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STOCK LOANS
Jianming Xia 1 Xun Yu Zhou 2
  1 Center for Financial Engineering and Risk Management, Academy of Mathematics and Systems Science, Chinese Academy of Sciences
  2 Department of Systems Engineering and Engineering Management, The Chinese University of Hong Kong
 Address correspondence to Jianming Xia, Center for Financial Engineering and Risk Management, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, P. R. China; e-mail: xia@amss.ac.cn.

Jianming Xia is supported by the National Natural Science Foundation of China under grant 10571167; and Xun Yu Zhou is supported by the RGC Earmarked Grants CUHK 4175/03E and CUHK 4234/01E.

Manuscript received May 2005; final revision received November 2005.

Copyright 2007 The Authors. Journal compilation © 2007 Blackwell Publishing Inc.
KEYWORDS
stock loan • Black–Scholes model • call option • stopping time

ABSTRACT

This paper introduces a mathematical model for a currently popular financial product called a stock loan. Quantitative analysis is carried out to establish explicitly the value of such a loan, as well as the ranges of fair values of the loan size and interest, and the fee for providing such a service.


Received: 2005; First Revision: 2005;
DIGITAL OBJECT IDENTIFIER (DOI)
10.1111/j.1467-9965.2006.00305.x About DOI

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