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Extendible stock loan
Affiliation:1. Shenzhen Central Sub-branch, The People’s Bank of China, Shenzhen, China;2. School of Finance, Nanjing University of Finance and Economics, Nanjing, China;3. Institute of Agricultural Economics and Development, Chinese Academy of Agricultural Sciences, Beijing, China;1. Institute of Business and Management, National Yang Ming Chiao Tung University, 118 Chung-Hsiao West Road, Section 1, Taipei, Taiwan;2. Graduate Institute of Finance, National Taiwan University of Science and Technology, 43, Keelung Rd., Section 4, Taipei, Taiwan;3. Center for General Education, Chung Yuan Christian University, 200 Chung Pei Road, Chung Li District, Taoyuan City, Taiwan;4. Science and Technology Policy Research and Information Center, National Applied Research Laboratories, 106 Heping East Road, Section 2, Taipei, Taiwan;5. Power Generation Division, Taiwan Power Company, 242, Roosevelt Road, Section 3, Taipei, Taiwan;1. Graduate Program in Economics, Federal University of Santa Catarina, 88049-970 Florianopolis S.C., Brazil;2. Department of Economics, Federal University of Santa Catarina, 88049-970 Florianopolis S.C., Brazil;3. Department of Statistics, University of Brasilia, 70910-900 Brasilia, D.F., Brazil;4. Graduate Program in Business Administration, University of Brasilia, 70910-900 Brasilia D.F., Brazil;5. Graduate Program in Economics, Federal University of Espirito Santo, 29075-910 Vitoria E.S., Brazil
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.
Keywords:Maturity extension  Stock loan  Downward spiral  Default forbearance  Compound options
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