Extendible stock loan

Abstract

In this paper, the model of extendible stock loan with forbearance is proposed. The loan is extendible, so as to prevent immediate losses or to prevent subsequent price drop; while the forbearance is granted only when the pledged share’s value is above threshold, so as to mitigate the risk-taking behavior induced by the extension. The non-synchronization of the liquidation of insolvent stock loans also alleviates the downward leverage spiral in a market downturn. Numerical analysis shows that fair extendible stock loan rates increase with the forbearance level as well as extension period, and loan rates are quite sensitive to the change of asset volatility and debt ratio. For lenders waiving the interest rates during extension period, their burden grows with extension rapidly when they grant looser forbearance and when asset volatility or loan-to-value is higher. Some suggestions are made accordingly. First, lenders offering uniform extendible loan rate can let borrowers choose between looser forbearance with shorter extension, or tighter forbearance with longer extension. Second, if the loan rate is priced fairly, lower margin requirement can only be accomplished with tighter forbearance. More looser forbearance worth higher rates.