What is the difference between intrinsic and time value?

Intrinsic value is the immediate exercise value (stock price minus strike for calls, strike minus stock for puts). Time value is the extra premium for the possibility of moving further in-the-money before expiry. Time value decays to zero at expiry (theta decay).

Why does a call have value even when out-of-the-money?

Out-of-the-money options have zero intrinsic value but positive time value — they represent the probability of the stock moving in-the-money before expiry. A $105 call when stock is at $100 costs $3.70 because there's a meaningful chance the stock exceeds $105.

What are the option Greeks?

Delta: price sensitivity to $1 stock move. Gamma: delta sensitivity. Theta: daily time decay (usually negative for long options). Vega: sensitivity to 1% volatility change. Rho: sensitivity to interest rate change. Delta and theta are most relevant for most traders.

How does time to expiry affect option price?

More time = higher premium because there's more opportunity for the stock to move favorably. As expiry approaches, time value decays exponentially (theta decay accelerates in the last 30 days). This is why options sellers prefer selling near-expiry options.

Options Premium Calculator — Black-Scholes Call & Put Value | KalkWise

By the KalkWise Editorial Team Reviewed for accuracy Updated June 2026

What is the options premium calculator — black-scholes call & put value?

In short

Black-Scholes prices options based on stock price, strike, time, volatility, and interest rates. A call option on a $100 stock with $105 strike, 25% volatility, 3 months to expiry is worth approximately $3.70.

Calculates call and put option premiums using the Black-Scholes model, along with intrinsic value and time value components.

How to use this calculator

1Enter the current stock price.
2Enter the strike price (price at which you can buy/sell).
3Enter time to expiry in years (e.g., 0.25 = 3 months).
4Enter implied volatility % (from the options chain).
5Enter the current risk-free rate (US Treasury rate).

The formula

d₁=ln(S/K)+(r+σ²/2)Tσ√T

Call=S·N(d₁)−K·e^−rT·N(d₂)

d1 = (ln(S/K) + (r + σ²/2)T) ÷ (σ√T); d2 = d1 − σ√T; Call = S·N(d1) − K·e^(−rT)·N(d2); Put = K·e^(−rT)·N(−d2) − S·N(−d1)

S: — Stock price
K: — Strike price
T: — Time to expiry (years)
σ: — Volatility
r: — Risk-free rate

Worked example

The scenario

Stock at $100, $105 strike, 25% volatility, 3 months (0.25 yr), 5% rate.

gives

The result

Call premium: ~$3.70. Put premium: ~$7.40. Intrinsic value: $0 (out-of-the-money). Time value: $3.70.

Common use cases

Price call and put options for trading decisions.
Understand how volatility affects option premiums.
Compare market prices to theoretical Black-Scholes value.
Model how time decay (theta) affects premium as expiry approaches.

Limitations & assumptions

Black-Scholes assumes constant volatility — real markets have volatility smiles/skews.
Assumes European-style options (exercisable only at expiry); American options may command a premium for early exercise.
Does not model dividends (which reduce call and increase put values).
Model breaks down for very deep in-the-money or near-expiry options.

Frequently asked questions

Implied volatility (IV) is the market's expected future price fluctuation, derived from option prices. High IV = expensive options. VIX measures S&P 500 implied volatility — when VIX > 30, options cost roughly twice as much as when VIX = 15.

Disclaimer: KalkWise calculators are provided for general informational and educational purposes only and do not constitute financial, investment, tax, or legal advice. Results are estimates based on the figures you enter and the assumptions described above. Actual outcomes will vary. Consult a qualified professional before making financial decisions.

Options Inputs