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Calculate theoretical option prices and Greeks using the Black-Scholes model. Results are for educational purposes and are not recommendations.

$
1.005000.00
$
1.005000.00
days
1730
%
0.0020.00
%
1.0200.0

The Greeks

Delta (Δ)

0.5520

Gamma (Γ)

0.0554

Theta (Θ)

-0.0548

Vega (ν)

0.1138

Rho (ρ)

0.0420

Theoretical Price
$4.0568
Call Option Price

Intrinsic Value

$0.00

Time Value

$4.0568

An illustration using the figures you entered, for education only — not financial, investment or tax advice. Real returns depend on prices, fees and tax at the time.

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Black-Scholes Formula (Call)

C = S · N(d₁) − K · e^(−rT) · N(d₂)
S

Current price of the underlying asset

K

Strike (exercise) price of the option

T

Time to expiration in years

r

Risk-free interest rate (annualised)

N(x)

Cumulative standard normal distribution function

d₁

[ln(S/K) + (r + σ²/2)T] / (σ√T)

d₂

d₁ − σ√T

σ

Implied volatility of the underlying asset

Questions

Frequently Asked Questions

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