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Quotient Option


An exotic option that has the ratio of two assets as underlying. The payoff of the option is based on the simple correlation between the performances of two assets. This payoff is calculated using the following formula:

payoff = Max (ω S2/S1 – ω K, 0)

where ω= -1 (this helps determine the type of option: if a call, ω= 1, if a put, ω= -1)

For example, if S2= 200, S1= 100, and the option is a call with a quotient strike of 1.5 then:

Payoff = Max (1 x 200/100 – (1) x 1.5, 0), or payoff= Max (2 -1.5, 0)

In this case, the quotient payoff is 0.5 and the monetary payoff is 0.5 x S1= 50.



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Derivatives have increasingly become very important tools in finance over the last three decades. Many different types of derivatives are now traded actively on ...
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