BAHAA_CHERIF16
Region: DZ
Thursday 15 February 2024 23:21:50 GMT
57826
4677
63
129
Music
Download
Comments
The best :
ماشااء الله ونعم التربية بصح قليل لي يحس ويفهم 😢😢😢😢😢
2024-02-21 14:45:30
6
ام.ربتاج :
🥰🤲🤲🤲🤲
2024-02-16 09:48:03
2
houhou698 :
قلبي لعبو بيه🥺🥺🥺
2024-02-15 23:28:23
2
kamarbenguesmia :
je te souhaite que du bonheur inchallah 🙏
2024-02-15 23:32:13
2
سـمـرآء💕 سـمـرآء :
الله الله ابدعت 👌👌👌
2024-04-28 23:56:18
2
mimi :
💔
2024-02-15 23:24:15
2
Nina nina 31🥰🍓 :
قلوب قساحت و كل شيء تبدل كنا في حوش واحد يعني باب واحد و دار وحدة
2024-02-19 19:48:43
1
Amine kick boxing :
🥰🥰🥰
2024-02-16 10:11:54
1
Fatoma😍👑 :
ربي يحفظك 🥺🥺
2024-02-16 11:33:14
1
abduelwahab :
kyna frr lah y3tik l khir ♥️
2024-02-16 12:47:36
1
Mîmi Mîmi :
♥️♥️♥️
2024-02-17 11:26:36
1
فهد بن عبد العزيز العتيبي :
🥰
2024-02-17 18:32:49
1
ahlem :
كلام فالقمة 👌 والله
2024-02-17 19:28:29
1
meriem.mer :
تظلمت بصح والله منسمحلهم
2024-02-17 21:27:32
1
sayah31 :
❤
2024-02-18 09:08:17
1
haniamuda8 :
هدرتك في القمة
2024-02-18 16:34:50
1
حبي نور عيني :
ربي يخليك ويسعدك
2024-02-16 20:43:05
1
samirasousou7996 :
صحيح كلامك
2024-02-27 07:48:57
1
la colombe blanche :
صدقت
2024-03-08 20:45:17
1
maliko :
حنا منبلعوش لباب حتى يروح
2024-04-28 12:10:59
1
El’Wahrani 🇩🇿 :
Walh ila khouya tahder hadra ta3 vari vari les homme 🫡
2024-04-30 09:54:22
1
hichemoran311 :
🥰🥰🥰
2024-05-01 22:42:17
1
ℛ :
😞😞😞
2024-05-09 10:25:05
1
👸🏻la reine👸🏻 :
احسن ما نشرت 🌹🌹🌹ابدعت احسن فيديو🥰🌹🙏🏻
2024-06-01 22:40:23
1
wahibachebouba :
الله يحفظك
2024-02-16 01:02:45
1
To see more videos from user @bahaa_cherif16, please go to the Tikwm
homepage.
![➡️ Part 30 of Quantitative Finance From Scratch: the Black-Scholes formula. A call option is the right to buy a stock at a fixed price (the strike) on a fixed date. Fischer Black and Myron Scholes published the formula in 1973 (Journal of Political Economy), Robert Merton derived it another way, and in 1997 Scholes and Merton received the Nobel Memorial Prize in Economic Sciences. Black had died in 1995. C = S N(d1) - K e^(-rt) N(d2), with d1 = [ln(S/K) + (r + σ²/2) t] / (σ √t) and d2 = d1 - σ √t. S is today's stock price, K the strike, r the risk free rate, t the time to expiry in years, σ the volatility, and N the cumulative standard normal distribution. The stock's expected return does not appear, because stock and cash can copy the option. Our test run (blackscholes.py, 16 lines of numpy, seed 30): stock 100, strike 100, 1 year, rate 4 %, volatility 20 %. Then d1 = 0.3, d2 = 0.1, N(d1) = 0.618, N(d2) = 0.540, and the price is 61.79 - 51.87 = 9.93. One million risk neutral Monte Carlo prices give an average discounted payoff of 9.92 (standard error 0.014). With the stock at 100 the same option costs 4.49 with 3 months left and 15.08 with 2 years left. Honest notes: the model assumes a constant volatility and price paths without jumps. If you solve the formula backwards from real option prices, the volatility changes with the strike (the smile), so in practice each option gets its own implied volatility for the stock. #quantfinance #blackscholes #options #finance #python](/video/cover/7699456957379398944.webp)