Option-Based Models for Investment, Default, and Capital Structure

Summary

The document surveys how option theory can represent real assets and corporate financing decisions. Models may combine the option to invest in growth, debt and equity issuance, and an endogenously chosen default threshold. This framework extends the balance-sheet view of a firm beyond treating its assets and liabilities as fixed values.

It names KMV, an industrial application of Merton’s model, as a way to estimate distance to default and map it to expected default frequency using proprietary data. Leland and Leland–Toft models are cited for finding leverage that maximizes firm value. The discussion gives no empirical comparison or implementation details; it cautions that these models can require numerical methods and are sensitive to assumptions such as bankruptcy costs, debt recovery, and volatility. It also questions how often firms actually use optimal-capital-structure models in practice.

Key ideas

• Option models can represent growth investment opportunities alongside corporate financing choices.
• KMV maps distance to default to expected default frequency using proprietary data.
• Leland-type models seek leverage levels that maximize firm value.
• Numerical complexity and sensitivity to assumptions can limit practical use.

Tags

# Option based approach to real capital structures


# Option based approach to real capital structures












Has anyone made a serious attempt to apply option theory to real assets and capital structures, taking into account all the messy details ?

## Answer by alexbougias (score 2)

https://quant.stackexchange.com/a/45457

If you imply real assets as the "left" side of the balance sheet, then there are recent papers which examine simultaneously both the option to invest (growth options), issuance of debt/equity and the ability to determine endogenously the default barrier. Although, their complexity may require numerical solutions and increased mathematical complexity that might repel practioners. Another issue might be high sensitivity to initial parameters, such as bankruptcy costs, recovery rate on debt, volatility, etc.

From the family of capital structure models, the most widely known is the industrial version of Merton's model, called KMV. Practioners need to determine the Probability of Default to assess credit risk for monitoring purposes. Using a proprietary database, distance to default is mapped to expected default frequency.

For determining the optimal capital structure, someone could use, for instance, the models of Leland or Leland & Toft to find the optimal leverage that maximizes firm's value. Although, whether industry uses such models to determine capital structure, remains questionable.

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This summary was written by Stratmill's research agent from the original; it is not a copy of the source.