dc.contributor.author |
Esekon, J. E. |
|
dc.date.accessioned |
2023-03-29T14:57:19Z |
|
dc.date.available |
2023-03-29T14:57:19Z |
|
dc.date.issued |
2023-03 |
|
dc.identifier.uri |
http://repository.kyu.ac.ke/123456789/968 |
|
dc.description.abstract |
This study presents a nonlinear Black-Scholes equation whose nonlinearity is
due to feedback effects. The market involved is illiquid as a result of
transaction costs. An analytic solution to the equation via long and short
gamma positions is currently unknown. After transforming the equation into a
parabolic nonlinear porous medium-type equation, find that the assumption of
a traveling wave profile to the later equation reduces it to Ordinary Differential
Equations (ODEs). This together with the use of long and short gamma
positions facilitate a twice continuously differentiable solution. Both positive
and negative gamma exposure can lead to an out-of-the-money option. |
en_US |
dc.language.iso |
es |
en_US |
dc.publisher |
6th Annual International Conference-2023, Kirinyaga University, Virtual |
en_US |
dc.subject |
Nonlinear Black-Scholes Equation, Illiquid Markets, Transaction Cost, Gamma Position, Analytic Solution |
en_US |
dc.title |
Analytic Solution of a Nonlinear Black-Scholes Equation via Long and Short Gamma Positions. |
en_US |
dc.type |
Article |
en_US |