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Consumption, investment and life insurance under different tax regimes

Published online by Cambridge University Press:  05 December 2012

Kenneth Bruhn
Kenneth Bruhn*
Affiliation:
SEB Pension, Denmark and University of Copenhagen, Denmark
*
*Correspondence to: Kenneth Bruhn, SEB Pension, Postboks 100, DK-0900 Copenhagen C, Denmark or Kenneth Bruhn, Department of Mathematical Sciences, University of Copenhagen, Universitetsparken 5, DK-2100 Copenhagen, Denmark. E-mail: [email protected] or [email protected]
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Abstract

We study the effects of introducing taxation in classical continuous-time optimization problems with utility from consumption, bequest and retirement savings. Inspired by actual tax favoured retirement savings programs, we formulate and solve the optimization problem for various tax regimes, and compare tax effects on consumption/savings contributions, investment and purchase of life insurance under the regimes. The optimization problems have analytical solutions, which allow for easy comparison of tax effects under the different regimes. To substantiate the results we also present a numerical analysis of the results based on realistic parameter values and regimes. Based on American and Danish tax regimes we estimate the values of existing retirement saving favouring to be 1 – 2 percent of lifetime income.

Keywords

Personal financeStochastic controlPower utilityLinear taxation
Type
Papers
Information
Annals of Actuarial Science , Volume 7 , Issue 2 , September 2013 , pp. 210 - 235
Copyright
Copyright © Institute and Faculty of Actuaries 2012 

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References

Amromin, G., Huang, J., Sialm, C. (2007). The tradeoff between mortgage prepayments and Tax-deferred retirement savings. Journal of Public Economics, 91(10), 2014–2040.CrossRefGoogle Scholar
Antolín, P., de Serres, A., de la Maisonneuve, C. (2004). Long-term budgetary implications of tax-favoured retirement plans, OECD economics department working papers, OECD Publishing.Google Scholar
Bernheim, B.D. (1991). How strong are bequest motives? evidence based on estimates of the demand for life insurance and annuities. Journal of Political Economy, 99(5), 899–927.Google Scholar
Börsch-Supan, A., Reil-Held, A., Schunk, D. (2008). Saving incentives, old-age provision and displacement effects: evidence from the recent german pension reform. Journal of Pension Economics and Finance, 7(03), 295–319.Google Scholar
Bruhn, K., Steffensen, M. (2011). Household consumption, investment and life insurance. Insurance: Mathematics and Economics, 48(3), 315–325.Google Scholar
Caminada, K., Goudswaard, K. (2004). The Fiscal Subsidy on Pension Savings in the Netherlands. Tax Notes International, Vol. 33, No. 13, 2004.Google Scholar
Cocco, J.F., Gomes, F.J., Maenhout, P.J. (2005). Consumption and portfolio choice over the life cycle. Review of Financial Studies, 18, 491–533(43).Google Scholar
Corneo, G., Keese, M., Schröder, C. (2008). Can governments boost voluntary retirement savings via tax incentives and subsidies? A German case study for low-income households, Technical report.Google Scholar
Dammon, R.M., Spatt, C.S., Zhang, H.H. (2001). Optimal Consumption and Investment with Capital Gains Taxes. Review of Financial Studies, 14, 583–616.Google Scholar
Gale, W.G., Orszag, P.R., Gruber, J. (2006). Improving Opportunities and Incentives for Saving by Middle- and Low-Income Households, PATH TO PROSPERITY, pp. 93–124, Jason Furman, Jason E. Bordoff, eds., Brookings Institution Press 2008.Google Scholar
Hong, J.H., Ríos-Rull, J.-V. (2012). Life Insurance and Household Consumption, forthcoming in American Economic Review.CrossRefGoogle Scholar
Huang, H., Milevsky, M.A. (2008). Portfolio Choice and Mortality-Contingent Claims: The General HARA Case. Journal of Banking and Finance, 32(11), 2444–2452.Google Scholar
Jappelli, T., Pistaferri, L. (2003). Tax incentives and the demand for life insurance: evidence from Italy. Journal of Public Economics, 87(7–8), 1779–1799.Google Scholar
Kraft, H., Marekwica, M., Munk, C. (2010). Asset Allocation Over the Life Cycle: How Much do Taxes Matter?, SSRN eLibrary.Google Scholar
Kraft, H., Steffensen, M. (2008). Optimal Consumption and Insurance: A Continuous-Time Markov Chain Approach. Astin Bulletin, 28, 231–257.CrossRefGoogle Scholar
Kwak, M., Shin, Y.H., Choi, U.J. (2011). Optimal investment and consumption decision of a family with life insurance. Insurance: Mathematics and Economics, 48(2), 176–188.Google Scholar
Mendoza, E.G., Razin, A., Tesar, L.L. (1994). Effective tax rates in macroeconomics: Cross-country estimates of tax rates on factor incomes and consumption. Journal of Monetary Economics, 34(3), 297–323.CrossRefGoogle Scholar
Munk, C., Sørensen, C., Vinther, T. (2004). Dynamic asset allocation under mean-reverting returns, stochastic interest rates and inflation uncertainty: Are popular recommendations consistent with rational behavior? International Review of Economics & Finance, 13(2), 141–166.Google Scholar
Pliska, S.R., Ye, J. (2007). Optimal life insurance purchase and consumption/investment under uncertain lifetime. Journal of Banking & Finance, 31(5), 1307–1319.CrossRefGoogle Scholar
Richard, S.F. (1975). Optimal consumption, portfolio and life insurance rules for an uncertain lived individual in a continuous time model. Journal of Financial Economics, 2(2), 187–203.Google Scholar
Sauter, N., Walliser, J., Winter, J. (2010) Tax Incentives, bequest motives, and the demand for life insurance: Evidence from two natural experiments in germany, Technical report.Google Scholar
Seifried, F. (2010). Optimal investment with deferred capital gains taxes. Mathematical Methods of Operations Research, 71, 181–199.CrossRefGoogle Scholar
Sweeting, P. (2009). Tax-efficient pension choices in the UK. Annals of Actuarial Science, 4(2), 177–197.Google Scholar
Trabandt, M., Uhlig, H. (2009). How far are we from the slippery slope? the laffer curve revisited, Working Paper 15343, National Bureau of Economic Research.Google Scholar
Yoo, K-Y., de Serres, A. (2004). Tax treatment of private pension savings in OECD countries and the net tax cost per unit of contribution to tax-favoured schemes, OECD economics department working papers, OECD Publishing.CrossRefGoogle Scholar