What is the Black-Scholes Option Pricing?
Use the free Black-Scholes Option Pricing to solve your problems. This online tool requires no accounts or downloads. Type your input values. The calculator outputs precise answers in real time. It runs the formula C = S*N(d1) - K*e^(-rT)*N(d2) to compute results.
You can use this tool for school work, homework, or quick everyday calculations. Every solver on CalcUnit.net is built to be accurate and fast. It works on mobile screens and computers.
How to Use the Black-Scholes Option Pricing
- 1Open the Black-Scholes Option Pricing on CalcUnit.net.
- 2Type your numbers in the input boxes. The calculator computes the outputs automatically.
- 3Click the unit selector to switch units if needed.
- 4Watch the results update instantly as you type. You do not need to click solve.
- 5Click the bookmark icon to save this page for later.
- 6Click the examples buttons to load preset numbers and see how calculations work.
Formula
This is the core equation the Black-Scholes Option Pricing uses to calculate results. Enter values in the calculator above to see it in action.
Common Examples
| Scenario | Calculation | Result |
|---|---|---|
| Standard Calculation | Calculate black-scholes option pricing using common values | Check the outputs above |
| Custom Input | Change the numbers to match your specific problem | Result updates instantly |
| Extreme Values | Type zero or large values to test formulas | Solver handles edge cases correctly |
Value Reference Table
Explore calculated outputs for standard inputs. Calculated in real time using the formula.
| Current Stock Price | d1 | d2 | Call Option Price | Put Option Price | Call Delta | Put Delta |
|---|---|---|---|---|---|---|
| 1 Current Stock Price | -22.6759 | -22.8759 | -0.00 | 94.12 | 0.0000 | -1.0000 |
| 2 Current Stock Price | -19.2101 | -19.4101 | -0.00 | 93.12 | 0.0000 | -1.0000 |
| 5 Current Stock Price | -14.6287 | -14.8287 | -0.00 | 90.12 | 0.0000 | -1.0000 |
| 10 Current Stock Price | -11.1629 | -11.3629 | -0.00 | 85.12 | 0.0000 | -1.0000 |
| 20 Current Stock Price | -7.6972 | -7.8972 | -0.00 | 75.12 | 0.0000 | -1.0000 |
| 50 Current Stock Price | -3.1157 | -3.3157 | -0.09 | 45.03 | 0.0050 | -0.9950 |
| 100 Current Stock Price | 0.3500 | 0.1500 | 10.86 | 5.98 | 0.6445 | -0.3555 |
| 250 Current Stock Price | 4.9315 | 4.7315 | 154.85 | -0.03 | 0.9998 | -0.0002 |
| 500 Current Stock Price | 8.3972 | 8.1972 | 404.88 | -0.00 | 1.0000 | -0.0000 |
| 1000 Current Stock Price | 11.8629 | 11.6629 | 904.88 | -0.00 | 1.0000 | -0.0000 |
Practice Problems
Check your understanding with these practice problems. Click a problem to reveal its correct calculated answer.
Find the calculation output for an input value of 5 Current Stock Price.
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Find the calculation output for an input value of 20 Current Stock Price.
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Find the calculation output for an input value of 100 Current Stock Price.
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Find the calculation output for an input value of 250 Current Stock Price.
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Find the calculation output for an input value of 1000 Current Stock Price.
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Calculation Progression Roadmap
The internal flow diagram outlining how the calculator processes and solves input values.
Parameter Identification
Identify and input all required scalar variables and initial conditions.
Unit Standardization
Convert all input values to standardized baseline units.
Equation Evaluation
Evaluate the primary mathematical equations using topological solver sequence.
Precision Control
Apply numerical rounding and control decimals based on standard tolerances.
Multi-unit Conversion
Project outputs across various metric and imperial scales for comparison.
Real-World Examples
Discover how this formula applies to active professional, academic, and industrial workflows.
Industrial & Manufacturing
In a industrial & manufacturing setting, an operator inputs 10 Current Stock Price. The calculated standard outcome resolves to d1: -11.1629, d2: -11.3629, Call Option Price: -0.00, Put Option Price: 85.12, Call Delta: 0.0000, Put Delta: -1.0000.
Academic Homework & Exams
In a academic homework & exams setting, an operator inputs 50 Current Stock Price. The calculated standard outcome resolves to d1: -3.1157, d2: -3.3157, Call Option Price: -0.09, Put Option Price: 45.03, Call Delta: 0.0050, Put Delta: -0.9950.
Professional Engineering Audit
In a professional engineering audit setting, an operator inputs 200 Current Stock Price. The calculated standard outcome resolves to d1: 3.8157, d2: 3.6157, Call Option Price: 104.78, Put Option Price: -0.10, Call Delta: 0.9985, Put Delta: -0.0015.
Laboratory & Research Work
In a laboratory & research work setting, an operator inputs 500 Current Stock Price. The calculated standard outcome resolves to d1: 8.3972, d2: 8.1972, Call Option Price: 404.88, Put Option Price: -0.00, Call Delta: 1.0000, Put Delta: -0.0000.
DIY Project Calculations
In a diy project calculations setting, an operator inputs 1000 Current Stock Price. The calculated standard outcome resolves to d1: 11.8629, d2: 11.6629, Call Option Price: 904.88, Put Option Price: -0.00, Call Delta: 1.0000, Put Delta: -0.0000.
Quick Facts
- Formula:
C = S*N(d1) - K*e^(-rT)*N(d2) - Category: stocks
- Uses: Black-Scholes, options, call, put
- Price: Free — no account needed
Frequently Asked Questions
The Black-Scholes Option Pricing is a free online solver. It helps you price european call and put options using the black-scholes options pricing model. You do not need to register or install files.