Downloads
![Image representing the file: wp0011.pdf](/sites/default/files/output_url_files/wp0011.pdf_0.jpg)
wp0011.pdf
PDF | 330.28 KB
This paper introduces a recursive algorithm with which to generate complete and accurate budget constraints using static microsimulation models. We describe the generic algorithm and discuss and extension by which reasons for any change in the marginal effective tax rate may be explained. We derive continuous expressions for average tax rate (ATR), average marginal tax rate (AMTR), replacement rate (RR) and marginal effective tax rate (METR) schedules, expressed solely in terms of the marginal wage rate and 'virtual' income. A practical application serves to highlight the usefulness of this algorithm in fiscal policy analysis at micro level.
Authors
![Person graphic](/sites/default/files/styles/square_desktop/public/2022-06/IFS-person-graphic.png?itok=hWCtTSrz)
Alan Duncan
![Person graphic](/sites/default/files/styles/square_desktop/public/2022-06/IFS-person-graphic.png?itok=hWCtTSrz)
Graham Stark
Working Paper details
- DOI
- 10.1920/wp.ifs.2000.0011
- Publisher
- IFS
Suggested citation
Duncan, A and Stark, G. (2000). A recursive algorithm to generate piecewise linear budget contraints. London: IFS. Available at: https://ifs.org.uk/publications/recursive-algorithm-generate-piecewise-linear-budget-contraints (accessed: 30 June 2024).
More from IFS
Understand this issue
![Microphone](/sites/default/files/styles/square_desktop/public/2024-06/Microphone.jpg?itok=soM7Wvbz)
Election Special: Your questions answered
27 June 2024
![Tom Waters](/sites/default/files/styles/square_desktop/public/2024-06/tom%20waters.jpg?itok=faDtwS3F)
What is the two-child limit in benefits?
27 June 2024
![Interview](/sites/default/files/styles/square_desktop/public/2024-06/1.jpg?itok=mjderngL)
Election Special: The big issues politicians haven't spoken about
25 June 2024
Policy analysis
![Welsh town with mountains behind](/sites/default/files/styles/square_desktop/public/2024-06/Welsh-town-feature.jpg?itok=5axb5wZn)
How would the parties’ tax and spending plans affect Scotland and Wales?
28 June 2024
![Polling station](/sites/default/files/styles/square_desktop/public/2024-06/Polling-station-school.jpg?itok=uS-l6b-1)
What are the parties’ plans for benefits and taxes?
24 June 2024
![Ambulance and police car](/sites/default/files/styles/square_desktop/public/2024-06/Ambulance-and-police-car.jpg?itok=RMgHb2lX)
Main parties’ manifestos tell us little about the funding individual public services would actually receive
23 June 2024
Academic research
![Journal cover](/sites/default/files/styles/portrait/public/2024-01/Review%20of%20Economics%20and%20Statistics.jpg?itok=17sKhTtl)
Intertemporal income shifting and the taxation of business owner-managers
24 January 2024
![Working Paper Cover](/sites/default/files/styles/portrait/public/2023-11/WP202333-Insurance-redistribution-and-the-inequality-of-lifetime-income_Page_01.jpg?itok=R5jXnKQm)
Insurance, redistribution, and the inequality of lifetime income
2 November 2023
![Working paper cover](/sites/default/files/styles/portrait/public/2024-03/WP202405-The-menopause-penalty.jpg?itok=EMllthlH)
The menopause "penalty"
18 March 2024