarray(v_check)
v_best = np.argmax(v_check)
# Construct the solution for this phase
solution_t = DiscreteChoiceSolution(vFunc,vPfunc)
solution_t.cFunc = cFunc
solution_t.m_underbar = np.max(m_underbar)
solution_t.kappa_min = kappa_min[v_best]
solution_t.kappa_max = np.min(kappa_max)
solution_t.gothic_h = gothic_h[v_best]
solution_t.v_lim_slope = solution_t.kappa_min**(-rho/(1.0-rho))
solution_t.v_lim_intercept = solution_t.gothic_h*solution_t.v_lim_slope
return solution_t