1. Ahn, D. H., Boudoukh, J., Richardson, M., & Whitelaw, R. F. (1999). Optimal risk management using options. The Journal of Finance, 54(1), 359-375. [
DOI:10.1111/0022-1082.00108]
2. Ai, H., Li, J. E., Li, K., & Schlag, C. (2020). The collateralizability premium. The Review of Financial Studies, 33(12), 5821-5855. [
DOI:10.1093/rfs/hhaa063]
3. Becker, M., & Löffler, A. (2024). Arbitrage and non-linear taxes. Review of Managerial Science, 18(12), 3487-3514. [
DOI:10.1007/s11846-023-00721-1]
4. Campbell, R., Huisman, R., & Koedijk, K. (2001). Optimal portfolio selection in a Value-at-Risk framework. Journal of Banking & Finance, 25(9), 1789-1804. [
DOI:10.1016/S0378-4266(00)00160-6]
5. Cetingoz, A. R., Fermanian, J. D., & Guéant, O. (2022). Stochastic Algorithms for Advanced Risk Budgeting (No. hal-03857964). HAL.
6. Dou, W. W., Fang, X., Lo, A. W., & Uhlig, H. (2023). Macro-finance models with nonlinear dynamics. Annual Review of Financial Economics, 15(1), 407-432. [
DOI:10.1146/annurev-financial-110921-112053]
7. Graham, J. R., & Smith, C. W. (1999). Tax incentives to hedge. The Journal of Finance, 54(6), 2241-2262. [
DOI:10.1111/0022-1082.00187]
8. Horan, S. M. (2007). Applying after-tax asset allocation. The Journal of Wealth Management, 10(2), 84. [
DOI:10.3905/jwm.2007.690951]
9. Lei, A. C., Yick, M. H., & Lam, K. S. (2013). Does tax convexity matter for risk? A dynamic study of tax asymmetry and equity beta. Review of Quantitative Finance and Accounting, 41(1), 131-147. [
DOI:10.1007/s11156-012-0303-2]
10. Lei, A. C., Yick, M. H., & Lam, K. S. (2014). The effects of tax convexity on default and investment decisions. Applied Economics, 46(11), 1267-1278. [
DOI:10.1080/00036846.2013.870653]
11. Leibowitz, M. L., & Kogelman, S. (1991). Asset allocation under shortfall constraints. Risk, 3(2), 5. [
DOI:10.3905/jpm.1991.409309]
12. Maillard S, Roncalli T, Teıletche J (2010). On the properties of equally weighted risk contribution portfolios.The Journal of Portfolio Management 36(4):60-70. [
DOI:10.3905/jpm.2010.36.4.060]
13. Merton, R. (1969). Lifetime portfolio selection under uncertainty: the continuous-time case. Review of Economics and Statistics 51 (3), 247-25 [
DOI:10.2307/1926560]
14. Merton, R. (1971). Optimum consumption and portfolio rules in a continuous-time model. Journal of Economic Theory 3, 373-413. (Cited on page 2) [
DOI:10.1016/0022-0531(71)90038-X]
15. Mossin, J. (1968). Optimal multi-period portfolio policies. Journal of Business 41 (2), 215-229. [
DOI:10.1086/295078]
16. Pesenti, S. M., Jaimungal, S., Saporito, Y. F., & Targino, R. S. (2025). Risk budgeting allocation for dynamic risk measures. Operations Research, 73(3), 1208-1229., Cornel University, arXiv:2305.11319 and SSRN.4452742 [
DOI:10.1287/opre.2023.0299]
17. Qian E (2005). Risk parity portfolios: Efficient portfolios through true diversification. Panagora Asset Management.
18. Qian E (2011). Risk parity and diversification. The Journal of Investing 20(1):119-127 [
DOI:10.3905/joi.2011.20.1.119]
19. Reichenstein, W. (2001). Rethinking the Family's Asset Allocation. Journal of Financial Planning, 14(5).
20. Richard, J. C., & Roncalli, T. (2019). Constrained risk budgeting portfolios: Theory, algorithms, applications & puzzles. arXiv preprint arXiv:1902.05710. [
DOI:10.2139/ssrn.3331184]
21. Roncalli, T. (2013). Introduction to risk parity and budgeting. CRC press. [
DOI:10.2139/ssrn.2272973]
22. Roncalli, T., & Weisang, G. (2016). Risk parity portfolios with risk factors. Quantitative Finance, 16(3), 377-388. [
DOI:10.1080/14697688.2015.1046907]
23. Roy, A. D. (1952). Safety first and the holding of assets. Econometrica: Journal of the econometric society, 431-449. [
DOI:10.2307/1907413]
24. Samuelson, P. (1969). Lifetime portfolio selection by dynamic stochastic programming. Review of Economics and Statistics 51, 239-46 [
DOI:10.2307/1926559]
25. Sarkar, S. (2008). Can tax convexity be ignored in corporate financing decisions?. Journal of Banking & Finance, 32(7), 1310-1321. [
DOI:10.1016/j.jbankfin.2007.11.007]
26. Smith, C. W., & Stulz, R. M. (1985). The determinants of firms' hedging policies. Journal of financial and quantitative analysis, 20(4), 391-405. [
DOI:10.2307/2330757]
27. Strassberger, M. (2006). Capital Requirement, Portfolio Risk Insurance, and Dynamic Risk Budgeting. Investment Management and Financial Innovations [
DOI:10.2139/ssrn.672302]
28. Unger, A. (2014). The use of risk budgets in portfolio optimization. Springer. [
DOI:10.1007/978-3-658-07259-9]
29. Ahn, D. H., Boudoukh, J., Richardson, M., & Whitelaw, R. F. (1999). Optimal risk management using options. The Journal of Finance, 54(1), 359-375. [
DOI:10.1111/0022-1082.00108]
30. Ai, H., Li, J. E., Li, K., & Schlag, C. (2020). The collateralizability premium. The Review of Financial Studies, 33(12), 5821-5855. [
DOI:10.1093/rfs/hhaa063]
31. Becker, M., & Löffler, A. (2024). Arbitrage and non-linear taxes. Review of Managerial Science, 18(12), 3487-3514. [
DOI:10.1007/s11846-023-00721-1]
32. Campbell, R., Huisman, R., & Koedijk, K. (2001). Optimal portfolio selection in a Value-at-Risk framework. Journal of Banking & Finance, 25(9), 1789-1804. [
DOI:10.1016/S0378-4266(00)00160-6]
33. Cetingoz, A. R., Fermanian, J. D., & Guéant, O. (2022). Stochastic Algorithms for Advanced Risk Budgeting (No. hal-03857964). HAL.
34. Dou, W. W., Fang, X., Lo, A. W., & Uhlig, H. (2023). Macro-finance models with nonlinear dynamics. Annual Review of Financial Economics, 15(1), 407-432. [
DOI:10.1146/annurev-financial-110921-112053]
35. Graham, J. R., & Smith, C. W. (1999). Tax incentives to hedge. The Journal of Finance, 54(6), 2241-2262. [
DOI:10.1111/0022-1082.00187]
36. Horan, S. M. (2007). Applying after-tax asset allocation. The Journal of Wealth Management, 10(2), 84. [
DOI:10.3905/jwm.2007.690951]
37. Lei, A. C., Yick, M. H., & Lam, K. S. (2013). Does tax convexity matter for risk? A dynamic study of tax asymmetry and equity beta. Review of Quantitative Finance and Accounting, 41(1), 131-147. [
DOI:10.1007/s11156-012-0303-2]
38. Lei, A. C., Yick, M. H., & Lam, K. S. (2014). The effects of tax convexity on default and investment decisions. Applied Economics, 46(11), 1267-1278. [
DOI:10.1080/00036846.2013.870653]
39. Leibowitz, M. L., & Kogelman, S. (1991). Asset allocation under shortfall constraints. Risk, 3(2), 5. [
DOI:10.3905/jpm.1991.409309]
40. Maillard S, Roncalli T, Teıletche J (2010). On the properties of equally weighted risk contribution portfolios.The Journal of Portfolio Management 36(4):60-70. [
DOI:10.3905/jpm.2010.36.4.060]
41. Merton, R. (1969). Lifetime portfolio selection under uncertainty: the continuous-time case. Review of Economics and Statistics 51 (3), 247-25 [
DOI:10.2307/1926560]
42. Merton, R. (1971). Optimum consumption and portfolio rules in a continuous-time model. Journal of Economic Theory 3, 373-413. (Cited on page 2) [
DOI:10.1016/0022-0531(71)90038-X]
43. Mossin, J. (1968). Optimal multi-period portfolio policies. Journal of Business 41 (2), 215-229. [
DOI:10.1086/295078]
44. Pesenti, S. M., Jaimungal, S., Saporito, Y. F., & Targino, R. S. (2025). Risk budgeting allocation for dynamic risk measures. Operations Research, 73(3), 1208-1229., Cornel University, arXiv:2305.11319 and SSRN.4452742 [
DOI:10.1287/opre.2023.0299]
45. Qian E (2005). Risk parity portfolios: Efficient portfolios through true diversification. Panagora Asset Management.
46. Qian E (2011). Risk parity and diversification. The Journal of Investing 20(1):119-127 [
DOI:10.3905/joi.2011.20.1.119]
47. Reichenstein, W. (2001). Rethinking the Family's Asset Allocation. Journal of Financial Planning, 14(5).
48. Richard, J. C., & Roncalli, T. (2019). Constrained risk budgeting portfolios: Theory, algorithms, applications & puzzles. arXiv preprint arXiv:1902.05710. [
DOI:10.2139/ssrn.3331184]
49. Roncalli, T. (2013). Introduction to risk parity and budgeting. CRC press. [
DOI:10.2139/ssrn.2272973]
50. Roncalli, T., & Weisang, G. (2016). Risk parity portfolios with risk factors. Quantitative Finance, 16(3), 377-388. [
DOI:10.1080/14697688.2015.1046907]
51. Roy, A. D. (1952). Safety first and the holding of assets. Econometrica: Journal of the econometric society, 431-449. [
DOI:10.2307/1907413]
52. Samuelson, P. (1969). Lifetime portfolio selection by dynamic stochastic programming. Review of Economics and Statistics 51, 239-46 [
DOI:10.2307/1926559]
53. Sarkar, S. (2008). Can tax convexity be ignored in corporate financing decisions?. Journal of Banking & Finance, 32(7), 1310-1321. [
DOI:10.1016/j.jbankfin.2007.11.007]
54. Smith, C. W., & Stulz, R. M. (1985). The determinants of firms' hedging policies. Journal of financial and quantitative analysis, 20(4), 391-405. [
DOI:10.2307/2330757]
55. Strassberger, M. (2006). Capital Requirement, Portfolio Risk Insurance, and Dynamic Risk Budgeting. Investment Management and Financial Innovations [
DOI:10.2139/ssrn.672302]
56. Unger, A. (2014). The use of risk budgets in portfolio optimization. Springer. [
DOI:10.1007/978-3-658-07259-9]