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Operation of the Capital Market Under Entity Specific Pricing

Published online by Cambridge University Press:  10 June 2011

T. C. Jenkins
T. C. Jenkins
Affiliation:
6 Barrie Place, Davidson, NSW 2085, Australia., Tel: +61(2) 9451-0028, Email: tim.jenkins@au.pwc.com
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Abstract

The paper introduces a setting in which each business in an economy faces considerable uncertainty about the cost of providing its service and therefore needs risk capital to give consumers confidence in its solvency. The paper then explores the operation of the capital market under conditions where businesses charge for this service dependability by setting an entity specific profit margin.

This entity specific profit margin is associated with an optimal, arbitrage-free investment portfolio for investors and, as they optimise their portfolios, generates a market equilibrium. Under these conditions it is shown that the entity specific risk premium for investors is the same as the premium for non-diversifiable risk relative to the market portfolio. This reconciles an entity specific approach with the capital asset pricing model, and in this setting would allow the use of the former without having to explicitly take the latter into consideration.

A consequence of this is that entity specific pricing and valuation are fair in such an setting and, for example, the fair value accounting of insurance liabilities can be performed on an entity specific basis.

Keywords

Expected UtilityEntity Specific PricingOptimal PortfolioMarket EquilibriumCapital Asset Pricing Model (CAPM)State Price DeflatorFair Value
Type
Sessional meetings: papers and abstracts of discussions
Information
British Actuarial Journal , Volume 9 , Issue 2 , 01 June 2003 , pp. 427 - 455
Copyright
Copyright © Institute and Faculty of Actuaries 2003

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References

Arrow, K.J. (1965). Aspects of the theory of risk bearing. Yrjo Jahnsson lectures, Helsinki. Reprinted in Essays in the theory of risk bearing (1971), Markham, Chicago.Google Scholar
Duffie, D. (1996). Dynamic asset pricing theory. Princeton University Press, Princeton.Google Scholar
Jarvis, F., Southall, F. & Varnell, E. (2001). Modern valuation techniques. Paper presented to the Staple Inn Actuarial Society. www.sias.org.uk/papers/mut.pdfGoogle Scholar
LeRoy, S.F. & Werner, J. (2001). Principles of financial economics. Cambridge University Press.Google Scholar
Pratt, J.W. (1964). Risk aversion in the small and the large. Econometrica, 32.Google Scholar
Sharpe, W.F. (1964). Capital asset prices: a theory of market equilibrium under conditions of risk. Journal of Finance, 19.Google Scholar
Von Neumann, J. & Morgenstern, O. (1947). Theory of games and economic behaviour. Princeton University Press, Princeton.Google Scholar