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Consider a Floating-Strike Lookback Put Option Written on a Stock SmaxS ^ { \mathrm { max } }

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Consider a floating-strike lookback put option written on a stock.Let SmaxS ^ { \mathrm { max } } and SminS ^ { \mathrm { min } } denote the maximum and minimum prices of the stock over the option's life.Then,the payoff to the option holder is given by max{XY,0}\max \{ X - Y , 0 \} ,where


Definitions:

Lemons Problem

A market problem where the quality of goods cannot be accurately determined by the buyer due to asymmetric information, leading to an overall decline in product quality.

Adverse Selection

A scenario where one participant in a transaction possesses superior or more information than the other, frequently resulting in a disadvantageous result for the party with less information.

Screen

In technology, it refers to the display area of electronic devices where images, text, and videos are shown.

Adverse Selection

A situation where unfair advantage is taken of a transaction due to asymmetric information between buyers and sellers.

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