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Estimating the effects of demographics on interest rates: a robust Bayesian perspective. (English) Zbl 07865856

Summary: We highlight a reason for the vast range of estimates for the effect of demographics on interest rates: the magnitudes are not well-identified without often omitted data on capital and life-cycle consumption. Using nonparametric prior sensitivity analysis for an overlapping generations model estimated through Bayesian methods, we show small changes in the prior for the discount rate, intertemporal elasticity of substitution, and depreciation rate can shift posterior quantiles for the effects of demographics by up to 1.5 percentage points. Capital-output ratio data substantially tighten estimates of the depreciation rate but not the discount rate. Life-cycle consumption is especially informative about the intertemporal elasticity of substitution.

MSC:

91-XX Game theory, economics, finance, and other social and behavioral sciences
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[1] Aguiar, M.; Bils, M., Has consumption inequality mirrored income inequality?. Am. Econ. Rev., 9, 2725-2756 (2015)
[2] Aiyagari, S. R., Uninsured idiosyncratic risk and aggregate saving. Q. J. Econ., 3, 659-684 (1994)
[3] Aksoy, Y.; Basso, H. S.; Smith, R. P.; Grasl, T., Demographic structure and macroeconomic trends. Am. Econ. J. Macroecon., 1, 193-222 (2019)
[4] Attanasio, O.; Kitao, S.; Violante, G. L., Global demographic trends and social security reform. J. Monet. Econ., 1, 144-198 (2007)
[5] Attanasio, O. P.; Kitao, S.; Violante, G. L., Quantifying the effects of the demographic transition in developing economies. Adv. Macroecon., 1 (2006)
[6] Bianchi, F., Regime switches, agents’ beliefs, and post-World War II US macroeconomic dynamics. Rev. Econ. Stud., 2, 463-490 (2013)
[7] Blanchard, O. J., Debt, deficits, and finite horizons. J. Polit. Econ., 2, 223-247 (1985)
[8] Brooks, R., Asset-market effects of the baby boom and social-security reform. Am. Econ. Rev., 2, 402-406 (2002)
[9] Brooks, R., Population aging and global capital flows in a parallel universe. IMF Econ. Rev., 200-221 (2003)
[10] Cai, M.; Del Negro, M.; Herbst, E.; Matlin, E.; Sarfati, R.; Schorfheide, F., Online estimation of DSGE models. Econom. J., 1, C33-C58 (2021) · Zbl 07546383
[11] Canova, F.; Sala, L., Back to square one: identification issues in DSGE models. J. Monet. Econ., 4, 431-449 (2009)
[12] Carvalho, C.; Ferrero, A.; Nechio, F., Demographics and real interest rates: inspecting the mechanism. Eur. Econ. Rev., 208-226 (2016)
[13] Christiano, L. J.; Trabandt, M.; Walentin, K., DSGE models for monetary policy analysis, 285-367
[14] Cooley, T.; Henriksen, E., The demographic deficit. J. Monet. Econ., 45-62 (2018)
[15] Del Negro, M.; Giannone, D.; Giannoni, M. P.; Tambalotti, A., Safety, Liquidity, and the Natural Rate of Interest. Brookings Papers on Economic Activity (Spring), 235-316 (2017)
[16] Del Negro, M.; Schorfheide, F., Priors from general equilibrium models for VARs. Int. Econ. Rev., 2, 643-673 (2004)
[17] Eggertsson, G. B.; Mehrotra, N. R.; Robbins, J. A., A model of secular stagnation: theory and quantitative evaluation. Am. Econ. J. Macroecon., 1, 1-48 (2019)
[18] Feenstra, R. C.; Inklaar, R.; Timmer, M. P., The next generation of the Penn World Table. Am. Econ. Rev., 10, 3150-3182 (2015)
[19] Ferrero, A., A structural decomposition of the U.S. trade balance: productivity, demographics and fiscal policy. J. Monet. Econ., 4, 478-490 (2010)
[20] Ferrero, G.; Gross, M.; Neri, S., On secular stagnation and low interest rates: demography matters. Int. Finance, 3, 262-278 (2019)
[21] Fraumeni, B. M., The measurement of depreciation in the U.S. national income and product accounts. Surv. Curr. Bus., 7-23 (1997)
[22] Fujita, S.; Fujiwara, I., Aging and the real interest rate in Japan: a labor market channel. J. Jpn. Int. Econ. (2023)
[23] Fujiwara, I.; Teranishi, Y., A dynamic new Keynesian life-cycle model: societal aging, demographics, and monetary policy. J. Econ. Dyn. Control, 8, 2507-2511 (2008) · Zbl 1181.91229
[24] Gagnon, E.; Johannsen, B. K.; Lopez-Salido, D., Understanding the new normal: the role of demographics. IMF Econ. Rev., 357-390 (2021)
[25] Garner, T. I.; Janini, G.; Paszkiewicz, L.; Vendemia, M., The CE and the PCE: a comparison. Mon. Labor Rev., 20 (2006)
[26] Gertler, M., Government debt and social security in a life-cycle economy, 61-110
[27] Ho, P., Global robust Bayesian analysis in large models. J. Econom., 2, 608-642 (2023) · Zbl 07704467
[28] Ho, P.; Sarte, P.-D. G.; Schwartzman, F. F., Multilateral Comovement in a New Keynesian World: a Little Trade Goes a Long Way (2022), Federal Reserve Bank of Richmond Working Paper 22-10
[29] Hodrick, R. J.; Prescott, E. C., Postwar U.S. business cycles: an empirical investigation. J. Monet. Econ., 1, 1-16 (1997)
[30] Holston, K.; Laubach, T.; Williams, J. C., Measuring the natural rate of interest: international trends and determinants. J. Int. Econ., S59-S75 (2017)
[31] Ikeda, D.; Saito, M., The effects of demographic changes on the real interest rate in Japan. Japan World Econ., 37-48 (2014)
[32] Imrohoroglu, A.; Imrohoroglu, S.; Joines, D. H., A life cycle analysis of social security. Econ. Theory, 83-114 (1995) · Zbl 0830.90019
[33] Iskrev, N., Local identification in DSGE models. J. Monet. Econ., 2, 189-202 (2010)
[34] Janssens, E., Identification in Heterogeneous Agent Models (2020), Working paper
[35] Jones, C., Aging, secular stagnation and the business cycle. Rev. Econ. Stat., 1-46 (2022)
[36] Kara, E.; von Thadden, L., Interest rate effects of demographic changes in a new-Keynesian framework. Macroecon. Dyn., 1, 120-164 (2016)
[37] Karabarbounis, L.; Neiman, B., The global decline of the labor share. Q. J. Econ., 1, 61-103 (2014) · Zbl 1400.91281
[38] Kitao, S., When do we start? Pension reform in aging Japan. Jpn. Econ. Rev., 1, 26-47 (2017)
[39] Kitao, S., Policy uncertainty and cost of delaying reform: the case of aging Japan. Rev. Econ. Dyn., 81-100 (2018)
[40] Komunjer, I.; Ng, S., Dynamic identification of dynamic stochastic general equilibrium models. Econometrica, 6, 1995-2032 (2011) · Zbl 1241.91071
[41] Krugman, P. R., It’s baaack: Japan’s slump and the return of the liquidity trap. Brookings Pap. Econ. Act., 2, 137 (1998)
[42] Laubach, T.; Williams, J. C., Measuring the natural rate of interest. Rev. Econ. Stat., 4, 1063-1070 (2003)
[43] Lubik, T. A.; Matthes, C., Calculating the natural rate of interest: a comparison of two alternative approaches. Richmond Fed Economic Brief (2015), 15-10
[44] Marx, M.; Mojon, B.; Velde, F. R., Why have interest rates fallen far below the return on capital?. J. Monet. Econ., S57-S76 (2021)
[45] Müller, U. K., Measuring prior sensitivity and prior informativeness in large Bayesian models. J. Monet. Econ., 6, 581-597 (2012)
[46] Müller, U. K.; Watson, M. W., Long-run covariability. Econometrica, 3, 775-804 (2018) · Zbl 1416.62514
[47] Muto, I.; Oda, T.; Sudo, N., Macroeconomic impact of population aging in Japan: a perspective from an overlapping generations model. IMF Econ. Rev., 3, 408-442 (2016)
[48] Sala, L., DSGE models in the frequency domain. J. Appl. Econom., 219-240 (2015)
[49] Sims, C. A.; Zha, T., Were there regime switches in US monetary policy?. Am. Econ. Rev., 1, 54-81 (2006)
[50] Smets, F.; Wouters, R., Shocks and frictions in U.S. business cycles: a Bayesian DSGE approach. Am. Econ. Rev., 3, 586-606 (2007)
[51] Sudo, N.; Takizuka, Y., Population aging and the real interest rate in the last and next 50 years: a tale told by an overlapping generations model. Macroecon. Dyn., 8, 2060-2103 (2020)
[52] Wong, A., Transmission of Monetary Policy to Consumption and Population Aging (2018), Working Paper
[53] Yaari, M. E., Uncertain lifetime, life insurance, and the theory of the consumer. Rev. Econ. Stud., 2, 137-150 (1965)
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