A Contingent Claim Analysis of Suicide
An option-theoretic model of suicide in the continuous time framework is proposed. Given completeness of the financial market and the associated contingent claim argument, the value of human capital consistent with the no-arbitrage principle is determined as the expected, discounted, present value of the future wage stream under the risk-neutral probability measure. The suicide option - the right but not the obligation to commit suicide - is modelled as an American put option with this human capital stock and a certain reference level of human capital as the underlier and strike price, respectively. The value of underlier falling short of the srtike price doet not induce the option holder's immediate suicide because of the option value to postpone such a fatal and irreversible decision. This value, the delayed exercise premium, is given in a near closed form up to a deterministic exercise boundary. The nearly closed-form nature of this boundry allows one to calibrate the model to the real suicide rates among Japanese male workers from 1998 to 2009. The calibrated value of the strike price roughly amounts to the perpetual annuity value of the 90 percentage of the initial wage earned as of the new entry into the labor market, with the coupon rate given by the spread in market prices of risk between financial and labor market.
|Date of creation:||May 2013|
|Date of revision:|
|Contact details of provider:|| Postal: 7-22-1 Roppongi, Minato-ku, Tokyo, Japan 106-8677|
Web page: http://www.grips.ac.jp/r-center/en/discussion_papers/
More information through EDIRC
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Mary C. Daly & Daniel J. Wilson & Norman J. Johnson, 2012.
"Relative status and well-being: evidence from U.S. suicide deaths,"
Working Paper Series
2012-16, Federal Reserve Bank of San Francisco.
- Mary C. Daly & Daniel J. Wilson & Norman J. Johnson, 2013. "Relative Status and Well-Being: Evidence from U.S. Suicide Deaths," The Review of Economics and Statistics, MIT Press, vol. 95(5), pages 1480-1500, December.
- Mary C. Daly & Daniel J. Wilson & Norman J. Johnson, 2007. "Relative status and well-being: evidence from U.S. suicide deaths," Working Paper Series 2007-12, Federal Reserve Bank of San Francisco.
- Merton, Robert C, 1998.
"Applications of Option-Pricing Theory: Twenty-Five Years Later,"
American Economic Review,
American Economic Association, vol. 88(3), pages 323-49, June.
- Merton, Robert C., 1997. "Applications of Option-Pricing Theory: Twenty-Five Years Later," Nobel Prize in Economics documents 1997-1, Nobel Prize Committee.
- Bodie, Zvi & Detemple, Jerome B. & Otruba, Susanne & Walter, Stephan, 2004. "Optimal consumption-portfolio choices and retirement planning," Journal of Economic Dynamics and Control, Elsevier, vol. 28(6), pages 1115-1148, March.
- Chan, Leo & Lien, Donald, 2010. "The value of planned death," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 39(6), pages 692-695, December.
- Luca Benzoni & Pierre Collin-Dufresne & Robert S. Goldstein, 2007.
"Portfolio Choice over the Life-Cycle when the Stock and Labor Markets Are Cointegrated,"
Journal of Finance,
American Finance Association, vol. 62(5), pages 2123-2167, October.
- Luca Benzoni & Pierre Collin-Dufresne & Robert S. Goldstein, 2007. "Portfolio choice over the life-cycle when the stock and labor markets are cointegrated," Working Paper Series WP-07-11, Federal Reserve Bank of Chicago.
- Hamermesh, Daniel S & Soss, Neal M, 1974. "An Economic Theory of Suicide," Journal of Political Economy, University of Chicago Press, vol. 82(1), pages 83-98, Jan.-Feb..
- Zvi Bodie & Jérôme Detemple & Marcel Rindisbacher, 2009. "Life-Cycle Finance and the Design of Pension Plans," Annual Review of Financial Economics, Annual Reviews, vol. 1(1), pages 249-286, November.
- Robert McDonald & Daniel Siegel, 1986. "The Value of Waiting to Invest," The Quarterly Journal of Economics, Oxford University Press, vol. 101(4), pages 707-727.
When requesting a correction, please mention this item's handle: RePEc:ngi:dpaper:13-05. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: ()
If references are entirely missing, you can add them using this form.