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HOW A SINGLE-FACTOR CAPM WORKS IN A MULTI-CURRENCY WORLD

Published online by Cambridge University Press:  23 December 2015

Robert Thomson ,
Şule Şahin  and
Taryn Reddy
Robert Thomson*
Affiliation:
School of Statistics and Actuarial Science, University of the Witwatersrand, Private Bag 3, WITS 2050, South Africa, Tel: +27-11-646 5332, Fax: +27-11-7176285
Şule Şahin
Affiliation:
Department of Actuarial Sciences, Hacettepe University, Ankara, Turkey Tel.: +90-312-297-6160 E-Mail: [email protected]
Taryn Reddy
Affiliation:
School of Statistics and Actuarial Science, University of the Witwatersrand, Private Bag 3, WITS 2050, South Africa Tel: +27-11-717-6268, Fax: +27-11-717 6285 E-Mail: [email protected]
*
E-Mail: [email protected]
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Abstract

In this paper, a single-factor multi-currency (SFM) capital-asset pricing model (SFM-CAPM) is developed. The advantage in using a single-factor model is that it does not treat currency risks as carrying different weight from investment risks; regardless of its source, risk is measured as variance, and weighted accordingly. The aim of this paper is primarily to give actuaries a way ahead in the use of the single-factor CAPM in a multi-currency world for the purposes of the stochastic modelling of the assets and liabilities of long-term financial institutions, such as pension funds, particularly for the purposes of liability-driven investments and market-consistent valuation, and the application of the model has been designed with that intention. However, it is envisaged that the model will also be of interest to other practitioners. The paper's major original contribution to the literature is its proof that, for a single-factor CAPM to work in a multi-currency world, there is a necessary condition. The theory is applied to two major currencies and two minor currencies, namely the US dollar, the UK pound, the South African rand and the Turkish lira.

Keywords

International CAPMsingle-factor multi-currency CAPM (SFM-CAPM)
Type
Research Article
Information
ASTIN Bulletin: The Journal of the IAA , Volume 46 , Issue 1 , January 2016 , pp. 103 - 139
Copyright
Copyright © Astin Bulletin 2015 

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References

Adler, M. and Dumas, B. (1983) International portfolio choice and corporate finance: A synthesis. Journal of Finance, 38 (3), 925–984.CrossRefGoogle Scholar
Dolde, W., Giaccotto, C., Mishra, D.R. and O'Brien, T. (2011) Foreign exchange exposure and cost of equity for US companies: Local versus global CAPM. Journal of Applied Finance, 1 (1), 78–86.Google Scholar
Grauer, F.L.A., Litzenberger, R.H. and Stehle, R.E. (1976) Sharing rules and equilibrium in an international capital market under uncertainty. Journal of Financial Economics, 3 (3), 233–56.CrossRefGoogle Scholar
Jorion, P. and Schwartz, E. (1986) Integration vs. segmentation in the Canadian stock market. Journal of Finance, 41 (3), 603–14.CrossRefGoogle Scholar
Karolyi, G.A. and Stulz, R.M. (2003) Are financial assets priced locally or globally? Handbook of the Economics of Finance, 1, 975–1020.CrossRefGoogle Scholar
Koedijk, K.G., Kool, C.J.M., Schotman, P.C. and van Dijk, M.A. (2002) The cost of capital in international financial markets: Local or global? Journal of International Money and Finance, 21 (6), 905–29.CrossRefGoogle Scholar
Lintner, J. (1965) The valuation of risk assets and the selection of risky investments in stock portfolios and capital budgets. Review of Economics and Statistics, 47 (1), 13–37.CrossRefGoogle Scholar
Mossin, J. (1966) Equilibrium in a capital asset market. Econometrica, 34 (4), 768–783.CrossRefGoogle Scholar
Sercu, P. (1980) A generalization of the international asset pricing model. Journal of Finance, 8, 500–24.Google Scholar
Sharpe, W.F. (1964) Capital asset prices: A theory of market equilibrium under conditions of risk. Journal of Finance, 19 (3), 425–442.Google Scholar
Solnik, B.H. (1974a) An equilibrium model of the international capital market. Journal of Economic Theory, 8, 500–24.CrossRefGoogle Scholar
Solnik, B.H. (1974b) The international pricing of risk: An empirical investigation of the world capital market structure. Journal of Finance, 29 (2), 365–78.CrossRefGoogle Scholar
Stehle, R. (1977) An empirical test of the alternative hypotheses of national and international pricing of risky assets. Journal of Finance, 32 (2), 493–502.CrossRefGoogle Scholar
Stulz, R.M. (1981) International asset pricing. Journal of Financial Economics, 9, 383–406.CrossRefGoogle Scholar
Stulz, R.M. (1995a) International portfolio choice and asset pricing: An integrative survey. National Bureau of Economic Research, available at: http://www.nber.org/papers/w4645.CrossRefGoogle Scholar
Stulz, R.M. (1995b) The cost of capital in internationally integrated markets: The case of Nestle. European Financial Management, 1 (1), 11–22.CrossRefGoogle Scholar
Stulz, R.M. (1995c) Globalization of the capital markets and the cost of capital: The case of Nestle. Journal of Applied Corporate Finance, 8 (3), 30–38.CrossRefGoogle Scholar
Thomson, R.J. (2011) The arbitrage-free equilibrium pricing of liabilities in an incomplete market: Application to a South African retirement fund. South African Actuarial Journal, 11, 1–41.CrossRefGoogle Scholar
Thomson, R.J. and Gott, D.V. (2009) Stochastic models for actuarial use: The equilibrium modelling of local markets. ASTIN Bulletin, 39 (1), 339–70.CrossRefGoogle Scholar
Treynor, J.L. (unpublished manuscript) Toward a theory of market value of risky assets. (1962)Google Scholar
Wilkie, A.D. (unpublished manuscript). Why the capital asset pricing model fails in a multi-currency world. Proceedings of the 7th International AFIR Colloquium, 1997, 951–960.Google Scholar