The payoff at time T from a European call option is (S(T)−K)+ and from a European put option is (K −S(T))+. In the case of American options, the payoff takes place at the moment of exercise t, where t ≤ T and we set t = T if the option is not exercised.
In the case of American options, the payoff takes place at the moment of exercise t, where t ≤ T and we set t = T if the option is not exercised. For American options, the payoff is (S(t) − K)+ for a call option and (K − S(t))+ for a put.
The delta of a European call option satisfies delta = ∂C ∂S = e−qT Φ(d1). This is the usual delta corresponding to a volatility surface that is sticky-by-strike. It assumes that as the underlying security moves, the volatility of the option does not move.
The payoff function is actually a function on the strategy profiles in the game to the real numbers. We can also examine the individual moves by a player. This is a vector in S i m and can be written as s = (sp,sq,…,st).
In simple words, it means that the losses for the buyer of an option are limited, however the profits are potentially unlimited. For a writer (seller), the payoff is exactly the opposite. His profits are limited to the option premium, however his losses are potentially unlimited.
A best of option is an option whose payoff is based on the best return from a basket of assets, while a worst of option is an option on the worst return of a basket of assets. If there are n underlying assets, the payoff effectively has n possibilities.
The payoff ratio, also known as the profit factor is a metric that compares the average profit of winning trades to the average loss of losing trades. It helps traders assess the performance of their trading strategies and the potential profitability of their trades.
A put payoff diagram explains the profit/loss from the put option on expiration and the breakeven point of the transaction. It's a pictorial representation of the possible results of your action (of buying a Put).