GARKHCLPRC Function

Arguments

E

is a non-missing, positive value that specifies the exercise price.

Requirement:

Specify E and S in the same units.

t

is a non-missing value that specifies the time to maturity.

S

is a non-missing, positive value that specifies the spot currency price.

Requirement:

Specify S and E in the same units.

R_d

is a non-missing, positive fraction that specifies the risk-free domestic interest rate for period t.

Requirement:

Specify a value for Rd for the same time period as the unit of t.

R_f

is a non-missing, positive fraction that specifies the risk-free foreign interest rate for period t.

Requirement:

Specify a value for Rf for the same time period as the unit of t.

sigma

is a non-missing, positive fraction that specifies the volatility of the currency rate.

Requirement:

Specify a value for sigma for the same time period as the unit of t.

The GARKHCLPRC function calculates the call prices for European options on stocks, based on the Garman-Kohlhagen model. The function is based on the following relationship:

where

where

	specifies the volatility of the underlying asset.
	specifies the variance of the rate of return.

For the special case of t=0, the following equation is true:

For information about the basics of pricing, see Using Pricing Functions.

The GARKHCLPRC function calculates the call prices for European options on stocks, based on the Garman-Kohlhagen model. The GARKHPTPRC function calculates the put prices for European options on stocks, based on the Garman-Kohlhagen model. These functions return a scalar value.

----+----1----+----2--

a=garkhclprc(1000, .5, 950, 4, 4, 2);
put a;

65.335687119

b=garkhclprc(850, 1.2, 125, 5, 3, 1);
put b;

1.9002767538

c=garkhclprc(7500, .9, 950, 3, 2, 2);
put c;

69.328647279

d=garkhclprc(5000, -.5, 237, 3, 3, 2);
put d;

           0

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