Options Pricing

Explore Black-Scholes option pricing with interactive controls, payoff diagrams, and Greeks.

Parameters
Spot Price$150.0

The current market price of the stock. This is what you’d pay to buy shares right now.

Strike Price$145.0

The price at which you can exercise your option. For a call, you profit when spot goes above strike. For a put, you profit when spot drops below.

Time to Expiry0.50 yr

How long until the option expires. More time = more expensive option, because there’s more chance the stock could move in your favor.

Volatility30%

How much the stock price swings. Higher volatility = more expensive options, because bigger swings mean bigger potential payoffs.

Risk-Free Rate4.5%

The return you’d get from a ‘safe’ investment like Treasury bonds. This is the opportunity cost of tying up money in an option.

Guide Me

Call Price

$19.05

Put Price

$10.83

Theta Decay

Set time to expiry at 1.00 yr. Note the call price. Now drag it to 0.10 yr. Watch how the price drops — that’s theta decay. Options lose value every day just from time passing.

Vega Effect

Set volatility to 10%. Note the prices. Now drag to 80%. Options get dramatically more expensive — this is why options spike before earnings announcements.

In the Money vs Out

Set strike to $120 (well below spot at $150). That call is deep in the money. Now set strike to $180. The call is cheap because it’s out of the money — the stock needs a big move to be worth anything.

Payoff at Expiry

The Greeks

Delta

C: 0.6791P: -0.3209

Price sensitivity to $1 move in underlying

Gamma

0.0117

Rate of change of delta per $1 move

Theta

C: -0.0427P: -0.0252

Daily time decay in option value

Vega

0.3949

Price change per 1% move in volatility

Price Surface
$105$121$136$152$167$183Spot Price5%18%31%44%57%70%Volatility$0.00$71.94