Hostname: page-component-78c5997874-lj6df Total loading time: 0 Render date: 2024-11-10T22:20:38.511Z Has data issue: false hasContentIssue false

Statistiscal Analysis of the Spreads of Catastrophe Bonds at the Time of Issue

Published online by Cambridge University Press:  09 August 2013

Dimitris Papachristou*
Affiliation:
Financial Services Authority, 25 The North Colonade, Canary Wharf, London E14 5HS, Tel: +44 20 7066 0488, E-mail: dimitris.papachristou@fsa.gov.uk

Abstract

In this paper the catastrophe bond prices, as determined by the market, are analysed. The limited published work in this area has been carried out mainly by cat bond investors and is based either on intuition, or on simple linear regression on one factor or on comparisons of the process of cat bonds with similar features. In this paper a Generalised Additive Model is fitted to the market data. The statistical significance of different factors which may affect the cat bond prices is examined and the effect of these factors on the prices is measured. A statistical framework and analysis ould provide insight into the cat bond pricing and could have applications among other things in the construction of a cat bond portfolio, cat bond price indices and in understanding changes of the price of risk over time.

Type
Research Article
Copyright
Copyright © International Actuarial Association 2011

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Cox, S. and Pedersen, H. (1997) Catastrophe Risk Bonds, AFIR Colloquium.Google Scholar
Dalgaard, P. (2002) Introductory Statistics with R, Springer.Google Scholar
Dallison, M., Papachristou, D. and Potter, D. (2008) Pricing of Cat bonds and other Risk Transfer Solutions, article in B15, 35.Google Scholar
Doherty, N.A. (1997) Financial Innovation in the management of Catastrophe Risk, Astin Colloquium.CrossRefGoogle Scholar
Hastie, T.J. and Tibshirani, R.J. (1990) Generalized Additive Models, Taylor & Francis Ltd Chapman & Hall.Google Scholar
James, G. et al. (2008) Securitisation fo Non-Life Insurance Working Party, Basis Risk, Giro 2008.Google Scholar
Kreps, R. (1999) Investment Equivalent Reinsurance Pricing, Actuarial Considerations Regarding Risk and Return in Property – Casualty Insurance Pricing, Casualty Actuarial Society.Google Scholar
Kunreuther, H., Hogarth, R. and Meszaros, J. (1993) Insurer Ambiguity and Market Failure, Journal of Risk and Uncertainty, 7: 7187.CrossRefGoogle Scholar
Lane, M. (2000) Pricing Risk Transfer Transactions, Astin Bulletin.Google Scholar
Lane, M. and Mahul, O. (2008) Catastrophe Risk Pricing and Empirical Approach, World Bank Policy Research Working Paper WPS4765.Google Scholar
McCullagh, P. and Nelder, J.A. (1989) Generalised Linear Models, Taylor & Francis Ltd Chapman & Hall.Google Scholar
Montgomery, D.C., Peck, E.A. and Vining, G.G. (2006) Introduction to Linear Regression Analysis, Wiley – Interscience.Google Scholar
Schmock, U. (1999) Estimating the Value of the Wincat Coupons Of the Winterthur Insurance Convertible Bond, Astin Bulletin 29(1), 101163.CrossRefGoogle Scholar
Tilley, J.A. (1997) The Securitisation of Catastrophic Property Risks, AFIR Colloquium.Google Scholar
Venables, W.N. and Ripley, B.D. (1994) Modern Applied Statistics with S-Plus, Springer Verlag.Google Scholar
Walker, S. et al. (1999) ART and Insurance Derivatives working Party, GIRO 1999.Google Scholar
Wang, S.S. (2004) Cat Bond Pricing Using Probability Transforms, Geneva Papers: Etudes et Dossiers, special Issue on Insurance and the State of the Art in Cat Bond Pricing, No 278, pages 1929.Google Scholar
Wood, S. (2006) Generalized Additive Models, Chapman & Hall.Google Scholar