How Long to Read Option Prices as Probabilities

How Long Does it Take to Read Option Prices as Probabilities?

It takes the average reader 4 hours and 30 minutes to read Option Prices as Probabilities by Christophe Profeta

Assuming a reading speed of 250 words per minute. Learn more

Description

Discovered in the seventies, Black-Scholes formula continues to play a central role in Mathematical Finance. We recall this formula. Let (B ,t? 0; F ,t? 0, P) - t t note a standard Brownian motion with B = 0, (F ,t? 0) being its natural ?ltra- 0 t t tion. Let E := exp B? ,t? 0 denote the exponential martingale associated t t 2 to (B ,t? 0). This martingale, also called geometric Brownian motion, is a model t to describe the evolution of prices of a risky asset. Let, for every K? 0: + ? (t) :=E (K?E ) (0.1) K t and + C (t) :=E (E?K) (0.2) K t denote respectively the price of a European put, resp. of a European call, associated with this martingale. Let N be the cumulative distribution function of a reduced Gaussian variable: x 2 y 1 ? 2 ? N (x) := e dy. (0.3) 2? ?? The celebrated Black-Scholes formula gives an explicit expression of? (t) and K C (t) in terms ofN : K ? ? log(K) t log(K) t ? (t)= KN ? + ?N ? ? (0.4) K t 2 t 2 and ? ?

How long is Option Prices as Probabilities?

Option Prices as Probabilities by Christophe Profeta is 270 pages long, and a total of 67,500 words.

This makes it 91% the length of the average book. It also has 82% more words than the average book.

How Long Does it Take to Read Option Prices as Probabilities Aloud?

The average oral reading speed is 183 words per minute. This means it takes 6 hours and 8 minutes to read Option Prices as Probabilities aloud.

What Reading Level is Option Prices as Probabilities?

Option Prices as Probabilities is suitable for students ages 12 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy Option Prices as Probabilities?

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