Difference between revisions of "Calloption"

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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 Calloption(s, x, t, r, theta)===
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Calculates the value of a call option using the Black-Scholes formula.
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[[Syntax]]:
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:[[Calloption]](s, x, t, r, theta : Numeric)
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Parameters:
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;«s»: the price of the security now
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;«s»: 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 s*CumNormal(d1) - (x*exp(-r*t)*CumNormal(d1 - (theta*t^0.5)))</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>Calloption(50, 50, 0.25, 0.05, 0.3) &rarr; 3.292</code>
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==See Also==
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* [[CumNormal]]
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* [[Putoption]]
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* [[Capm]]
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* [[Wacc]]
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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 20:38, 24 May 2016


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

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

Syntax:

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

Parameters:

«s»
the price of the security now
«s»
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 s*CumNormal(d1) - (x*exp(-r*t)*CumNormal(d1 - (theta*t^0.5)))

Library

Financial library functions (Financial Library.ana)

Use FileAdd Library... to add this library

Example

Calloption(50, 50, 0.25, 0.05, 0.3) → 3.292

See Also

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