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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.
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.
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).
Where d1 and d2 are defined above. By the symmetry of the standard normal distribution N(−d) = (1−N(d)) so the formula for the put option is usually written as p(0) = e−rT KN(−d2) − S(0)N(−d1). Rewrite the Black-Scholes formula as c(0) = e−rT (S(0)erT N(d1) − KN(d2)). The formula can be interpreted as follows.
Futures trading profits can be classified and are subject to a key tax advantage called the 60/40 tax rule. This rule taxes 60 percent of profits from qualifying futures contracts at the lower long term capital gains rate but the rest of the 40 percent at the higher short term rate.
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).
The payoff function is a function u i : S 1 × S 2 × ⋯ S m → R .