Contingent-Premium Call Option
Computes the fair premium of a contingent-premium call option, also called pay-later. The buyer pays nothing upfront: the premium is only due at expiry, and even then only if the option finishes in the money. For the deal to be fair, that deferred premium must be larger than a plain call's, compensating for the risk the seller receives nothing. The formula divides the Black-Scholes value by the exercise probability. Enter price, strike, rate, dividend, volatility and term.
Result
—
Contingent-Premium Call Option
Computes the fair premium of a contingent-premium call option, also called pay-later. The buyer pays nothing upfront: the premium is only due at expiry, and even then only if the option finishes in the money. For the deal to be fair, that deferred premium must be larger than a plain call's, compensating for the risk the seller receives nothing. The formula divides the Black-Scholes value by the exercise probability. Enter price, strike, rate, dividend, volatility and term.
The call you only pay for if it works out
Most options demand the premium at the moment of purchase, before anything happens. The contingent-premium option flips that logic: the buyer pays nothing upfront and only pays the premium at expiry, and even then only if the option finishes in the money. It's the financial version of buy now, pay later, and only if it works.
That conditional deferral isn't free. Because the seller risks delivering the right and receiving nothing, should the option expire worthless, the fair contingent premium must be larger than a plain call's to compensate. The math is direct: take the Black-Scholes value of the call and divide by the probability it gets exercised, given by N(d2), the same risk-neutral probability of finishing in the money.
Enter the asset price, the strike, the rate, the dividend, the volatility and the term. The tool returns the fair contingent premium. For the same parameters, it always exceeds the spot premium, and the smaller the exercise chance, the bigger the markup charged, reflecting the extra risk the seller takes on by agreeing to be paid only at the end.
Related Tools
Contingent-Premium Put Option
Computes the fair premium of a contingent-premium (pay-later) put option. As in the call version, the buyer pays only at expiry and only if the put finishes in the money. It's an attractive structure for those wanting protection with no upfront outlay, at the cost of a higher premium if the insurance is actually triggered. The price comes from the Black-Scholes put value divided by the exercise probability. Enter price, strike, rate, dividend, volatility and term.
Call Dual Delta
Computes the dual delta of a call option: the premium's sensitivity to the strike price, that is, dC/dK. While ordinary delta measures the reaction to the underlying's price, dual delta measures how much the option would change if the strike were slightly different. For a call it equals −e^(−rT)·N(d2) and has a practical reading: in absolute terms it approximates the risk-neutral probability of the option finishing in the money. Enter the spot price, the strike, the interest rate, the term in years and the volatility.
Option Veta (Vega Decay)
Computes the veta of an option, the Greek that measures how much the vega changes with each passing day. Since vega captures the premium's sensitivity to volatility, veta shows whether that sensitivity is shrinking over time, and it does: near expiry vega tends to zero, so a call's veta is usually negative. It's a second-order Greek that helps anticipate how the volatility exposure will behave. The result comes per year and per day, for a call with no dividends. Enter the spot price, the strike, the interest rate, the term in years and the volatility.
The results provided by this tool are for general informational and educational purposes only and do not constitute professional, financial, medical, legal, tax or accounting advice. Always confirm important decisions with a qualified professional and official sources.