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Risk Based Capital and Capital Allocation in Insurance

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초록

The science of capital allocation has made significant advances. Yet there is limited theoretical guidance for the selection of risk measure which is consistent with value maximisation frame. Different firms and regulations use different risk measures and there is no clear agreement on the appropriate risk measure. Risk measures vary for different risks, different lines of business, products and divisions. For insurer price of risk should vary with the type of risk under consideration, yet most risk based capital approaches implicitly use a common pricing method of risk based on a firm wide expected cost of capital. Developments in capital allocation of risk capital for solvency and by-line pricing provide new insights. This paper highlights the importance of risk measure and discusses the importance of the insolvency default option value, which is linked to the concept of credit default swap. It also discusses allocation by line and fair pricing, frictional costs and market imperfections in addition to issues of risk based capital in a value maximizing framework.

Abstract

The science of capital allocation has made significant advances. Yet there is limited theoretical guidance for the selection of risk measure which is consistent with value maximisation frame. Different firms and regulations use different risk measures and there is no clear agreement on the appropriate risk measure. Risk measures vary for different risks, different lines of business, products and divisions. For insurer price of risk should vary with the type of risk under consideration, yet most risk based capital approaches implicitly use a common pricing method of risk based on a firm wide expected cost of capital. Developments in capital allocation of risk capital for solvency and by-line pricing provide new insights. This paper highlights the importance of risk measure and discusses the importance of the insolvency default option value, which is linked to the concept of credit default swap. It also discusses allocation by line and fair pricing, frictional costs and market imperfections in addition to issues of risk based capital in a value maximizing framework.

참고문헌 (22)

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  2. Cummins, J. David, "Allocation of Capital in the Insurance Industry", ’Risk Management and Insurance Review, 3, pp.7~28 (2000)
  3. Capital Allocation and the Pricing of Financially Intermediated Risks: An Empirical Investigation, "Cummins, J. David", ~, pp.Wharton Financial Institutions Center 06-13 (2006)
  4. Cummins, J. David, "Estimating the Cost of Equity Capital for Property-Liability Insurers", Journal of Risk and Insurance, 72(3), pp.441~478 (2005)
  5. Cummins, J. David, "Price, Financial Quality, and Capital Flows in Insurance Markets", Journal of Financial Intermediation, 6, pp.3~38 (1997)
  6. Doherty, Neil A., "Price Regulation in Property-Liability Insurance: A Contingent-Claims Approach", Journal of Finance, 41, pp.1031~1050 (1986)
  7. Fairley, William B, "Investment Income and Profit Margins in Property-Liability Insurance: Theory and Empirical Results", The Bell Journal of Economics, 10, pp.192~210 (1979)
  8. Hancock, John, "The Economics of Insurance: How Insurers Create Value for Shareholders" (2001), Swiss Re Technical Publishing
  9. MacMinn, Richard D, "The Fisher Model and Financial Markets" (2005), World Scientific
  10. Merton, Robert C, "Theory of Risk Capital in Financial Firms", Journal of Applied Corporate Finance, 6, pp.16~32 (1993)
  11. Myers, Stewart, "Fair Rate of Return in Property-Liability Insurance" (1987), Kluwer Academic Publis
  12. Myers, Stewart C., "Capital Allocation for Insurance Companies", Journal of Risk and Insurance, 3, pp.187~221 (2001)
  13. Managing the Invisible: Measuring Risk, Managing Capital, Maximizing Value, "Panning, William, H.", ~, pp.Willis Re Working Paper (2006)
  14. Phillips, Richard D., "Financial Pricing of Insurance in the Multiple Line Insurance Company", Journal of Risk and Insurance, 65, pp.597~636 (1998)
  15. Sherris, M., "Solvency, Capital Allocation and Fair Rate of Return in Insurance", Journal of Risk and Insurance, 73(1), pp.71~96 (2006)
  16. Sherris, M., "Capital Allocation in Insurance:Economic Capital and the Allocation of the Default Option Value", North American Actuarial Journal, 10(2), pp.39~61 (2006)
  17. Sutherland-Wong, C., "Risk-Based Regulatory Capital for Insurers: A Case Study", Journal of Actuarial Practice, 12, pp.5~46 (2005)
  18. Swiss Re, "Insurers' cost of capital and economic value creation:principles and practical implications" (2005), Swiss Re Technical Publishing
  19. Venter Gary, "Capital Allocation Survey with Commentary", North American Actuarial Journal, 8, pp.96~107 (2004)
  20. Enterprise Risk Management, Insurance Pricing and Capital Allocation, Geneva Paperson Risk and Insurance, "Yow, S.", Special Competition Edition–Geneva Association, 2007, pp.34~62
  21. Yow, S., "Enterprise Risk Management, Insurer Value Maximisation, and Market Frictions", ASTIN Bulletin, 38(1), pp.293~339 (2008)
  22. Zanjani, George, "Pricing and Capital Allocation in Catastrophe Insurance", Journal of Financial Economics, 65, pp.283~305 (2002)

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