Title
Contingent capital with discrete conversion from debt to equity
Abstract
We consider the problem of valuing contingent capital in the form of debt that converts to equity when a capital ratio falls below a threshold. With continuous monitoring of the conversion trigger and with asset value modeled as geometric Brownian motion, the value admits a closed-form expression. Here we focus on the case of a discretely monitored trigger and the simulation of three potential mechanisms for conversion in discrete time. We show how to use the continuous-time formulas as control variates through exact joint simulation of the discrete- and continuous-time processes. We then investigate continuity corrections to approximate discrete-time results using continuous-time formulas and compare results across alternative conversion mechanisms.
Year
DOI
Venue
2010
10.1109/WSC.2010.5678968
Winter Simulation Conference
Keywords
Field
DocType
financial management,venture capital,contingent capital valuation,continuity corrections,continuous-time formulas,continuous-time processes,conversion trigger,debt-equity conversion,discrete-time processes,geometric Brownian motion
Debt-to-equity ratio,Simulation,Computer science,Control variates,Debt,Capital adequacy ratio,Equity (finance),Venture capital,Discrete time and continuous time,Geometric Brownian motion
Conference
ISSN
ISBN
Citations 
0891-7736
978-1-4244-9866-6
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Paul Glasserman149695.86
Behzad Nouri230.90