Options Pricing
Medium · How do you Price an Option?Black–Scholes option pricing with a historical-data Streamlit app and an interactive calculator.
Black–Scholes calculator
European option pricing
Educational modelModel assumptions
European exercise · no dividends
Strike $100 · annual rate 4%
Hypothetical inputs. No market data.
- Model price
- $11.84
- Delta
- 0.612
- Gamma
- 0.015
Option price ($)Underlying price ($)
- Call price
View chart data
| Underlying price ($) | Call price |
|---|---|
| 70 | 0.9961 |
| 71 | 1.129 |
| 72 | 1.2743 |
| 73 | 1.4326 |
| 74 | 1.6046 |
| 75 | 1.7907 |
| 76 | 1.9914 |
| 77 | 2.2072 |
| 78 | 2.4385 |
| 79 | 2.6857 |
| 80 | 2.9492 |
| 81 | 3.2293 |
| 82 | 3.5262 |
| 83 | 3.8403 |
| 84 | 4.1716 |
| 85 | 4.5204 |
| 86 | 4.8867 |
| 87 | 5.2706 |
| 88 | 5.6723 |
| 89 | 6.0916 |
| 90 | 6.5285 |
| 91 | 6.983 |
| 92 | 7.455 |
| 93 | 7.9443 |
| 94 | 8.4507 |
| 95 | 8.9741 |
| 96 | 9.5143 |
| 97 | 10.0709 |
| 98 | 10.6438 |
| 99 | 11.2326 |
| 100 | 11.837 |
| 101 | 12.4568 |
| 102 | 13.0916 |
| 103 | 13.741 |
| 104 | 14.4047 |
| 105 | 15.0823 |
| 106 | 15.7735 |
| 107 | 16.4778 |
| 108 | 17.1949 |
| 109 | 17.9244 |
| 110 | 18.6659 |
| 111 | 19.419 |
| 112 | 20.1833 |
| 113 | 20.9585 |
| 114 | 21.7442 |
| 115 | 22.54 |
| 116 | 23.3454 |
| 117 | 24.1603 |
| 118 | 24.9841 |
| 119 | 25.8165 |
| 120 | 26.6573 |
| 121 | 27.506 |
| 122 | 28.3623 |
| 123 | 29.2259 |
| 124 | 30.0965 |
| 125 | 30.9738 |
| 126 | 31.8574 |
| 127 | 32.7472 |
| 128 | 33.6428 |
| 129 | 34.5439 |
| 130 | 35.4503 |