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Paper revision simulations, 2008 Bush Stimulus Checks #18
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FanWangEcon
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- default COVID invoker has lockdown
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Paper revision simulations
Paper revision simulations, 2008 Bush Stimulus Checks
Nov 30, 2021
FanWangEcon
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1. Find P(Age) by three age groups, by simulating distribution and aggregating over age groups 2. Compute P(Age, Edu) 3. Given P(U|Age) and P(U|Edu) data, and P(Age, Edu) solve for P(U|Age, Edu) given rectilinear restriction using R4Econ Function
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Given P(U|Age, Edu) in 2009, given unemploymnet duration parameter xi=0.532, solve for the b parameter, the share of lost income recovred by unemployment UI benefits. We know total wage income spent on UI 2.1 percent in 2009. So: 1. we find total wage income given xi and unemployment probabilities in 2009 2. We multiply (1) by 0.021 to get total spending on UI 3. We divide (2) by lost income due to unemployment given xi and unemployment probability by age and education to find b.
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Given unemployment P(U|Age, Edu), Integrate EV2009 given unemployment uncertainty, and solve 2008 policy and value given expected unemployment possibility. Note no stimulus received in 2009. Due to expected shock, households consume less and save more in 2008 than under steady-state.
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- Adjust the asset state to be equivalent to the stimulus change, using the SNW_A4CHK_WRK_BISEC_VEC function. - Adjust SNW_A4CHK_WRK_BISEC_VEC function so that it takes in 2008 V and C matrixes pre-stored, rather than just the 2020 matrixies With this structure, the 2008 V and C problem (with stimulus = 0) only needs to be solved once, and then via this function, more quickly the V anc C given different stimulus amounts is found.
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THe 2019 and 2007 problems share the same function, have the same idea, which is to solve for the expected value of V and C in 2008 and 2020 from the perspective of 2007 and 2019, where the planner's observable information come from. There was an older slower function that vignette was based on. Updated to FOC based function for the 2019 problem, and added new 2007 tester. Minimal changes to the SNW_EVUVW19_JMKY problem, which averages over JAEEMK states for JMKY states, which are observable to the planner. No separate 07 tester for the JMKY function, since 07 and 19 calls are identical.
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bush checks steps: 1. solve for steady-state 2. solve for unemployed state in 2009 given xi and b for 2009 3. solve for 2008 v and policy given 2009 unemployment uncertainty 4. adjust the asset state based on value and consumption from (3) to see the effect of stimulus checks on 2008 v and c 5. take expectation over JAEEMK (age, savings, education, income shock, marital, kids) over 2008 conditional on 2007, and then integerate in 2007 conditional on JMKY Bush stimulus problem is faster than biden stimulus problem because the stimulus checks are evaluated in 2008 given V and C in 2008. For the Biden and Trump stimulus problems, stimulus is given ex-post of shock realization to both individuals with and without unemployment shocks, so have to evaluate stimulus effects for both employed and unmployed type households.
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code in bush check parameters - xi and b - social security - unemployment probability (coded in the 08 expectation functions) - median income normalizer Note that the 2006 and 2018 steady-state assumed to be the same.
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- given 2008 tax schedule, compute taxable income based on tax, kids count, and marital status - given taxable income, using 2008 tax policy, various deductibles etc, compute the tax liability - single formula for stimulus-checks as a function of tax liability and income.
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