Mean-variance portfolio methods for energy policy risk management

  1. Marrero, Gustavo A.
  2. Puch, Luis A.
  3. Ramos Real, Francisco Javier
Documentos de Trabajo (ICAE)

ISSN: 2341-2356

Year of publication: 2013

Issue: 41

Pages: 1-34

Type: Working paper

More publications in: Documentos de Trabajo (ICAE)


The risks associated with current and prospective costs of different energy technologies are crucial in assessing the efficiency of the energy mix. However, energy policy typically relies on the evolution of average costs, neglecting the covariances in the costs of the different energy technologies in the mix. Mean-Variance Portfolio Theory is implemented to evaluate jointly the average costs and the associated volatility of alternative energy combinations. In addition systematic and non-systematic risks associated with the energy technologies are computed based on a Capital Asset Pricing Model and considering time varying betas. It is shown that both electricity generation and fuel use imply risks that are idiosyncratic and with relevant implications for energy and environmental policy.

Bibliographic References

  • Awerbuch, S. (2000). Investing in photovoltaics: risk, accounting and the value of new technology. Energy Policy 28 (14), 1023–1035.
  • Awerbuch, S. and M. Berger (2003). Applying portfolio theory to EU electricity planning and policy-making. IEA/EET, Paris.
  • Awerbuch, S. and S. Yang (2007). Efficient electricity generating portfolios for Europe: maximising energy security and climate change mitigations. EIB Vol. 2, 8-37.
  • Bar-Lev, D., and S. Katz (1976). A portfolio approach to fossil fuel procurement in the electric utility industry. Journal of Finance 31 (3), 933-947.
  • Bazilian, M. and F. Roques (eds) (2008). Analytical Methods for Energy Diversity and Security. Portfolio Optimization in the Energy Sector, Elsevier. Amsterdam.
  • Beckmann, J. and R. Czudaj (2013). Gold as an inflation hedge in a time-varying coefficient framework. North American Journal of Economics and Finance, 24(C), 208-222.
  • Black, A., P. Fraser and D. Power (1992). UK unit trust performance 1980-89: a passive time-varying approach. Journal of Banking and Finance 16(5), 1015-1033.
  • Bollerslev, T. (1990). Modeling the coherence in short-run nominal exchange rates: a multivariate generalized arch model. The Review of Economics and Statistics 72 (3), 498-505.
  • Bollerslev, T., R.F. Engle, and J.M. Wooldridge (1988). A capital asset pricing model with time-varying covariances. Journal of Political Economy 96, 116–131.
  • Boyle, G.W. (1994). Market equilibrium and the CAPM in a mean-generalized coefficient of variation economy. International Review of Economics and Finance 3(3), 249-256.
  • Casals, J., M. Jerez, and S. Sotoca (2002). An exact multivariate model-based structural decomposition. Journal of the American Statistical Association 97, 458, 553- 564.
  • Cashin, P. and C.J. McDermott2002, The long-run behaviour of commodity prices: small trends and big variability. IMF Working Paper, no. 49.
  • Chang, C-L., M. McAleer and R. Tansuchat (2013). Conditional correlations and volatility spillovers between crude oil and stock index returns. North American Journal of Economics and Finance, 25(C), 116–138.
  • Chen (2010). Understanding world metals prices: returns, volatility and diversification. Resources Policy 35, 127–140. Deaton, A. 1999, Commodity prices and growth in Africa. The Journal of Economic Perspectives vol. 13, no. 3, pp. 23-40.
  • Deaton, A. and G. Laroque 1992, On the behaviour of commodity prices. Review of Economic Studies vol. 59, no. 198, pp. 1-23.
  • Devereux, M.B. (2009). A simple model of emerging market portfolio structure. International Review of Economics and Finance 18 (3), 457-468.
  • Díaz, A. and L.A. Puch (2013). A theory of investment and energy use. Univ. Carlos III Working Paper 1320.
  • EC (2006), Commission Green Paper: a European strategy for sustainable, competitive and secure energy. European Commission.
  • Fama, E. and K. French (1997). Industry Costs of Equity. Journal of Financial Economics 43, pp. 153-193.
  • Fama, E.F., and K. French (2004). The capital asset pricing model: theory and evidence. Journal of Economic Perspectives 18(3): 25-46.
  • Fisher, L. and J.H. Kamin (1985). Forecasting Systematic Risk: Estimates of “Raw” Beta and the Heteroskedasticity of Residual Returns, Journal of Financial and Quantitative Analysis, 20 (2), pp. 127-149.
  • Galvani, V. and A. Plourde (2009). Portfolio diversification in energy markets. Energy Economics 32 (2), 257-268.
  • Golosov, M., J. Hassler, P. Krusell and A. Tsyvinski (2013). Optimal taxes on fossil fuel in general equilibrium. Econometrica, forthcoming.
  • Guerrero-Lemus, R., G.A. Marrero and L.A. Puch (2012). Costs for conventional and renewable fuels and electricity in the worldwide transport sector: A mean– variance portfolio approach. Energy 44 (1), 178-188.
  • Hammoudeh, S., P. Araújo-Santos and A. Al-Hassan (2013). Downside risk management and VaR-based optimal portfolios for precious metals, oil and stocks. North American Journal of Economics and Finance,, 25(C), 318–334.
  • Hsu, P. and L. Szu-Lang (2012). The portfolio strategy and hedging: A spectrum perspective on mean–variance theory. International Review of Economics and Finance, 22 (1), pp. 129-140.
  • Huang, H-H., and C-P Wang (2013). Portfolio selection and portfolio frontier with background risk. North American Journal of Economics & Finance 26, 177-196.
  • Humphreys, H. and K. McClain (1998). Reducing the impacts of energy price volatility through dynamic portfolio selection. The Energy Journal 19 (3), 107-131.
  • IEA (2010). Projected Costs of Generating Electricity, 2010 update. Intnal Energy Ag.
  • Jagannathan, R. and E.R McGrattan. (1995). The CAPM debate. Federal Reserve Bank of Minneapolis Quarterly Review 19 (4), 2–17.
  • Krey, B and P. Zweifel (2006). Efficient electricity portfolios for Switzerland and the United States. University of Zurich, SOI Working Paper no. 602.
  • Lazard (2012). Levelized Cost of Energy Analysis. Version 6.0. Levy, H. (2010). The CAPM is alive and well: A review and synthesis. European Financial Management 16 (1), 43–7.
  • Levy, H. and M. Levy (2004). Prospect theory and mean-variance analysis. Review of Financial Studies 17 (4), 1015-1041.
  • Lintner, J. (1965). The valuation of risk assets and the selection of risky investments in stock portfolios and capital budget. Review of Economics & Statistics 47: 13–37.
  • Luenberger, D.G. (1998). Investment Science. Oxford University Press, Oxford.
  • Markowitz, H.M. (1952). Portfolio selection. Journal of Finance 7 (1), 77-91.
  • Marrero. G.A., L.A. Puch and F. Ramos-Real (2011). Riesgo y costes medios en la generación de electricidad: diversificación e implicaciones de política energética. Política Exterior 4, 136-149.
  • Marrero, G.A. and F.J. Ramos-Real (2010). Electricity generation cost in isolated system. Renewable and Sustainable Energy Reviews, 14 (9), 2808-2818.
  • Merton, R. (1973). An intertemporal capital asset pricing model. Econometrica. 41 (5), 867–87.
  • Moselle, B. (2010). Renewable generation and security of supply, harnessing renewable energy in electricity power systems. Ch 4, Earthscan.
  • Muñoz, J.I., A. Sánchez- Nieta, A. Contreras and J.L. Bernal-Agustín (2009). Optimal investment portfolio in renewable energy. Energy Policy 37, pp. 5273-5284.
  • NEA (2012). Nuclear Energy and Renewables: System effects in Low-Carbon Electricity Systems. Nucler Energy Agency. OECD.
  • Roques, F. A., D.M. Newbery, and , WJ Nuttall (2008). Fuel mix diversification incentives in liberalized electricity markets: A Mean-Variance Portfolio theory approach. Energy Economics 30, 1831-1849.
  • Roques, F. A., C. Hiroux and M. Saguan (2010). Optimal wind power deployment in Europe - A portfolio approach. Energy Policy 38, 3245-3256.
  • Saleem, K., and M. Vaihekoski (2010). Time-varying global and local sources of market and currency risks in Russian stock market. International Review of Economics and Finance, 19(4), 686–697.
  • Sharpe, W.F. (1964). Capital asset prices: A theory of market equilibrium under conditions of risk. Journal of Finance 19, 425–42.
  • Shefrin, H. and M. Statman (2000). Behavioral portfolio theory. Journal of Finance and Quantitative Analysis, 35 (2), 127-151.
  • Tsai, H-J, M-C Chen, and C-Y Yang (2013). A time-varying perspective on the CAPM and downside betas. International Review of Economics and Finance, in press.
  • US Department of Energy and US Environmental Protection Agency (2011). Fuel Economy Guide. Model Year 2012.
  • Wells, C. (1994). Variable betas on the Stockholm exchange 1971-1989. Applied Financial Economics 4(1), 75-92.