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Risk management for an internationally diversified portfolio

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Francesco Menoncin

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Abstract

In a simple framework where we have: (i) a stochastic domestic interest rate, (ii) a stochastic exchange rate, (iii) both a domestic and a foreign riskless asset, and (iv) both a domestic and a foreign risky asset, we explicitly compute the optimal asset allocation for an investor who wants to maximize the expected (CRRA) utility of his final wealth. This explicit solution allows us the widely investigate the behaviour of the optimal portfolio hedging component with respect to all the parameters in the model. In particular, we show a numerical simulation for investigating the hedging strategy against the exchange rate risk.

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Paper provided by University of Brescia, Department of Economics in its series Working Papers with number ubs0404.

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  1. Cox, John C. & Huang, Chi-fu, 1989. "Optimal consumption and portfolio policies when asset prices follow a diffusion process," Journal of Economic Theory, Elsevier, vol. 49(1), pages 33-83, October. [Downloadable!] (restricted)
  2. Brennan, Michael J. & Schwartz, Eduardo S. & Lagnado, Ronald, 1997. "Strategic asset allocation," Journal of Economic Dynamics and Control, Elsevier, vol. 21(8-9), pages 1377-1403, June. [Downloadable!] (restricted)
  3. Breeden, Douglas T., 1979. "An intertemporal asset pricing model with stochastic consumption and investment opportunities," Journal of Financial Economics, Elsevier, vol. 7(3), pages 265-296, September. [Downloadable!] (restricted)
  4. Merton, Robert C, 1973. "An Intertemporal Capital Asset Pricing Model," Econometrica, Econometric Society, vol. 41(5), pages 867-87, September. [Downloadable!] (restricted)
  5. Nicholas Barberis, 2000. "Investing for the Long Run when Returns Are Predictable," Journal of Finance, American Finance Association, vol. 55(1), pages 225-264, 02. [Downloadable!] (restricted)
  6. Michael B. Devereux, 1997. "Real Exchange Rates and Macroeconomics: Evidence and Theory," Canadian Journal of Economics, Canadian Economics Association, vol. 30(4), pages 773-808, November.
  7. Cox, John C & Ingersoll, Jonathan E, Jr & Ross, Stephen A, 1985. "A Theory of the Term Structure of Interest Rates," Econometrica, Econometric Society, vol. 53(2), pages 385-407, March. [Downloadable!] (restricted)
  8. Lioui, Abraham & Poncet, Patrice, 2003. "International asset allocation: A new perspective," Journal of Banking & Finance, Elsevier, vol. 27(11), pages 2203-2230, November. [Downloadable!] (restricted)
  9. Menoncin, Francesco, 2003. "Optimal Asset Allocation for HARA Consumers with Labour Income," Economia Internazionale / International Economics, Camera di Commercio di Genova, vol. 56(3), pages 357-381.
  10. Menoncin, Francesco, 2002. "Optimal portfolio and background risk: an exact and an approximated solution," Insurance: Mathematics and Economics, Elsevier, vol. 31(2), pages 249-265, October. [Downloadable!] (restricted)
  11. Cox, John C. & Huang, Chi-fu, 1991. "A variational problem arising in financial economics," Journal of Mathematical Economics, Elsevier, vol. 20(5), pages 465-487. [Downloadable!] (restricted)
  12. Adler, Michael & Dumas, Bernard, 1983. " International Portfolio Choice and Corporation Finance: A Synthesis," Journal of Finance, American Finance Association, vol. 38(3), pages 925-84, June. [Downloadable!] (restricted)
  13. Merton, Robert C., 1971. "Optimum consumption and portfolio rules in a continuous-time model," Journal of Economic Theory, Elsevier, vol. 3(4), pages 373-413, December. [Downloadable!] (restricted)
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  14. Jérôme B. Detemple & René Garcia & Marcel Rindisbacher, 2003. "A Monte Carlo Method for Optimal Portfolios," Journal of Finance, American Finance Association, vol. 58(1), pages 401-446, 02. [Downloadable!] (restricted)
  15. Merton, Robert C, 1969. "Lifetime Portfolio Selection under Uncertainty: The Continuous-Time Case," The Review of Economics and Statistics, MIT Press, vol. 51(3), pages 247-57, August. [Downloadable!] (restricted)
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