The Valuation of Stock Loans under Stochastic Interest Rate

• Main Authors: Amy, 戴婉淳
• Other Authors: 黃裕烈
• Format: Others
• Language: zh-TW
• Published: 2014
• Online Access: http://ndltd.ncl.edu.tw/handle/39512685932824416564

碩士 === 國立清華大學 === 計量財務金融學系 === 102 === Abstract A stock loan or securities lending is a loan which borrowers have a share of stock can use it as collateral. However, closed form solution is not available for perpetual America options, the valuation of stock loan is an optimal stopping problem related to a perpetual American option. As Xia and Zhou (2007) published their work about stock loans. The stock loan pricing problem has thus attracted a great deal of attention since their work. Our purpose is that under interest rate is stochastic to find an optimal exercise boundary. As a result, we focus on the stochastic process about stock and interest rate as well as the correlation between both. Finally, we use Variational Inequality to figure out the optimal stopping time which indicates the optimal exercise price.