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ON COMPLEX ECONOMIC SCENARIO GENERATORS: IS LESS MORE?

Published online by Cambridge University Press:  18 August 2021

Jean-François Bégin*
Affiliation:
Department of Statistics and Actuarial Science, Simon Fraser University, 8888 University Drive, Burnaby, British Columbia V5A 1S6, Canada, E-Mail: jbegin@sfu.ca
*
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Abstract

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This article proposes a complex economic scenario generator that nests versions of well-known actuarial frameworks. The generator estimation relies on the Bayesian paradigm and accounts for both model and parameter uncertainty via Markov chain Monte Carlo methods. So, to the question is less more?, we answer maybe, but it depends on your criteria. From an in-sample fit perspective, on the one hand, a complex economic scenario generator seems better. From the conservatism, forecasting and coverage perspectives, on the other hand, the situation is less clear: having more complex models for the short rate, term structure and stock index returns is clearly beneficial. However, that is not the case for inflation and the dividend yield.

Type
Research Article
Creative Commons
Creative Common License - CCCreative Common License - BYCreative Common License - NCCreative Common License - ND
This is an Open Access article, distributed under the terms of the Creative Commons Attribution-NonCommercial-NoDerivatives licence (http://creativecommons.org/licenses/by-nc-nd/4.0/), which permits non-commercial re-use, distribution, and reproduction in any medium, provided the original work is unaltered and is properly cited. The written permission of Cambridge University Press must be obtained for commercial re-use or in order to create a derivative work.
Copyright
© The Author(s), 2021. Published by Cambridge University Press on behalf of The International Actuarial Association

References

Ahlgrim, K.C., D’Arcy, S.P. and Gorvett, R.W. (2005) Modeling financial scenarios: A framework for the actuarial profession. Proceedings of the Casualty Actuarial Society, vol. 92, pp. 177–238. Arlington, VA, USA: Casualty Actuarial Society.Google Scholar
Akaike, H. (1974) A new look at the statistical model identification. IEEE Transactions on Automatic C, 19(6), 716723.CrossRefGoogle Scholar
Bégin, J.-F. (2016) Deflation risk and implications for life insurers. Risks, 4(4), 46.CrossRefGoogle Scholar
Bégin, J.-F. (2019) Economic scenario generator and parameter uncertainty: A Bayesian approach. ASTIN Bulletin, 49(2), 335372.CrossRefGoogle Scholar
Bégin, J.-F. (2020) Levelling the playing field: A VIX-linked structure for funded pension schemes. Insurance: Mathematics and Economics, 94, 5878.Google Scholar
Bégin, J.-F. and Boudreault, M. (forthcoming) Do jumps matter in the long term? A tale of two horizons. North American Actuarial Journal.Google Scholar
Bernardo, J.M. and Smith, A.F. (2001) Bayesian Theory. New York, NY, USA: Wiley.Google Scholar
Black, F. (1976). Studies of stock price volatility changes. Proceedings of the 1976 Meeting of the American Statistical Association, Business and Economic Statistics Section, pp. 177–181. Washington, DC, USA: American Statistical Association.Google Scholar
Black, F. and Scholes, M. (1973) The pricing of options and corporate liabilities. Journal of Political Economy, 81(3), 637654.CrossRefGoogle Scholar
Bollerslev, T. (1986) Generalized autoregressive conditional heteroskedasticity. Journal of Econometrics, 31(3), 307327.CrossRefGoogle Scholar
Brigo, D. and Mercurio, F. (2007) Interest Rate Models—Theory and Practice: With Smile, Inflation and Credit. Berlin, Germany: Springer.Google Scholar
Cairns, A.J. (2000) A discussion of parameter and model uncertainty in insurance. Insurance: Mathematics and Economics, 27(3), 313330.Google Scholar
Campbell, J.Y., Lo, A.W. and MacKinlay, A.C. (1997) The Econometrics of Financial Markets. Princeton, NJ, USA: Princeton University Press.CrossRefGoogle Scholar
Campbell, J.Y. and Viceira, L.M. (2002) Strategic Asset Allocation: Portfolio Choice for Long-Term Investors. New York, NY, USA: Oxford University Press.CrossRefGoogle Scholar
Canadian Institute of Actuaries (2002) Report of the task force on segregated fund investment guarantees. Technical report, Canadian Institute of Actuaries.Google Scholar
Chan, T. (1998) Some applications of Lévy processes to stochastic investment models for actuarial use. ASTIN Bulletin, 28(1), 7793.CrossRefGoogle Scholar
Chan, W.-S. (2002) Stochastic investment modelling: A multiple time-series approach. British Actuarial Journal, 8(3), 545591.CrossRefGoogle Scholar
Chan, W.-S., Wong, A.C. and Tong, H. (2004) Some nonlinear threshold autoregressive time series models for actuarial use. North American Actuarial Journal, 8(4), 3761.CrossRefGoogle Scholar
Collins, P.J., Lam, H. and Stampfli, J. (2015) How risky is your retirement income risk model? Financial Services Review, 24(3), 193216.Google Scholar
Cox, J., Ingersoll, J. and Ross, S. (1985) A theory of the term structure of interest rates. Econometrica, 53(2), 385408.CrossRefGoogle Scholar
Cui, Z., Feng, R. and MacKay, A. (2017) Variable annuities with VIX-linked fee structure under a Heston-type stochastic volatility model. North American Actuarial Journal, 21(3), 458483.CrossRefGoogle Scholar
Duffie, D., Pan, J. and Singleton, K. (2000) Transform analysis and asset pricing for affine jump-diffusions. Econometrica, 68(6), 13431376.CrossRefGoogle Scholar
Engle, R., Roussellet, G. and Siriwardane, E. (2017) Scenario generation for long run interest rate risk assessment. Journal of Econometrics, 201(2), 333347.CrossRefGoogle Scholar
Engle, R.F. and Ng, V.K. (1993) Measuring and testing the impact of news on volatility. Journal of Finance 48(5), 17491778.CrossRefGoogle Scholar
Geoghegan, T., Clarkson, R., Feldman, K., Green, S., Kitts, A., Lavecky, J., Ross, F., Smith, W. and Toutounchi, A. (1992) Report on the Wilkie stochastic investment model. Journal of the Institute of Actuaries, 119(2), 173228.CrossRefGoogle Scholar
Gneiting, T. and Raftery, A.E. (2005) Weather forecasting with ensemble methods. Science, 310(5746), 248249.CrossRefGoogle ScholarPubMed
Graefe, A., Küchenhoff, H., Stierle, V. and Riedl, B. (2015) Limitations of ensemble Bayesian model averaging for forecasting social science problems. International Journal of Forecasting, 31(3), 943951.CrossRefGoogle Scholar
Green, P.J. (1995) Reversible jump Markov chain Monte Carlo computation and Bayesian model determination. Biometrika, 82(4), 711732.CrossRefGoogle Scholar
Haario, H., Saksman, E. and Tamminen, J. (2001) An adaptive Metropolis algorithm. Bernoulli, 7(2), 223242.CrossRefGoogle Scholar
Hamilton, J.D. (1989) A new approach to the economic analysis of nonstationary time series and the business cycle. Econometrica, 57(2), 357384.CrossRefGoogle Scholar
Hardy, M.R. (2001) A regime-switching model of long-term stock returns. North American Actuarial Journal, 5(2), 4153.CrossRefGoogle Scholar
Hartman, B.M., Richardson, R. and Bateman, R. (2017) Parameter uncertainty. Technical report, Casualty Actuarial Society, Canadian Institute of Actuaries, and Society of Actuaries Report.Google Scholar
Heston, S. (1993) A closed-form solution for options with stochastic volatility with applications to bond and currency options. Review of Financial Studies, 6(2), 327.CrossRefGoogle Scholar
Hibbert, J., Mowbray, P. and Turnbull, C. (2001) A stochastic asset model and calibration for long-term financial planning. Technical report, Barrie & Hibbert Limited.Google Scholar
Hoeting, J.A., Madigan, D., Raftery, A.E. and Volinsky, C.T. (1999) Bayesian model averaging: A tutorial. Statistical Science, 14(4), 382401.Google Scholar
Huber, P. (1997) A review of Wilkie’s stochastic asset model. British Actuarial Journal, 3(1), 181210.CrossRefGoogle Scholar
Ioannidis, C. and Kontonikas, A. (2008) The impact of monetary policy on stock prices. Journal of Policy Modeling, 30(1), 3353.CrossRefGoogle Scholar
Kilian, L. and Manganelli, S. (2007) Quantifying the risk of deflation. Journal of Money, Credit and Banking, 39(2–3), 561590.CrossRefGoogle Scholar
Lewandowski, D., Kurowicka, D. and Joe, H. (2009) Generating random correlation matrices based on vines and extended onion method. Journal of Multivariate Analysis, 100(9), 19892001.CrossRefGoogle Scholar
Litterman, R. and Scheinkman, J. (1991) Common factors affecting bond returns. Journal of Fixed Income, 1(1), 5461.CrossRefGoogle Scholar
Mishkin, F.S. (1992) Is the Fisher effect for real?: A reexamination of the relationship between inflation and interest rates. Journal of Monetary Economics, 30(2), 195215.CrossRefGoogle Scholar
Pedersen, H., Campbell, M.P., Christiansen, S.L., Cox, S.H., Finn, D., Griffin, K., Hooker, N., Lightwood, M., Sonlin, S.M. and Suchar, C. (2016) Economic scenario generators—A practical guide. Technical report, Society of Actuaries.Google Scholar
Rendleman, R.J. and Bartter, B.J. (1980) The pricing of options on debt securities. Journal of Financial and Quantitative Analysis, 15(1), 1124.CrossRefGoogle Scholar
Renne, J.-P. (2017) A model of the Euro-area yield curve with discrete policy rates. Studies in Nonlinear Dynamics & Econometrics, 21(1), 99116.Google Scholar
Şahin, Ş., Cairns, A. and Kleinow, T. (2008) Revisiting the Wilkie investment model. 18th International AFIR Colloquium, Rome, pp. 1–24.Google Scholar
Sims, C.A. (1980) Macroeconomics and reality. Econometrica, 48(1), 148.CrossRefGoogle Scholar
Sneddon, T., Zhu, Z. and O’Hare, C. (2016) Modelling defined contribution retirement outcomes: A stochastic approach using Australia as a case study. Australian Journal of Actuarial Practice, 4, 519.Google Scholar
Upton, G. and Cook, I. (2014) A Dictionary of Statistics. Oxford, UK: Oxford University Press.Google Scholar
Vasicek, O. (1977) An equilibrium characterization of the term structure. Journal of Financial Economics, 5(2), 177188.CrossRefGoogle Scholar
Whitten, S. and Thomas, R.G. (1999) A non-linear stochastic asset model for actuarial use. British Actuarial Journal, 5(5), 919953.CrossRefGoogle Scholar
Wilkie, A.D. (1986) A stochastic investment model for actuarial use. Transactions of the Faculty of Actuaries, 39, 341403.CrossRefGoogle Scholar
Wilkie, A.D. (1995) More on a stochastic asset model for actuarial use. British Actuarial Journal, 1(5), 777964.CrossRefGoogle Scholar
Zhang, S., Hardy, M. and Saunders, D. (2018) Updating Wilkie’s economic scenario generator for US applications. North American Actuarial Journal, 22(4), 600622.CrossRefGoogle Scholar
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