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© 2012 INFORMS Contingent Capital with a Capital-Ratio Trigger (2010)
| Content Provider | CiteSeerX |
|---|---|
| Author | Glasserman, Paul Nouri, Behzad |
| Abstract | Contingent capital in the form of debt that converts to equity when a bank faces financial distress has beenproposed as a mechanism to enhance financial stability and avoid costly government rescues. Specific pro-posals vary in their choice of conversion trigger and conversion mechanism. We analyze the case of contingent capital with a capital-ratio trigger and partial and ongoing conversion. The capital ratio we use is based on accounting or book values to approximate the regulatory ratios that determine capital requirements for banks. The conversion process is partial and ongoing in the sense that each time a bank’s capital ratio reaches the minimum threshold, just enough debt is converted to equity to meet the capital requirement, so long as the con-tingent capital has not been depleted. We derive closed-form expressions for the market value of such securities when the firm’s asset value is modeled as geometric Brownian motion, and from these we get formulas for the fair yield spread on the convertible debt. A key step in the analysis is an explicit expression for the fraction of equity held by the original shareholders and the fraction held by converted investors in the contingent capital. Key words: probability; diffusion; stochastic model applications; finance; asset pricing |
| File Format | |
| Publisher Date | 2010-01-01 |
| Access Restriction | Open |
| Subject Keyword | Capital-ratio Trigger Contingent Capital Informs Contingent Capital Capital Requirement Fair Yield Spread Book Value Derive Closed-form Expression Financial Stability Minimum Threshold Key Step Ongoing Conversion Financial Distress Specific Pro-posals Asset Value Converted Investor Market Value Original Shareholder Geometric Brownian Motion Explicit Expression Con-tingent Capital Conversion Trigger Costly Government Rescue Bank Capital Ratio Conversion Mechanism Enough Debt Regulatory Ratio Asset Pricing Conversion Process Convertible Debt Capital Ratio Stochastic Model Application |
| Content Type | Text |