{"id":7401,"date":"2025-10-11T17:25:01","date_gmt":"2025-10-11T13:25:01","guid":{"rendered":"https:\/\/eoninvestment.com\/?p=7401"},"modified":"2026-04-11T09:36:34","modified_gmt":"2026-04-11T05:36:34","slug":"risk-neutral-vs-replication-in-option-pricing","status":"publish","type":"post","link":"https:\/\/eoninvestment.com\/ka\/2025\/10\/11\/risk-neutral-vs-replication-in-option-pricing\/","title":{"rendered":"\u10e0\u10d8\u10e1\u10d9-\u10dc\u10d4\u10d8\u10e2\u10e0\u10d0\u10da\u10e3\u10e0\u10d8 \u10e1\u10d0\u10db\u10e7\u10d0\u10e0\u10dd\u10e1\u10d0 \u10d3\u10d0 \u10e0\u10d4\u10de\u10da\u10d8\u10d9\u10d0\u10ea\u10d8\u10d8\u10e1 \u10db\u10d4\u10d7\u10dd\u10d3\u10d4\u10d1\u10d8\u10e1 \u10e8\u10d4\u10d3\u10d0\u10e0\u10d4\u10d1\u10d0"},"content":{"rendered":"\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p class=\"wp-block-paragraph\">Risk Neutral-Probability &#8211; \u10db\u10d4\u10d7\u10dd\u10d3\u10d8\u10e1 \u10d2\u10d0\u10db\u10dd\u10e7\u10d4\u10dc\u10d4\u10d1\u10d0 \u10dd\u10e4\u10ea\u10d8\u10d4\u10d1\u10d8\u10e1 \u10e8\u10d4\u10e4\u10d0\u10e1\u10d4\u10d1\u10d0\u10e8\u10d8, \u10ea\u10dd\u10e2\u10d0 \u10d0\u10e0\u10d0\u10d8\u10dc\u10e2\u10e3\u10d8\u10ea\u10d8\u10e3\u10e0\u10d8\u10d0. \u10e0\u10d0\u10e2\u10dd\u10db \u10d0\u10e0 \u10d0\u10e0\u10d8\u10e1 \u10dd\u10e4\u10ea\u10d8\u10d8\u10e1 \u10e4\u10d0\u10e1\u10d8 \u10d3\u10d0\u10db\u10dd\u10d9\u10d8\u10d3\u10d4\u10d1\u10e3\u10da\u10d8 \u10e5\u10d5\u10d4\u10db\u10d3\u10d4\u10d1\u10d0\u10e0\u10d4 \u10d0\u10e5\u10ea\u10d8\u10d8\u10e1 \u10e4\u10d0\u10e1\u10d8\u10e1 \u10db\u10dd\u10da\u10dd\u10d3\u10d8\u10dc\u10d6\u10d4? &#8211; \u10db\u10d8\u10e1\u10d8 \u10d6\u10e0\u10d3\u10d8\u10e1\u10d0 \u10d3\u10d0 \u10e8\u10d4\u10db\u10ea\u10d8\u10e0\u10d4\u10d1\u10d8\u10e1 \u10d0\u10da\u10d1\u10d0\u10d7\u10dd\u10d1\u10d0\u10d6\u10d4? \u10e0\u10d0\u10e2\u10dd\u10db \u10d0\u10e0 \u10d0\u10e5\u10d5\u10e1 \u10db\u10dc\u10d8\u10e8\u10d5\u10dc\u10d4\u10da\u10dd\u10d1\u10d0 \u10d0\u10e5\u10ea\u10d8\u10d8\u10e1 \u10e4\u10d0\u10e1\u10d8\u10e1 \u10d6\u10e0\u10d3\u10d8\u10e1 \u10d0\u10da\u10d1\u10d0\u10d7\u10dd\u10d1\u10d0 95%-\u10d0, \u10d7\u10e3 15%? \u10e0\u10d0\u10e2\u10dd\u10db \u10db\u10e3\u10e8\u10d0\u10dd\u10d1\u10e1 \u10dc\u10d4\u10d8\u10e2\u10e0\u10d0\u10da\u10e3\u10e0\u10d8 \u10e0\u10d8\u10e1\u10d9\u10d8\u10e1 \u10e1\u10d0\u10db\u10e7\u10d0\u10e0\u10dd\u10e8\u10d8 \u10d2\u10d0\u10d9\u10d4\u10d7\u10d4\u10d1\u10e3\u10da\u10d8 \u10d3\u10d0\u10d7\u10d5\u10da\u10d4\u10d1\u10d8 \u10e0\u10d4\u10d0\u10da\u10e3\u10e0\u10d8 \u10e0\u10d8\u10e1\u10d9\u10d4\u10d1\u10d8\u10e1 \u10e1\u10d0\u10db\u10e7\u10d0\u10e0\u10dd\u10e8\u10d8\u10ea?<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u10e1\u10d0\u10e5\u10db\u10d4 \u10d8\u10db\u10d0\u10e8\u10d8\u10d0, \u10e0\u10dd\u10db \u10e9\u10d5\u10d4\u10dc \u10d0\u10e0 \u10d5\u10d0\u10e4\u10d0\u10e1\u10d4\u10d1\u10d7 \u10dd\u10e4\u10ea\u10d8\u10d0\u10e1 \u10d0\u10d1\u10e1\u10dd\u10da\u10d8\u10e2\u10e3\u10e0 \u10db\u10d0\u10e9\u10d5\u10d4\u10dc\u10d4\u10d1\u10da\u10d4\u10d1\u10e8\u10d8, \u10e9\u10d5\u10d4\u10dc \u10d5\u10d0\u10e4\u10d0\u10e1\u10d4\u10d1\u10d7 \u10db\u10d0\u10e1 \u10e0\u10dd\u10d2\u10dd\u10e0\u10ea \u10e5\u10d5\u10d4\u10db\u10d3\u10d4\u10d1\u10d0\u10e0\u10d4 \u10d0\u10e5\u10ea\u10d8\u10d8\u10e1 \u10db\u10d8\u10db\u10d3\u10d8\u10dc\u10d0\u10e0\u10d4 \u10e4\u10d0\u10e1\u10d8\u10e1 \u10e4\u10e3\u10dc\u10e5\u10ea\u10d8\u10d0\u10e1. \u10d0\u10e5\u10ea\u10d8\u10d8\u10e1 \u10e4\u10d0\u10e1\u10d8 \u10d9\u10d8 \u10d7\u10d0\u10d5\u10d8\u10e1 \u10d7\u10d0\u10d5\u10e8\u10d8 \u10e3\u10d9\u10d5\u10d4 \u10db\u10dd\u10d8\u10ea\u10d0\u10d5\u10e1 \u10e0\u10d8\u10e1\u10d9\u10d4\u10d1\u10e1 \u10d3\u10d0 \u10db\u10dd\u10da\u10dd\u10d3\u10d8\u10dc\u10d4\u10d1\u10e1<em> (Options, Futures &#038; Other Derivatives, John C. Hull, Chapter 12, Binomial Trees).<\/em><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u10e8\u10d8\u10dc\u10d0\u10d0\u10e0\u10e1\u10dd\u10d1\u10e0\u10d8\u10d5\u10d0\u10d3, \u10db\u10d4 \u10d0\u10e1\u10d4 \u10d0\u10e6\u10d5\u10d8\u10e5\u10d5\u10d0\u10d5: \u10db\u10d0\u10e0\u10e2\u10d8\u10d5 \u10db\u10dd\u10d3\u10d4\u10da\u10e8\u10d8<a href=\"https:\/\/eoninvestment.com\/2024\/12\/21\/risk-free-world\/\"> (Risk Free World)<\/a> \u10e9\u10d5\u10d4\u10dc \u10d2\u10d5\u10d0\u10e5\u10d5\u10e1 \u10d0\u10e5\u10ea\u10d8\u10d8\u10e1 \u10e4\u10d0\u10e1\u10d8, \u10e0\u10dd\u10db\u10d4\u10da\u10d8\u10ea \u10e8\u10d4\u10d8\u10eb\u10da\u10d4\u10d1\u10d0 \u10d2\u10d0\u10d8\u10d6\u10d0\u10e0\u10d3\u10dd\u10e1 X%-\u10d8\u10d7 \u10d0\u10dc \u10e8\u10d4\u10db\u10ea\u10d8\u10e0\u10d3\u10d4\u10e1 Y%-\u10d8\u10d7. \u10e8\u10d4\u10e1\u10d0\u10d1\u10d0\u10db\u10d8\u10e1\u10d0\u10d3 Call \u10dd\u10e4\u10ea\u10d8\u10d0\u10e1 \u10d4\u10e5\u10dc\u10d4\u10d1\u10d0 \u10dd\u10e0\u10d8 \u10d2\u10d0\u10db\u10dd\u10e1\u10d0\u10d5\u10d0\u10da\u10d8, \u10d3\u10d0\u10d3\u10d4\u10d1\u10d8\u10d7\u10d8 &#8211; \u10d7\u10e3 \u10d0\u10e5\u10ea\u10d8\u10d8\u10e1 \u10e4\u10d0\u10e1\u10d8 \u10d2\u10d0\u10d8\u10d6\u10d0\u10e0\u10d3\u10d0 \u10d3\u10d0 \u10dc\u10e3\u10da\u10d8, \u10d7\u10e3 \u10d0\u10e5\u10ea\u10d8\u10d8\u10e1 \u10e4\u10d0\u10e1\u10d8 \u10e8\u10d4\u10db\u10ea\u10d8\u10e0\u10d3\u10d0. \u10d8\u10db\u10d8\u10e1\u10d7\u10d5\u10d8\u10e1, \u10e0\u10dd\u10db \u10d0\u10e1\u10d4\u10d7 \u10dd\u10e4\u10ea\u10d8\u10d0\u10e8\u10d8 \u10d8\u10dc\u10d5\u10d4\u10e1\u10e2\u10d8\u10ea\u10d8\u10d8\u10e1 PV-\u10e1 \u10d3\u10d0\u10d7\u10d5\u10da\u10d0 \u10db\u10dd\u10ee\u10d3\u10d4\u10e1 \u10e9\u10d5\u10d4\u10dc \u10d2\u10d5\u10ed\u10d8\u10e0\u10d3\u10d4\u10d1\u10d0 \u10d3\u10d8\u10e1\u10d9\u10dd\u10dc\u10e2\u10d8\u10e0\u10d4\u10d1\u10d8\u10e1 \u10d2\u10d0\u10dc\u10d0\u10d9\u10d5\u10d4\u10d7\u10d8, \u10e0\u10dd\u10db\u10d4\u10da\u10d8\u10ea \u10e3\u10ea\u10dc\u10dd\u10d1\u10d8\u10d0 \u10db\u10d8\u10e3\u10ee\u10d4\u10d3\u10d0\u10d5\u10d0\u10d3 \u10d8\u10db\u10d8\u10e1\u10d0 \u10e0\u10dd\u10db \u10ea\u10d5\u10d0\u10da\u10d4\u10d1\u10d0\u10d3\u10dd\u10d1\u10d8\u10e1 (Volatility) \u10d3\u10d8\u10d0\u10de\u10d0\u10d6\u10dd\u10dc\u10d8 \u10d5\u10d8\u10ea\u10d8\u10d7. \u10d5\u10d8\u10ea\u10d8\u10d7 X \u10d3\u10d0 Y, \u10db\u10d0\u10d2\u10e0\u10d0\u10db \u10d0\u10e0 \u10d5\u10d8\u10ea\u10d8\u10d7 \u10e0\u10d4\u10d0\u10da\u10e3\u10e0\u10d8 \u10d0\u10da\u10d1\u10d0\u10d7\u10dd\u10d1\u10d0, \u10e0\u10dd\u10db\u10d4\u10da\u10d8\u10ea \u10db\u10d0\u10d7 \u10e8\u10d4\u10ec\u10dd\u10dc\u10d5\u10d0\u10e8\u10d8 \u10d3\u10d0\u10d2\u10d5\u10d4\u10ee\u10db\u10d0\u10e0\u10d4\u10d1\u10dd\u10d3\u10d0.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u10d7\u10e3\u10db\u10ea\u10d0, \u10d5\u10d8\u10ea\u10d8\u10d7 \u10e0\u10dd\u10db \u10e0\u10d8\u10e1\u10d9\u10d8\u10d0\u10dc\u10d8 \u10e4\u10e3\u10da\u10d0\u10d3\u10d8 \u10dc\u10d0\u10d9\u10d0\u10d3\u10d4\u10d1\u10d8\u10e1  \u10d3\u10d0\u10d3\u10d8\u10e1\u10d9\u10dd\u10dc\u10e2\u10d8\u10e0\u10d4\u10d1\u10d0 \u10e8\u10d4\u10e1\u10d0\u10d1\u10d0\u10db\u10d8\u10e1\u10d8 \u10d2\u10d0\u10dc\u10d0\u10d9\u10d5\u10d4\u10d7\u10d8\u10d7, \u10d3\u10d0 \u10e3\u10e0\u10d8\u10e1\u10d9\u10dd \u10e4\u10e3\u10da\u10d0\u10d3\u10d8 \u10dc\u10d0\u10d9\u10d0\u10d3\u10d4\u10d1\u10d8\u10e1 \u10d3\u10d0\u10d3\u10d8\u10e1\u10d9\u10dd\u10dc\u10e2\u10d8\u10e0\u10d4\u10d1\u10d0 \u10e3\u10e0\u10d8\u10e1\u10d9\u10dd \u10d2\u10d0\u10dc\u10d0\u10d9\u10d5\u10d4\u10d7\u10d8\u10d7, \u10d4\u10e0\u10d7\u10d8\u10d3\u10d0\u10d8\u10d2\u10d8\u10d5\u10d4 PV-\u10e1 \u10db\u10dd\u10d2\u10d5\u10ea\u10d4\u10db\u10e1. \u10d0\u10e5\u10d4\u10d3\u10d0\u10dc \u10d2\u10d0\u10db\u10dd\u10db\u10d3\u10d8\u10dc\u10d0\u10e0\u10d4, \u10e9\u10d5\u10d4\u10dc \u10e8\u10d4\u10d2\u10d5\u10d8\u10eb\u10da\u10d8\u10d0 \u10d0\u10da\u10d1\u10d0\u10d7\u10dd\u10d1\u10d4\u10d1\u10d8 \u10db\u10dd\u10d5\u10d0\u10e0\u10d2\u10dd\u10d7 \u10d8\u10e1\u10d4 \u10e0\u10dd\u10db X% \u10d3\u10d0 Y%-\u10d8\u10e1 \u10e8\u10d4\u10ec\u10dd\u10dc\u10d5\u10d8\u10d7 \u10e3\u10e0\u10d8\u10e1\u10d9\u10dd \u10d2\u10d0\u10dc\u10d0\u10d9\u10d5\u10d4\u10d7\u10d8 \u10db\u10d8\u10d5\u10d8\u10e6\u10dd\u10d7. \u10d0\u10dc\u10e3, \u10d2\u10d5\u10d4\u10ea\u10dd\u10d3\u10d8\u10dc\u10d4\u10d1\u10d0 \u10e0\u10d8\u10e1\u10d9\u10d8\u10e1 \u10db\u10d8\u10db\u10d0\u10e0\u10d7 \u10dc\u10d4\u10d8\u10e2\u10e0\u10d0\u10da\u10e3\u10e0\u10d8 \u10e4\u10e3\u10da\u10d0\u10d3\u10d8 \u10dc\u10d0\u10d9\u10d0\u10d3\u10d4\u10d1\u10d8\u10e1 \u10e8\u10d4\u10db\u10d7\u10ee\u10d5\u10d4\u10d0\u10e8\u10d8 \u10e0\u10dd\u10d2\u10dd\u10e0\u10d8 \u10d8\u10e5\u10dc\u10d4\u10d1\u10dd\u10d3\u10d0 \u10d6\u10e0\u10d3\u10d8\u10e1\u10d0 \u10d3\u10d0 \u10e8\u10d4\u10db\u10ea\u10d8\u10e0\u10d4\u10d1\u10d8\u10e1 \u10d0\u10da\u10d1\u10d0\u10d7\u10dd\u10d1\u10d4\u10d1\u10d8. \u10e8\u10d4\u10e1\u10d0\u10d1\u10d0\u10db\u10d8\u10e1\u10d0\u10d3, \u10d0\u10db \u10d0\u10da\u10d1\u10d0\u10d7\u10dd\u10d1\u10d4\u10d1\u10d8\u10e1 \u10d2\u10d0\u10db\u10dd\u10e7\u10d4\u10dc\u10d4\u10d1\u10d8\u10d7 \u10e8\u10d4\u10ec\u10dd\u10dc\u10d8\u10da\u10d8 \u10dd\u10e4\u10ea\u10d8\u10d8\u10e1 \u10e8\u10d4\u10db\u10dd\u10e1\u10d0\u10d5\u10da\u10d8\u10e1 \u10d3\u10d0\u10d3\u10d8\u10e1\u10d9\u10dd\u10dc\u10e2\u10d8\u10e0\u10d4\u10d1\u10d0 \u10e3\u10e0\u10d8\u10e1\u10d9\u10dd \u10d2\u10d0\u10dc\u10d0\u10d9\u10d5\u10d4\u10d7\u10d8\u10d7 \u10db\u10dd\u10d2\u10d5\u10ea\u10d4\u10db\u10e1 \u10dd\u10e4\u10ea\u10d8\u10d8\u10e1 \u10e1\u10d0\u10db\u10d0\u10e0\u10d7\u10da\u10d8\u10d0\u10dc \u10e4\u10d0\u10e1\u10e1.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u10d0\u10e5, \u10e1\u10d0\u10d8\u10dc\u10e2\u10d4\u10e0\u10d4\u10e1\u10dd \u10d8\u10e1 \u10db\u10dd\u10db\u10d4\u10dc\u10e2\u10d8\u10d0 \u10e0\u10dd\u10db \u10d0\u10e6\u10dc\u10d8\u10e8\u10dc\u10e3\u10da\u10d8 \u10db\u10d4\u10d7\u10dd\u10d3\u10d8\u10d7 \u10db\u10d8\u10e6\u10d4\u10d1\u10e3\u10da\u10d8 \u10e1\u10d0\u10db\u10d0\u10e0\u10d7\u10da\u10d8\u10d0\u10dc\u10d8 \u10e4\u10d0\u10e1\u10d8 \u10d4\u10db\u10d7\u10ee\u10d5\u10d4\u10d5\u10d0 \u10d0\u10e5\u10e2\u10d8\u10d5\u10d4\u10d1\u10d8\u10e1 \u10e0\u10d4\u10de\u10da\u10d8\u10d9\u10d0\u10ea\u10d8\u10d8\u10d7 (\u0394 Stock + Bond), \u10db\u10d8\u10e6\u10d4\u10d1\u10e3\u10da \u10e1\u10d0\u10db\u10d0\u10e0\u10d7\u10da\u10d8\u10d0\u10dc \u10e4\u10d0\u10e1\u10e1 (<a href=\"https:\/\/eoninvestment.com\/2024\/12\/21\/portfolio-replication-method\/\">Portfolio Replication Method).<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">P.S.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u10d0\u10db\u10d0\u10e1\u10d7\u10d0\u10dc, \u10e0\u10dd\u10d2\u10dd\u10e0\u10ea ChatGPT-\u10d8\u10db \u10db\u10d8\u10e9\u10d5\u10d4\u10dc\u10d0 \u10d4\u10e1 \u10dd\u10e0\u10d8 \u10db\u10d4\u10d7\u10dd\u10d3\u10d8 (\u10e0\u10dd\u10db\u10d4\u10da\u10d8\u10ea \u10dd\u10e0 \u10e1\u10ee\u10d5\u10d0\u10d3\u10d0\u10e1\u10ee\u10d5\u10d0 \u10db\u10d4\u10d7\u10dd\u10d3\u10d0\u10d3 \u10db\u10dd\u10d8\u10ee\u10e1\u10d4\u10dc\u10d4\u10d1\u10d0 \u10d0\u10d9\u10d0\u10d3\u10d4\u10db\u10d8\u10e3\u10e0 \u10da\u10d8\u10e2\u10d4\u10e0\u10d0\u10e2\u10e3\u10e0\u10d0\u10e8\u10d8) \u10e1\u10d8\u10dc\u10d0\u10db\u10d3\u10d5\u10d8\u10da\u10d4\u10e8\u10d8 \u10d4\u10e0\u10d7\u10db\u10d0\u10dc\u10d4\u10d7\u10e1 \u10d2\u10d0\u10e0\u10d3\u10d0\u10db\u10d0\u10d5\u10d0\u10da\u10d8 \u10d0\u10da\u10d2\u10d4\u10d1\u10e0\u10d8\u10d7 \u10e3\u10d9\u10d0\u10d5\u10e8\u10d8\u10e0\u10d3\u10d4\u10d1\u10d0:<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><a href=\"https:\/\/i0.wp.com\/eoninvestment.com\/wp-content\/uploads\/2025\/10\/image-10.png?ssl=1\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"616\" height=\"218\" data-attachment-id=\"7433\" data-permalink=\"https:\/\/eoninvestment.com\/ka\/2025\/10\/11\/risk-neutral-vs-replication-in-option-pricing\/image-562\/\" data-orig-file=\"https:\/\/i0.wp.com\/eoninvestment.com\/wp-content\/uploads\/2025\/10\/image-10.png?fit=971%2C343&amp;ssl=1\" data-orig-size=\"971,343\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"image\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/eoninvestment.com\/wp-content\/uploads\/2025\/10\/image-10.png?fit=616%2C218&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/eoninvestment.com\/wp-content\/uploads\/2025\/10\/image-10.png?resize=616%2C218&#038;ssl=1\" alt=\"\" class=\"wp-image-7433\"\/><\/a><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><a href=\"https:\/\/i0.wp.com\/eoninvestment.com\/wp-content\/uploads\/2025\/10\/image-11.png?ssl=1\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"616\" height=\"211\" data-attachment-id=\"7435\" data-permalink=\"https:\/\/eoninvestment.com\/ka\/2025\/10\/11\/risk-neutral-vs-replication-in-option-pricing\/image-563\/\" data-orig-file=\"https:\/\/i0.wp.com\/eoninvestment.com\/wp-content\/uploads\/2025\/10\/image-11.png?fit=983%2C337&amp;ssl=1\" data-orig-size=\"983,337\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"image\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/eoninvestment.com\/wp-content\/uploads\/2025\/10\/image-11.png?fit=616%2C211&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/eoninvestment.com\/wp-content\/uploads\/2025\/10\/image-11.png?resize=616%2C211&#038;ssl=1\" alt=\"\" class=\"wp-image-7435\"\/><\/a><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><a href=\"https:\/\/i0.wp.com\/eoninvestment.com\/wp-content\/uploads\/2025\/10\/image-12.png?ssl=1\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"616\" height=\"214\" data-attachment-id=\"7436\" data-permalink=\"https:\/\/eoninvestment.com\/ka\/2025\/10\/11\/risk-neutral-vs-replication-in-option-pricing\/image-564\/\" data-orig-file=\"https:\/\/i0.wp.com\/eoninvestment.com\/wp-content\/uploads\/2025\/10\/image-12.png?fit=980%2C341&amp;ssl=1\" data-orig-size=\"980,341\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"image\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/eoninvestment.com\/wp-content\/uploads\/2025\/10\/image-12.png?fit=616%2C214&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/eoninvestment.com\/wp-content\/uploads\/2025\/10\/image-12.png?resize=616%2C214&#038;ssl=1\" alt=\"\" class=\"wp-image-7436\"\/><\/a><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><a href=\"https:\/\/i0.wp.com\/eoninvestment.com\/wp-content\/uploads\/2025\/10\/image-13.png?ssl=1\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"616\" height=\"317\" data-attachment-id=\"7437\" data-permalink=\"https:\/\/eoninvestment.com\/ka\/2025\/10\/11\/risk-neutral-vs-replication-in-option-pricing\/image-565\/\" data-orig-file=\"https:\/\/i0.wp.com\/eoninvestment.com\/wp-content\/uploads\/2025\/10\/image-13.png?fit=968%2C498&amp;ssl=1\" data-orig-size=\"968,498\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"image\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/eoninvestment.com\/wp-content\/uploads\/2025\/10\/image-13.png?fit=616%2C317&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/eoninvestment.com\/wp-content\/uploads\/2025\/10\/image-13.png?resize=616%2C317&#038;ssl=1\" alt=\"\" class=\"wp-image-7437\"\/><\/a><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Risk Neutral-Probability &#8211; \u10db\u10d4\u10d7\u10dd\u10d3\u10d8\u10e1 \u10d2\u10d0\u10db\u10dd\u10e7\u10d4\u10dc\u10d4\u10d1\u10d0 \u10dd\u10e4\u10ea\u10d8\u10d4\u10d1\u10d8\u10e1 \u10e8\u10d4\u10e4\u10d0\u10e1\u10d4\u10d1\u10d0\u10e8\u10d8, \u10ea\u10dd\u10e2\u10d0 \u10d0\u10e0\u10d0\u10d8\u10dc\u10e2\u10e3\u10d8\u10ea\u10d8\u10e3\u10e0\u10d8\u10d0. \u10e0\u10d0\u10e2\u10dd\u10db \u10d0\u10e0 \u10d0\u10e0\u10d8\u10e1 \u10dd\u10e4\u10ea\u10d8\u10d8\u10e1 \u10e4\u10d0\u10e1\u10d8 \u10d3\u10d0\u10db\u10dd\u10d9\u10d8\u10d3\u10d4\u10d1\u10e3\u10da\u10d8 \u10e5\u10d5\u10d4\u10db\u10d3\u10d4\u10d1\u10d0\u10e0\u10d4 \u10d0\u10e5\u10ea\u10d8\u10d8\u10e1 \u10e4\u10d0\u10e1\u10d8\u10e1 \u10db\u10dd\u10da\u10dd\u10d3\u10d8\u10dc\u10d6\u10d4? &#8211; \u10db\u10d8\u10e1\u10d8 \u10d6\u10e0\u10d3\u10d8\u10e1\u10d0 \u10d3\u10d0 \u10e8\u10d4\u10db\u10ea\u10d8\u10e0\u10d4\u10d1\u10d8\u10e1 \u10d0\u10da\u10d1\u10d0\u10d7\u10dd\u10d1\u10d0\u10d6\u10d4? \u10e0\u10d0\u10e2\u10dd\u10db \u10d0\u10e0 \u10d0\u10e5\u10d5\u10e1 \u10db\u10dc\u10d8\u10e8\u10d5\u10dc\u10d4\u10da\u10dd\u10d1\u10d0 \u10d0\u10e5\u10ea\u10d8\u10d8\u10e1 \u10e4\u10d0\u10e1\u10d8\u10e1 \u10d6\u10e0\u10d3\u10d8\u10e1 \u10d0\u10da\u10d1\u10d0\u10d7\u10dd\u10d1\u10d0 95%-\u10d0, \u10d7\u10e3 15%? \u10e0\u10d0\u10e2\u10dd\u10db \u10db\u10e3\u10e8\u10d0\u10dd\u10d1\u10e1 \u10dc\u10d4\u10d8\u10e2\u10e0\u10d0\u10da\u10e3\u10e0\u10d8 \u10e0\u10d8\u10e1\u10d9\u10d8\u10e1 \u10e1\u10d0\u10db\u10e7\u10d0\u10e0\u10dd\u10e8\u10d8 \u10d2\u10d0\u10d9\u10d4\u10d7\u10d4\u10d1\u10e3\u10da\u10d8 \u10d3\u10d0\u10d7\u10d5\u10da\u10d4\u10d1\u10d8 \u10e0\u10d4\u10d0\u10da\u10e3\u10e0\u10d8 \u10e0\u10d8\u10e1\u10d9\u10d4\u10d1\u10d8\u10e1 \u10e1\u10d0\u10db\u10e7\u10d0\u10e0\u10dd\u10e8\u10d8\u10ea? \u10e1\u10d0\u10e5\u10db\u10d4 \u10d8\u10db\u10d0\u10e8\u10d8\u10d0, \u10e0\u10dd\u10db \u10e9\u10d5\u10d4\u10dc \u10d0\u10e0 \u10d5\u10d0\u10e4\u10d0\u10e1\u10d4\u10d1\u10d7 \u10dd\u10e4\u10ea\u10d8\u10d0\u10e1 \u10d0\u10d1\u10e1\u10dd\u10da\u10d8\u10e2\u10e3\u10e0 \u10db\u10d0\u10e9\u10d5\u10d4\u10dc\u10d4\u10d1\u10da\u10d4\u10d1\u10e8\u10d8, 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