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@FUNCTION=CUM_BIV_NORM_DIST 
@SYNTAX=CUM_BIV_NORM_DIST(a,b,rho)
@DESCRIPTION=CUM_BIV_NORM_DIST calculates the cumulative bivariate normal distribution from parameters a, b & rho.
The return value is the probability that two random variables with correlation @rho are respectively each less than @a and @b.
@EXAMPLES=
@SEEALSO=NORMDIST,NORMSDIST,NORMSINV |
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@FUNCTION=CUM_BIV_NORM_DIST
@SYNTAX=CUM_BIV_NORM_DIST(a,b,rho)
@DESCRIPTION=CUM_BIV_NORM_DIST υπολογίζει την αθροιστική διμεταβλητή κατανομή με τις παραμέτρους a, b & rho.
Η τιμή που επιστρέφεται είναι η πιθανότητα δύο τυχαίες μεταβλητές με συσχέτιση @rho είναι αντιστοίχως μικρότερη από @a και @b.
@EXAMPLES=
@SEEALSO=NORMDIST,NORMSDIST,NORMSINV |
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Translated by
Giannis Katsampirhs
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2.
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@FUNCTION=OPT_BS
@SYNTAX=OPT_BS(call_put_flag,spot,strike,time,rate,volatility [,cost_of_carry])
@DESCRIPTION=OPT_BS uses the Black-Scholes model to calculate the price of a European option using call_put_flag, @call_put_flag, 'c' or 'p' struck at @strike on an asset with spot price @spot.
@time is the time to maturity of the option expressed in years.
@rate is the risk-free interest rate.
@volatility is the annualized volatility, in percent, of the asset for the period through to the exercise date.
@cost_of_carry is the leakage in value of the underlying asset, for common stocks, this would be the dividend yield.
* The returned value will be expressed in the same units as @strike and @spot.
@EXAMPLES=
@SEEALSO=OPT_BS_DELTA, OPT_BS_RHO, OPT_BS_THETA, OPT_BS_VEGA, OPT_BS_GAMMA |
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@FUNCTION=OPT_BS
@SYNTAX=OPT_BS(call_put_flag,spot,strike,time,rate,volatility [,cost_of_carry])
@DESCRIPTION=OPT_BS χρηιμοποιεί το μοντέλο Black-Scholes για να υπολογίσει την τιμή μιας επιλογής χρησιμοποιώντας με τις call_put_flag, @call_put_flag, 'c' or 'p' struck at @strike σε στοιχείο με σημειακή τιμή @spot.
@time είναι ο χρόνος μέχρι τη λήξη (του επιλεγμενου asset) εκφρασμένος σε έτη.
@rate είναι το βασικό επιτόκιο χωρίς κίνδυνο.
@volatility is the annualized volatility, in percent, of the asset for the period through to the exercise date.
@cost_of_carry is the leakage in value of the underlying asset, for common stocks, this would be the dividend yield.
* The returned value will be expressed in the same units as @strike and @spot.
@EXAMPLES=
@SEEALSO=OPT_BS_DELTA, OPT_BS_RHO, OPT_BS_THETA, OPT_BS_VEGA, OPT_BS_GAMMA |
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Translated by
Giannis Katsampirhs
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3.
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@FUNCTION=OPT_BS_DELTA
@SYNTAX=OPT_BS_DELTA(call_put_flag,spot,strike,time,rate,volatility[,cost_of_carry])
@DESCRIPTION=OPT_BS_DELTA uses the Black-Scholes model to calculate the 'delta' of a European option with call_put_flag, @call_put_flag, 'c' or 'p' struck at @strike on an asset with spot price @spot.
Where @time is the time to maturity of the option expressed in years.
@rate is the risk-free interest rate.
@volatility is the annualized volatility, in percent, of the asset for the period through to the exercise date.
@cost_of_carry is the leakage in value of the underlying asset, for common stocks, this would be the dividend yield.
* The returned value will be expressed in the same units as @strike and @spot.
@EXAMPLES=
@SEEALSO=OPT_BS, OPT_BS_RHO, OPT_BS_THETA, OPT_BS_VEGA, OPT_BS_GAMMA |
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Start a new line in the equivalent position in the translation.
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represents a space character.
Enter a space in the equivalent position in the translation.
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@FUNCTION=OPT_BS_DELTA
@SYNTAX=OPT_BS_DELTA(call_put_flag,spot,strike,time,rate,volatility[,cost_of_carry])
@DESCRIPTION=OPT_BS_DELTA χρησιμοποιεί το μοντέλο Black-Scholes για να υπολογίσει το 'delta' μιας ευρωπαϊκής επιλογής με with call_put_flag, @call_put_flag, 'c' ή 'p' struck at @strike σε ένα στοιχείο με σημειακή τιμή @spot.
Όπου @time είναι ο χρόνος μέχρι τη λήξη του επιλεγμένου asset εκφρασμένος σε έτη.
@rate είναι το βασικό επιτόκιο χωρίς κίνδυνο.
@volatility is the annualized volatility, in percent, of the asset for the period through to the exercise date.
@cost_of_carry is the leakage in value of the underlying asset, for common stocks, this would be the dividend yield.
* The returned value will be expressed in the same units as @strike and @spot.
@EXAMPLES=
@SEEALSO=OPT_BS, OPT_BS_RHO, OPT_BS_THETA, OPT_BS_VEGA, OPT_BS_GAMMA |
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Translated by
Giannis Katsampirhs
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4.
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@FUNCTION=OPT_BS_GAMMA
@SYNTAX=OPT_BS_GAMMA(spot,strike,time,rate,volatility[,cost_of_carry])
@DESCRIPTION=OPT_BS_GAMMA uses the Black-Scholes model to calculate the 'gamma' of a European option struck at @strike on an asset with spot price @spot.
(The gamma of an option is the second derivative of its price with respect to the price of the underlying asset, and is the same for calls and puts.)
@time is the time to maturity of the option expressed in years.
@rate is the risk-free interest rate to the exercise date, in percent.
@volatility is the annualized volatility, in percent, of the asset for the period through to the exercise date.
@cost_of_carry is the leakage in value of the underlying asset, for common stocks, this would be the dividend yield.
* The returned value will be expressed as the rate of change of delta per unit change in @spot.
@EXAMPLES=
@SEEALSO=OPT_BS, OPT_BS_DELTA, OPT_BS_RHO, OPT_BS_THETA, OPT_BS_VEGA |
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@FUNCTION=OPT_BS_GAMMA
@SYNTAX=OPT_BS_GAMMA(spot,strike,time,rate,volatility[,cost_of_carry])
@DESCRIPTION=OPT_BS_GAMMA χρησιμοποιεί το μοντέλο Black-Scholes για να υπολογίσει το 'gamma' μιας ευρωπαϊκής επιλογής struck at @strike σε στοιχείο με σημειακή τιμή @spot.
(Το gamma μιας επιλογής είναι το δεύτερο παράγωγο της τιμής του αντιστοιχία στην τιμή του επιλεγμένου στοιχείου, και είναι ίδιο για τις καταβολές και τις απαιτήσεις.)
@time is the time to maturity of the option expressed in years.
@rate is the risk-free interest rate to the exercise date, in percent.
@volatility is the annualized volatility, in percent, of the asset for the period through to the exercise date.
@cost_of_carry is the leakage in value of the underlying asset, for common stocks, this would be the dividend yield.
* The returned value will be expressed as the rate of change of delta per unit change in @spot.
@EXAMPLES=
@SEEALSO=OPT_BS, OPT_BS_DELTA, OPT_BS_RHO, OPT_BS_THETA, OPT_BS_VEGA |
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Translated by
Giannis Katsampirhs
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5.
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@FUNCTION=OPT_BS_THETA
@SYNTAX=OPT_BS_THETA(call_put_flag,spot,strike,time,rate,volatility[,cost_of_carry])
@DESCRIPTION=OPT_BS_THETA uses the Black-Scholes model to calculate the 'theta' of a European option with call_put_flag, @call_put_flag struck at @strike on an asset with spot price @spot.
(The theta of an option is the rate of change of its price with respect to time to expiry.)
@time is the time to maturity of the option expressed in years
and @rate is the risk-free interest rate to the exercise date, in percent.
@volatility is the annualized volatility, in percent, of the asset for the period through to the exercise date.
@cost_of_carry is the leakage in value of the underlying asset, for common stocks, this would be the dividend yield.
* The returned value will be expressed as minus the rate of change of option value, per 365.25 days.
@EXAMPLES=
@SEEALSO=OPT_BS, OPT_BS_DELTA, OPT_BS_RHO, OPT_BS_VEGA, OPT_BS_GAMMA |
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Start a new line in the equivalent position in the translation.
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@FUNCTION=OPT_BS_THETA
@SYNTAX=OPT_BS_THETA(call_put_flag,spot,strike,time,rate,volatility[,cost_of_carry])
@DESCRIPTION=OPT_BS_THETA χρησιμοποιεί το μοντέλο Black-Scholes για να υπολογίσει το 'theta' μιας ευρωπαϊκής επιλογής με call_put_flag, @call_put_flag struck at @strike σε στοιχείο με σημειακή τιμή @spot.
(To theta μιας επιλογής είναι ο δείκτης αλλαγής της τιμής της σε αντιστοιχία με το χρόνο μέχρι τη λήξη.)
@time είναι ο χρόνος μέχρι τη λήξη της επιλογής εκφρασμένος σε έτη.
@volatility είναι η ετήσια αστάθεια, σε ποσοστό, του στοιχείου για την περίοδο ισχύος του.
@cost_of_carry είναι η διαρροή στην τιμή του επιλεγμένου στοιχείου, για κοινά αποθέματα, θα μπορούσε να είναι η απόδοση των μετοχών.
* Η τιμή που επιστρέφεται θα εκφραστεί μείον το δείκτη αλλαγής της τιμής της επιλογής, για 365.25 ημέρες.
@EXAMPLES=
@SEEALSO=OPT_BS, OPT_BS_DELTA, OPT_BS_RHO, OPT_BS_VEGA, OPT_BS_GAMMA |
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Translated by
Giannis Katsampirhs
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6.
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@FUNCTION=OPT_BS_VEGA
@SYNTAX=OPT_BS_VEGA(spot,strike,time,rate,volatility[,cost_of_carry])
@DESCRIPTION=OPT_BS_VEGA uses the Black-Scholes model to calculate the 'vega' of a European option struck at @strike on an asset with spot price @spot.
(The vega of an option is the rate of change of its price with respect to volatility, and is the same for calls and puts.)
@volatility is the annualized volatility, in percent, of the asset for the period through to the exercise date.
@time is the time to maturity of the option expressed in years.
@rate is the risk-free interest rate to the exercise date, in percent.
@cost_of_carry is the leakage in value of the underlying asset, for common stocks, this would be the dividend yield.
* The returned value will be expressed as the rate of change of option value, per 100% volatility.
@EXAMPLES=
@SEEALSO=OPT_BS, OPT_BS_DELTA, OPT_BS_RHO, OPT_BS_THETA, OPT_BS_GAMMA |
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represents a line break.
Start a new line in the equivalent position in the translation.
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represents a space character.
Enter a space in the equivalent position in the translation.
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(no translation yet)
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7.
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@FUNCTION=OPT_BS_RHO
@SYNTAX=OPT_BS_RHO(call_put_flag,spot,strike,time,rate,volatility[,cost_of_carry])
@DESCRIPTION=OPT_BS_RHO uses the Black-Scholes model to calculate the 'rho' of a European option with call_put_flag, @call_put_flag struck at @strike on an asset with spot price @spot.
@call_put_flag is 'c' or 'p' to indicate whether the option is a call or a put.
(The rho of an option is the rate of change of its price with respect to the risk free interest rate.)
@time is the time to maturity of the option expressed in years.
@rate is the risk-free interest rate to the exercise date, in percent.
@cost_of_carry is the leakage in value of the underlying asset, for common stocks, this would be the dividend yield.
* The returned value will be expressed as the rate of change of option value, per 100% change in @rate.
@EXAMPLES=
@SEEALSO=OPT_BS, OPT_BS_DELTA, OPT_BS_THETA, OPT_BS_VEGA, OPT_BS_GAMMA |
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represents a line break.
Start a new line in the equivalent position in the translation.
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(no translation yet)
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8.
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@FUNCTION=OPT_BS_CARRYCOST
@SYNTAX=OPT_BS_CARRYCOST(call_put_flag,spot,strike,time,rate,volatility[,cost_of_carry])
@DESCRIPTION=OPT_BS_CARRYCOST uses the Black-Scholes model to calculate the 'elasticity' of a European option struck at @strike on an asset with spot price @spot.
@call_put_flag is 'c' or 'p' to indicate whether the option is a call or a put.
(The elasticity of an option is the rate of change of its price with respect to its cost of carry.)
@volatility is the annualized volatility, in percent, of the asset for the period through to the exercise date. @time is the time to maturity of the option expressed in years.
@rate is the risk-free interest rate to the exercise date, in percent.
@cost_of_carry is the leakage in value of the underlying asset, for common stocks, this would be the dividend yield.
* The returned value will be expressed as the rate of change of option value, per 100% volatility.
@EXAMPLES=
@SEEALSO=OPT_BS, OPT_BS_DELTA, OPT_BS_RHO, OPT_BS_THETA, OPT_BS_GAMMA |
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represents a line break.
Start a new line in the equivalent position in the translation.
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(no translation yet)
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9.
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@FUNCTION=OPT_GARMAN_KOHLHAGEN
@SYNTAX=OPT_GARMAN_KOHLHAGEN(call_put_flag,spot,strike,time,domestic_rate,foreign_rate,volatility[,cost_of_carry])
@DESCRIPTION=OPT_GARMAN_KOHLHAGEN values the theoretical price of a European currency option struck at @strike on an asset with spot price @spot.
@call_put_flag is 'c' or 'p' to indicate whether the option is a call or a put.
@volatility is the annualized volatility, in percent, of the asset for the period through to the exercise date.
@time the number of days to exercise.
@domestic_rate is the domestic risk-free interest rate to the exercise date.
@foreign_rate is the foreign risk-free interest rate to the exercise date, in percent.
@cost_of_carry is the leakage in value of the underlying asset, for common stocks, this would be the dividend yield.
* The returned value will be expressed as the rate of change of option value, per 100% volatility.
@EXAMPLES=
@SEEALSO=OPT_BS, OPT_BS_DELTA, OPT_BS_RHO, OPT_BS_THETA, OPT_BS_GAMMA |
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represents a line break.
Start a new line in the equivalent position in the translation.
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represents a space character.
Enter a space in the equivalent position in the translation.
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(no translation yet)
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10.
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@FUNCTION=OPT_FRENCH
@SYNTAX=OPT_FRENCH(call_put_flag,spot,strike,time,t2,rate,volatility[,cost_of_carry])
@DESCRIPTION=OPT_FRENCH values the theoretical price of a European option adjusted for trading day volatility, struck at @strike on an asset with spot price @spot.
@call_put_flag is 'c' or 'p' to indicate whether the option is a call or a put.
@volatility is the annualized volatility, in percent, of the asset for the period through to the exercise date.
@time the number of calendar days to exercise divided by calendar days in the year.
@t2 is the number of trading days to exercise divided by trading days in the year.
@rate is the risk-free interest rate.
@cost_of_carry is the leakage in value of the underlying asset, to the exercise date, in percent.
For common stocks, this would be the dividend yield.
@EXAMPLES=
@SEEALSO=OPT_BS, OPT_BS_DELTA, OPT_BS_RHO, OPT_BS_THETA, OPT_BS_GAMMA |
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represents a line break.
Start a new line in the equivalent position in the translation.
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represents a space character.
Enter a space in the equivalent position in the translation.
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(no translation yet)
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