Difference between revisions of "Putoption"

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[[Category:Financial library functions]]
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[[Category:Doc Status C]] <!-- For Lumina use, do not change -->
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==Function Putoption(s, x, t, r, theta)==
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Calculates the value of a put option using the Black-Scholes formula.
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[[Syntax]]:
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:[[Putoption]](s, x, t, r, theta: Numeric)
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Parameters:
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;«s»: the current price of the security
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;«x»: the exercise price
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;«t»: the time in years to exercise
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;«r»: the risk-free interest rate
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;«theta»: the volatility of the security
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Function definition:
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:<code>USING d1 := (ln(S/X) + (t*(r + (0.5*theta^2))))/(theta*t^0.5)</code>
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::<code>DO  (x*exp(-r*t)*CumNormal(-d1 + (theta*t^0.5)) - (s*CumNormal(-d1))</code>
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==Library==
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[[Financial library functions]] ([[media:Financial Library.ana|Financial Library.ana]])
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:Use [[File  menu|File]] &rarr; '''Add Library...''' to add this library
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==Example==
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:<code>Putoption(50, 50, 0.25, 0.05, 0.3) &rarr; 2.67</code>
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==See also==
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* [[CumNormal]]
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* [[Calloption]]
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* [[Capm]]
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* [[Pvperp]]
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* [[media:Financial Library.ana|Financial Library.ana]]
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* [[Financial library functions]]
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* [[Financial functions]]

Latest revision as of 20:51, 24 May 2016


Function Putoption(s, x, t, r, theta)

Calculates the value of a put option using the Black-Scholes formula.

Syntax:

Putoption(s, x, t, r, theta: Numeric)

Parameters:

«s»
the current price of the security
«x»
the exercise price
«t»
the time in years to exercise
«r»
the risk-free interest rate
«theta»
the volatility of the security

Function definition:

USING d1 := (ln(S/X) + (t*(r + (0.5*theta^2))))/(theta*t^0.5)
DO (x*exp(-r*t)*CumNormal(-d1 + (theta*t^0.5)) - (s*CumNormal(-d1))

Library

Financial library functions (Financial Library.ana)

Use FileAdd Library... to add this library

Example

Putoption(50, 50, 0.25, 0.05, 0.3) → 2.67

See also

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