This paper works out fair values of stock loan model with automatic termination clause  . This stock loan is treated as a generalized perpetual American option with an automatic termination clause and possibly negative interest rate  . Since it helps a bank to control the risk, banks should charge less service fees compared to stock loans without automatic termination clauses . The automatic termination clause is in fact a stop order set by the bank.  We aim at establishing explicitly the value of such a loan and ranges of fair values of key parameters : this loan size, interest rate,  fee for providing such a service and quantity of this automatic termination clause and relationships among these parameters as well as the optimal terminable stopping times .
This paper works out fair values of stock loan model with automatic termination clause , cap and margin . This stock loan is treated as a generalized perpetual American option with possibly negative interest rate and some constraints . Since it helps a bank to control the risk, the banks charge less service fees compared to stock loans without any constraints . The automatic termination clause , cap and margin are in fact a stop order set by the bank. Mathematically, it is a kind of optimal stopping problems arising from the pricing of financial products which is first revealed. We aim at establishing explicitly the value of such a loan and ranges of fair values of key parameters : this loan size, interest rate, cap, margin and fee for providing such a service and quantity of this automatic termination clause and relationships among these parameters as well as the optimal exercise times. We present numerical results and make analysis about the model parameters and how they impact on value of stock loan .
A
, cap and margin
D
an automatic termination clause and
A
and some constraints
R
banks should
the banks
R
automatic termination clauses
any constraints
R
is
, cap and margin are
A
Mathematically, it is a kind of optimal stopping problems arising from the pricing of financial products which is first revealed.
A
cap, margin and
R
terminable stopping times
exercise times. We present numerical results and make analysis about the model parameters and how they impact on value of stock loan