English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

A variational inequality for pricing the perpetual American option and thecorresponding difference equation are considered. First, the maximum principleand uniqueness of the solution to variational inequality for pricing theperpetual American option are proved. Then the maximum principle, the existenceand uniqueness of the solution to the difference equation corresponding to thevariational inequality for pricing the perpetual American option and thesolution representation are provided and the fact that the solution to thedifference equation converges to the viscosity solution to the variationalinequality is proved. It is shown that the limits of the prices of variationalinequality and BTM models for American Option when the maturity goes toinfinity do not depend on time and they become the prices of the perpetualAmerican option.

Variational inequality for perpetual American option price and convergence to the solution of the difference equation