// multi-utility computation suite · offline · instant · precise
┌──────────────────────────┐
│ [c] calcalyst_ │
│ computation suite │
└──────────────────────────┘
// select a module to initialize
/ search↵ open firstesc close
// adsenseEMPTY_LEADER_SLOT728×90
// adsenseMOBILE_ANCHOR_SLOT320×50
// keyboard_shortcuts
/focus search
↑↓navigate module list
Enter
open first result from search
open highlighted
compute when module is open
compute when focused in a field
Escclose module · clear selection
⌫
fin.black-scholes-put Calculator
Calculates Black-Scholes put option price from spot, strike, time to expiry, volatility, and risk-free rate. Put-call parity links put and call prices — given a call price, the put price is fully determined without separately solving Black-Scholes.
Inputs
Spot
Current market price for immediate delivery. The starting point for options and derivatives pricing.
Strike
Reference formula or conversion factor shown for context.
Time Days
Reference formula or conversion factor shown for context.
Volatility Pct
Annualised standard deviation of returns, as a decimal (e.g. 0.2 for 20%). Higher volatility increases option value. Implied vol is derived from market prices.
Risk Free Pct
Return on a theoretically safe investment like a government T-bill. The baseline return everything else is compared against. Enter as a decimal (e.g. 0.05 for 5%).
Results
put option price ($)
Value of the right (not obligation) to SELL the underlying at the strike price. Valuable when market price falls below strike. Used for hedging or speculation on price declines.
call (put-call parity) ($)
Reference formula or conversion factor shown for context.
put delta
The change (final minus initial) in the quantity.
moneyness
Sample size or count used in the calculation.
d₁
Reference formula or conversion factor shown for context.
put-call parity: P = C - S + K·e^(-rT)
Reference formula or conversion factor shown for context.