On Stock-Based Loans

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Abstract
We investigate the equilibrium interest rate charges on non-recourse and recourse loans secured by stock. In such loans the client retains the option to prepay and recover the collateral stock. We adopt a structural model of the firm where debt levels, with endogenous bankruptcy, affect equity dynamics. Complicating matters, the link between total equity and the price of a share of stock that forms the collateral depends on the extent of dilutions and buybacks that occur. For levered firms, in bad states of nature, due to dilution, stock prices typically fall faster than equity values; and in good states of nature, for firms that engage in buybacks, stock prices will rise faster than equity values. Banks that ignore these features underestimate the equilibrium interest rate charge on stock based loans. We provide an analysis of individual stock based loans and their portfolio characteristics, the latter of which can be used by banks to ascertain capital requirements.

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