| 1 |
| 00:00:22,050 --> 00:00:27,550 |
| طيب بسم الله الرحمن الرحيم في المحاضرة الماضية كنا نحكي |
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| 2 |
| 00:00:27,550 --> 00:00:32,110 |
| عن ال .. إذا كانت ال observation .. if the |
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| 3 |
| 00:00:32,110 --> 00:00:35,130 |
| observation is not following the normal distribution |
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| 4 |
| 00:00:35,130 --> 00:00:40,490 |
| إذا كانت البيانات ما بتتبعش التوزيع الطبيعي okay so |
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| 5 |
| 00:00:40,490 --> 00:00:46,030 |
| how we know the data is not following the normal |
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| 6 |
| 00:00:46,030 --> 00:00:50,300 |
| distribution? We check the skewness (skew) and we .. |
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| 7 |
| 00:00:50,300 --> 00:00:54,660 |
| we check the kurtosis. احنا بنعمل check على ال .. |
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| 8 |
| 00:00:54,660 --> 00:00:59,860 |
| الالتواء و على التفلطح بيسموه ال skew أو skewness و ال |
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| 9 |
| 00:00:59,860 --> 00:01:05,780 |
| .. و ال kurtosis زي ما احنا شوفنا المرة الفاتة و |
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| 10 |
| 00:01:05,780 --> 00:01:06,960 |
| احنا رسمنا مع بعض |
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| 11 |
| 00:01:14,280 --> 00:01:19,340 |
| Okay زي ما تشوف now if you look at this black one |
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| 12 |
| 00:01:19,340 --> 00:01:25,120 |
| so it's skewed to the right if you look at the |
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| 13 |
| 00:01:25,120 --> 00:01:32,520 |
| blue one it's skewed to the left so you have to |
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| 14 |
| 00:01:32,520 --> 00:01:38,680 |
| think on three things in skewness if it's skewed |
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| 15 |
| 00:01:40,320 --> 00:01:45,340 |
| وإذا ال data is 0 فهذا يعني تحقيقنا لنمو عادي |
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| 16 |
| 00:01:45,340 --> 00:01:56,400 |
| إذا ال skew هو موجب وهو أكبر من 0 فال data هو |
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| 17 |
| 00:01:56,400 --> 00:02:02,380 |
| skewed إلى اليسار وإذا |
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| 18 |
| 00:02:02,380 --> 00:02:06,900 |
| ال skew هو سالب إلى اليسار |
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| 19 |
| 00:02:08,690 --> 00:02:14,230 |
| إذا كانت على اليسار، يعني أن المستثمرين يتجنبون |
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| 20 |
| 00:02:14,230 --> 00:02:20,570 |
| المخاطر، يتجنبون المخاطر |
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| 21 |
| 00:02:20,570 --> 00:02:25,090 |
| إذا كانت تتجنب على اليسار، يعني أن المستثمرين |
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| 22 |
| 00:02:25,090 --> 00:02:33,250 |
| يتجنبون المخاطر، يتجنبون المخاطر، يتجنبون المخاطر، يتجنبون |
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| 23 |
| 00:02:33,250 --> 00:02:33,410 |
| المخاطر، يتجنبون المخاطر، يتجنبون المخاطر، يتجنبون المخاطر |
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| 24 |
| 00:02:33,410 --> 00:02:33,530 |
| يتجنبون المخاطر، يتجنبون المخاطر، يتجنبون المخاطر، يتجنبون |
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| 25 |
| 00:02:33,530 --> 00:02:33,550 |
| المخاطر، يتجنبون المخاطر، يتجنبون المخاطر، يتجنبون المخاطر |
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| 26 |
| 00:02:33,550 --> 00:02:35,750 |
| يتجنبون المخاطر، يتجنبون المخاطر، يتجنبون المخاطر، يتجنبون |
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| 27 |
| 00:02:35,750 --> 00:02:41,100 |
| المخاطر. المشكلة هي عندما تكون الملاحظة مرسومة إلى |
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| 28 |
| 00:02:41,100 --> 00:02:47,500 |
| اليسار لأن ما يعنيه .. انظر .. انظر هنا .. فقط .. |
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| 29 |
| 00:02:47,500 --> 00:02:53,940 |
| يعني أننا لدينا عدد .. لدينا البيانات مثل هذه .. |
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| 30 |
| 00:02:53,940 --> 00:02:58,660 |
| لذلك إذا كنت نتخيل البيانات .. إذا كنا نتخيل عدد |
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| 31 |
| 00:02:58,660 --> 00:03:03,700 |
| هذا البيانات .. عددها أو الوسط يجب أن يكون موجود |
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| 32 |
| 00:03:03,700 --> 00:03:08,720 |
| في الوسط. Okay should be located in the middle for |
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| 33 |
| 00:03:08,720 --> 00:03:14,760 |
| instance take this example here if you have like |
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| 34 |
| 00:03:14,760 --> 00:03:23,940 |
| this observation 9% 10% or let's say 12% this is R |
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| 35 |
| 00:03:23,940 --> 00:03:30,960 |
| okay إذا أخذنا بيانات ل R لليوم الأول for instance |
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| 36 |
| 00:03:30,960 --> 00:03:38,560 |
| لليوم الثاني الثالث الرابع الخامس السادس بيانات R |
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| 37 |
| 00:03:38,560 --> 00:03:42,500 |
| اللي هو ال R ال expected return إذا أخذنا ال R أو |
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| 38 |
| 00:03:42,500 --> 00:03:49,560 |
| ال daily return أخذنا 12% أو for instance 11% 10% |
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| 39 |
| 00:03:49,560 --> 00:03:55,930 |
| 7% 6% if we calculate the average إذا قمنا بحساب |
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| 40 |
| 00:03:55,930 --> 00:04:03,390 |
| مجموع هذا العدد أو مجموع العائد هو 12 plus 11 plus 10 |
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| 41 |
| 00:04:03,390 --> 00:04:11,830 |
| plus 9 plus 7 plus 6 divided by 1 2 3 4 5 6 مقسومة |
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| 42 |
| 00:04:11,830 --> 00:04:18,030 |
| على 6 احسبوها كم تطلع؟ إذا كان لدينا ملاحظات مثل |
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| 43 |
| 00:04:18,030 --> 00:04:18,330 |
| هذه؟ |
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| 44 |
| 00:04:24,020 --> 00:04:29,080 |
| سرعة القلات دائماً تكون twelve |
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| 45 |
| 00:04:29,080 --> 00:04:36,540 |
| percent eleven nine seven and finally six six |
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| 46 |
| 00:04:36,540 --> 00:04:42,840 |
| percent nine point one okay so the arithmetic or |
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| 47 |
| 00:04:42,840 --> 00:04:45,800 |
| the average is nine point one look at here so nine |
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| 48 |
| 00:04:45,800 --> 00:04:53,860 |
| point one is located here or somewhere here. مع ذلك |
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| 49 |
| 00:04:53,860 --> 00:05:00,220 |
| يعني أن الملاحظة أو البيانات أو عدد البيانات يكون |
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| 50 |
| 00:05:00,220 --> 00:05:05,440 |
| بين 9 و 10 وهو حوالي نصف البيانات أو تقسيم |
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| 51 |
| 00:05:05,440 --> 00:05:12,040 |
| البيانات إلى جزئين أساسيين، هذا يكون حوالي جزئين |
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| 52 |
| 00:05:12,040 --> 00:05:19,000 |
| كهذا، كما قلت إن هذا الجزء الصحيح هو مظهر اليسار |
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| 53 |
| 00:05:19,000 --> 00:05:24,100 |
| الذي يعني أن البيانات تتبع التوزيع الطبيعي لكن |
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| 54 |
| 00:05:24,100 --> 00:05:30,540 |
| المشكلة هي إذا كان لدينا قيم أعظم إذا كان لدينا |
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| 55 |
| 00:05:30,540 --> 00:05:34,960 |
| قيم أعظم أو ما يسمونه الـ outliers إذا كان لدينا |
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| 56 |
| 00:05:34,960 --> 00:05:38,720 |
| outliers على سبيل المثال دعونا نضيف شيء إلى هذه |
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| 57 |
| 00:05:38,720 --> 00:05:45,150 |
| البيانات. إذا كان لدينا الخطر هو مثلًا يوم واحد نقوم |
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| 58 |
| 00:05:45,150 --> 00:05:57,250 |
| بتسجيل حوالي 400% و 300% ما نشاهده في هذا البرنامج |
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| 59 |
| 00:05:57,250 --> 00:05:59,830 |
| إذا قمنا بتسجيل هذه المعلومات لدينا هذه المعلومات |
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| 60 |
| 00:05:59,830 --> 00:06:05,030 |
| الآن لدينا هذه المعلومات الآن و يبدو مثلًا هذا |
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| 61 |
| 00:06:05,030 --> 00:06:10,910 |
| المعلومات يبدو مثلًا هذا. هذا الاختلاف الكبير بين |
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| 62 |
| 00:06:10,910 --> 00:06:13,550 |
| الاثنين الملاحظات والمقالات المختلفة من الملاحظات |
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| 63 |
| 00:06:13,550 --> 00:06:19,530 |
| هذا يسمى قيم متطرفة أو أقل قيم أخرى أو أقل قيم |
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| 64 |
| 00:06:19,530 --> 00:06:27,030 |
| أخرى نسميهم قيم متطرفة أو أقل قيم أخرى نسميهم قيم |
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| 65 |
| 00:06:27,030 --> 00:06:27,270 |
| متطرفة نسميهم قيم متطرفة نسميهم قيم متطرفة نسميهم قيم |
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| 66 |
| 00:06:27,270 --> 00:06:27,390 |
| متطرفة نسميهم قيم متطرفة نسميهم قيم متطرفة نسميهم قيم |
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| 67 |
| 00:06:27,390 --> 00:06:27,850 |
| متطرفة نسميهم قيم متطرفة نسميهم قيم متطرفة نسميهم قيم |
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| 68 |
| 00:06:27,850 --> 00:06:29,840 |
| متطرفة نسميهم قيم متطرفة نسميهم. نعيدوا احتساب ال |
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| 69 |
| 00:06:29,840 --> 00:06:35,300 |
| average. هنعيد احتساب ال average 400 plus 300 plus |
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| 70 |
| 00:06:35,300 --> 00:06:41,580 |
| 12 plus 11 plus 10 plus 9 plus 7 plus 6 divided by |
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| 71 |
| 00:06:41,580 --> 00:06:47,520 |
| 8 احسبوا ال average. ال average will be in some |
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| 72 |
| 00:06:47,520 --> 00:06:55,880 |
| area in here. ال average هيكون في .. احسبوا ال |
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| 73 |
| 00:06:55,880 --> 00:06:56,360 |
| average now |
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| 74 |
| 00:07:01,030 --> 00:07:12,910 |
| كم طلع؟ 94.3 you see so it is 94.3 so now the |
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| 75 |
| 00:07:12,910 --> 00:07:16,750 |
| average now the average what's what's happened |
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| 76 |
| 00:07:16,750 --> 00:07:23,570 |
| with the data؟ ايش اللي صار في البيانات؟ because yes |
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| 77 |
| 00:07:23,570 --> 00:07:27,570 |
| فينا بيانات شاذة فالبيانات الشاذة عملت pulling up |
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| 78 |
| 00:07:28,540 --> 00:07:31,380 |
| pulling the data to the top or pulling the average |
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| 79 |
| 00:07:31,380 --> 00:07:35,580 |
| to the top يعني هلأ صار ال average is pulling to |
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| 80 |
| 00:07:35,580 --> 00:07:39,700 |
| the top okay |
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| 81 |
| 00:07:39,700 --> 00:07:46,160 |
| صار في تحيز or there is a bias. صار عندي ايه؟ bias |
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| 82 |
| 00:07:46,160 --> 00:07:51,140 |
| in this case the positive look at here the |
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| 83 |
| 00:07:51,140 --> 00:07:57,740 |
| positive is greater than the negative. القيم المتطرفة |
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| 84 |
| 00:07:57,740 --> 00:08:01,000 |
| الموجبة أكثر من القيم المتطرفة السالبة we |
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| 85 |
| 00:08:01,000 --> 00:08:04,880 |
| don't have negative outliers here. فاللي صار أنه |
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| 86 |
| 00:08:04,880 --> 00:08:08,640 |
| صار عندي التواء لليمين هيكون الشكل تبعوا للشكل |
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| 87 |
| 00:08:08,640 --> 00:08:16,140 |
| هيكون الشكل هيك هيكون في to the right to the right |
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| 88 |
| 00:08:16,140 --> 00:08:18,800 |
| why to the right because we have extreme values |
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| 89 |
| 00:08:18,800 --> 00:08:24,020 |
| فال average ال average is move to the right. ال |
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| 90 |
| 00:08:24,020 --> 00:08:27,130 |
| average هيروح على ال right لأن هنا فينا الاربعماية |
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| 91 |
| 00:08:27,130 --> 00:08:34,310 |
| والتلاتماية هم outliers so the outliers try to move |
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| 92 |
| 00:08:34,310 --> 00:08:38,550 |
| the average to the right side هياخد ال average لل |
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| 93 |
| 00:08:38,550 --> 00:08:44,010 |
| right side okay this |
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| 94 |
| 00:08:44,010 --> 00:08:51,250 |
| is why .. this is why we have positive skew and |
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| 95 |
| 00:08:51,250 --> 00:08:53,980 |
| the opposite if we take another example here. إذا |
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| 96 |
| 00:08:53,980 --> 00:09:00,120 |
| أخذنا نفس المثال و |
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| 97 |
| 00:09:00,120 --> 00:09:04,320 |
| خلينا القيام like this شوفوا القيام like this |
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| 98 |
| 00:09:04,320 --> 00:09:10,600 |
| they say twelve percent eleven ten nine seven six |
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| 99 |
| 00:09:10,600 --> 00:09:21,940 |
| and we have here like point five and minus okay |
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| 100 |
| 00:09:23,590 --> 00:09:31,290 |
| minus fifteen and minus thirty. أخذنا القيام هدول |
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| 101 |
| 00:09:31,290 --> 00:09:38,370 |
| فشوفوا عكس الحالة هذه بيكون ال data like this. ال |
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| 102 |
| 00:09:38,370 --> 00:09:44,810 |
| average like this then it's like this. طب ال |
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| 103 |
| 00:09:44,810 --> 00:09:49,390 |
| outliers وين تحت ولا فوق؟ تحت. so it's negative لما |
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| 104 |
| 00:09:49,390 --> 00:09:54,020 |
| بيكون the outliers it means if the average is here |
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| 105 |
| 00:09:54,020 --> 00:10:01,400 |
| so the outliers try to push it down. bowling يعني |
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| 106 |
| 00:10:01,400 --> 00:10:06,160 |
| يسحب bowling up pushing down فهيصير ال average |
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| 107 |
| 00:10:06,160 --> 00:10:08,840 |
| somewhere هنا احسبوا الكلام ده شوفوا واحد و اتنين |
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| 108 |
| 00:10:08,840 --> 00:10:17,780 |
| طيب يعني هتكون بمكان مهم مظبوط. the average should |
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| 109 |
| 00:10:17,780 --> 00:10:21,780 |
| be somewhere in here but the average is moved down |
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| 110 |
| 00:10:21,780 --> 00:10:27,500 |
| because the data is skewed to the left. حيكون شكل |
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| 111 |
| 00:10:27,500 --> 00:10:39,100 |
| ال .. شكل ال .. شكله هيك تقريباً to |
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| 112 |
| 00:10:39,100 --> 00:10:42,360 |
| the left. فبكون هدول ال outliers minus fifteen |
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| 113 |
| 00:10:42,360 --> 00:10:49,810 |
| minus thirty is located somewhere in here. Okay, so |
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| 114 |
| 00:10:49,810 --> 00:10:54,890 |
| because there is no symmetry with the data, |
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| 115 |
| 00:10:55,090 --> 00:10:58,430 |
| generally speaking, most people in statistics they |
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| 116 |
| 00:10:58,430 --> 00:11:02,690 |
| ignore these things, they ignore this, الناس كلهم |
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| 117 |
| 00:11:02,690 --> 00:11:07,070 |
| بيتجاهلوهم، يعني بيتجاهلوهم، but in finance we |
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| 118 |
| 00:11:07,070 --> 00:11:11,350 |
| should consider them. In the first case look at |
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| 119 |
| 00:11:11,350 --> 00:11:18,000 |
| here, in this one when the .. when the data .. when |
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| 120 |
| 00:11:18,000 --> 00:11:23,180 |
| the data is positive when we have outliers greater |
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| 121 |
| 00:11:23,180 --> 00:11:27,900 |
| than the average it means we have a positive skew |
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| 122 |
| 00:11:27,900 --> 00:11:32,100 |
| but here we have negative skew and because we have |
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| 123 |
| 00:11:32,100 --> 00:11:37,680 |
| positive skew it means لأنه إذا كان عندنا skew ما |
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| 124 |
| 00:11:37,680 --> 00:11:41,200 |
| أنت عارف .. هيعرفنا ال skew يعني هالتواء صح؟ إذا |
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| 125 |
| 00:11:41,200 --> 00:11:47,120 |
| كانت موجب positive بكون عندي over estimate و إذا |
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| 126 |
| 00:11:47,120 --> 00:11:54,220 |
| كانت negative under estimate طيب this is the |
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| 127 |
| 00:11:54,220 --> 00:11:58,940 |
| importance of skew هذا أهمية الـ skew نيجي نحكي عن |
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| 128 |
| 00:11:58,940 --> 00:12:06,280 |
| الـ cortices على الـ cortices خلينا نذكركم بس |
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| 129 |
| 00:12:06,280 --> 00:12:11,220 |
| بالقانون تبع الـ skew how to calculate the skew بس |
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| 130 |
| 00:12:11,220 --> 00:12:20,580 |
| يعني القانون بتعرفوا أنه Q is equal R minus R bar |
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| 131 |
| 00:12:20,580 --> 00:12:29,160 |
| okay cubed divided by sigma cubed هذا هو الـ raise |
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| 132 |
| 00:12:29,160 --> 00:12:34,460 |
| to the power three الكورتوسيز ايش بيقيس الكورتوسيز |
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| 133 |
| 00:12:34,460 --> 00:12:38,500 |
| الكورتوسيز is measure to what extent our data is |
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| 134 |
| 00:12:38,500 --> 00:12:43,030 |
| flat يعني الـ I درجة بيكون الـ بيانات تبعتنا flat |
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| 135 |
| 00:12:43,030 --> 00:12:55,930 |
| ناخد نتالي لو |
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| 136 |
| 00:12:55,930 --> 00:13:03,270 |
| شوفنا احنا هذا |
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| 137 |
| 00:13:03,270 --> 00:13:06,430 |
| ايش رأيكوا؟ هذا normal distribution ولا ايش؟ this |
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| 138 |
| 00:13:06,430 --> 00:13:07,370 |
| is normal distribution |
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| 139 |
| 00:13:11,120 --> 00:13:18,920 |
| هذا normal distribution توزيع طبيعي هذا |
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| 140 |
| 00:13:18,920 --> 00:13:24,980 |
| فيه توزيع طبيعي why because the right side is |
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| 141 |
| 00:13:24,980 --> 00:13:27,840 |
| approximately equal to the left side يعني الجانب |
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| 142 |
| 00:13:27,840 --> 00:13:34,160 |
| اليمين تقريبا يشبه الجانب الشمال okay طيب so the |
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| 143 |
| 00:13:34,160 --> 00:13:41,080 |
| thing is now the thing is the thing is now إذا ننظر |
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| 144 |
| 00:13:41,080 --> 00:13:44,980 |
| إلى الجانب اليسار هو تقريبًا يقل الجانب اليسار، |
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| 145 |
| 00:13:44,980 --> 00:13:50,140 |
| إذا كان لدينا كورتوسيه، يعني أن البيانات أكتر |
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| 146 |
| 00:13:50,140 --> 00:13:54,500 |
| مطمئنة من المشاركة الطبيعية، يبدو هكذا |
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| 147 |
| 00:14:14,330 --> 00:14:17,730 |
| So the data .. this is .. this one this means we |
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| 148 |
| 00:14:17,730 --> 00:14:20,490 |
| have a very narrow mean .. mean and the data is |
|
|
| 149 |
| 00:14:20,490 --> 00:14:26,830 |
| flat is scattered in the left and scattered in the |
|
|
| 150 |
| 00:14:26,830 --> 00:14:29,390 |
| .. in the right or in the right and in the left if |
|
|
| 151 |
| 00:14:29,390 --> 00:14:35,750 |
| you see here there is a space between this line |
|
|
| 152 |
| 00:14:35,750 --> 00:14:39,030 |
| with this line but with this one there is .. there |
|
|
| 153 |
| 00:14:39,030 --> 00:14:43,430 |
| is a limit يعني إذا إحنا بناحي البيانات موجودة هون |
|
|
| 154 |
| 00:14:46,170 --> 00:14:53,130 |
| هنجيب بالـ Cortices أن |
|
|
| 155 |
| 00:14:53,130 --> 00:14:57,050 |
| البيانات تأخذ بعض المكان هنا و بعض المكان هنا |
|
|
| 156 |
| 00:14:57,050 --> 00:15:04,630 |
| هنلاقي بيانات فوق و لاتحت و في الوسط كيف نحسب الـ |
|
|
| 157 |
| 00:15:04,630 --> 00:15:08,530 |
| Cortices كيف احنا بنحسب الـ Cortices The Cortices |
|
|
| 158 |
| 00:15:08,530 --> 00:15:20,920 |
| is equal to R minus R bar raise to the power four raise |
|
|
| 159 |
| 00:15:20,920 --> 00:15:21,760 |
| to the power four raise to the power four raise to the power |
|
|
| 160 |
| 00:15:21,760 --> 00:15:22,760 |
| four raise to the power four raise to the power four |
|
|
| 161 |
| 00:15:22,760 --> 00:15:29,180 |
| four raise to the power four raise to the power four raise to |
|
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| 162 |
| 00:15:29,180 --> 00:15:32,180 |
| the power four raise to the power four raise to the power four raise |
|
|
| 163 |
| 00:15:32,180 --> 00:15:33,860 |
| to the power four raise to the power four raise to the power |
|
|
| 164 |
| 00:15:33,860 --> 00:15:41,320 |
| four raise to the power four raise |
|
|
| 165 |
| 00:15:41,320 --> 00:15:46,930 |
| لحظة يا تيه إذا قمنا بالتخيل هذا الجانب بشكل |
|
|
| 166 |
| 00:15:46,930 --> 00:15:51,230 |
| مختلف و إذا كانت البيانات تتبع اتجارة عادية فهذا |
|
|
| 167 |
| 00:15:51,230 --> 00:15:55,790 |
| يجب أن يكون ثلاثة إذا كانت النتيجة ثلاثة ثلاثة أقل |
|
|
| 168 |
| 00:15:55,790 --> 00:16:00,010 |
| ثلاثة ثم ننتهي بزيرولذلك إذا كانت النتيجة صحيحة |
|
|
| 169 |
| 00:16:00,010 --> 00:16:06,870 |
| إذا كانت النتيجة صحيحة إذا كانت النتيجة صحيحة إذا |
|
|
| 170 |
| 00:16:06,870 --> 00:16:07,170 |
| كانت النتيجة صحيحة إذا كانت النتيجة صحيحة إذا كانت |
|
|
| 171 |
| 00:16:07,170 --> 00:16:08,990 |
| النتيجة صحيحة إذا كانت النتيجة صحيحة إذا كانت |
|
|
| 172 |
| 00:16:08,990 --> 00:16:09,610 |
| النتيجة صحيحة إذا كانت النتيجة صحيحة إذا كانت |
|
|
| 173 |
| 00:16:09,610 --> 00:16:11,190 |
| النتيجة صحيحة إذا كانت النتيجة صحيحة إذا كانت |
|
|
| 174 |
| 00:16:11,190 --> 00:16:13,210 |
| النتيجة صحيحة إذا كانت النتيجة صحيحة إذا كانت |
|
|
| 175 |
| 00:16:13,210 --> 00:16:18,530 |
| النتيجة صحيحة إذا كانت النتيجة صحيحة إذا كانت |
|
|
| 176 |
| 00:16:18,530 --> 00:16:23,510 |
| النتيجة صحيحة إذا |
|
|
| 177 |
| 00:16:23,510 --> 00:16:27,330 |
| كانت |
|
|
| 178 |
| 00:16:27,330 --> 00:16:30,840 |
| النتيجة صحيحة هي تطلع على المعادلة المعادلة فيها |
|
|
| 179 |
| 00:16:30,840 --> 00:16:34,500 |
| إلها شقين هذه ناقص تلاتة إذا طلع هذا الجواب تلاتة |
|
|
| 180 |
| 00:16:34,500 --> 00:16:38,280 |
| تلاتة ناقص تلاتة so it's equal zero إذا كان zero |
|
|
| 181 |
| 00:16:38,280 --> 00:16:43,440 |
| بيكون هذا شوف هذه بيكون zero لأن هاي touch the |
|
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| 182 |
| 00:16:43,440 --> 00:16:47,120 |
| line and this is touch the line but if it is |
|
|
| 183 |
| 00:16:47,120 --> 00:16:51,400 |
| greater than three شوف إذا كان هذا جوابي greater |
|
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| 184 |
| 00:16:51,400 --> 00:16:55,440 |
| than three then it's greater than zero so we have |
|
|
| 185 |
| 00:16:55,440 --> 00:16:59,070 |
| cortices Okay, so this is the problem. |
|
|
| 186 |
| 00:17:02,490 --> 00:17:10,370 |
| Now, again the Skew and Cortices help the |
|
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| 187 |
| 00:17:10,370 --> 00:17:12,690 |
| researcher and help financial people or investors |
|
|
| 188 |
| 00:17:12,690 --> 00:17:17,470 |
| to mention the data are normally distributed or |
|
|
| 189 |
| 00:17:17,470 --> 00:17:22,230 |
| not. إذا كانت البيانات تبعتهم موزعة توزيع طبيعي |
|
|
| 190 |
| 00:17:22,230 --> 00:17:23,090 |
| ولا لأ؟ |
|
|
| 191 |
| 00:17:27,160 --> 00:17:30,700 |
| الـ cortices بيبنوا like this طلع البيانات scattered |
|
|
| 192 |
| 00:17:30,700 --> 00:17:34,140 |
| بيكون في outliers in the top and outliers in the |
|
|
| 193 |
| 00:17:34,140 --> 00:17:39,280 |
| bottom and we have something in the middle فبتكون |
|
|
| 194 |
| 00:17:39,280 --> 00:17:43,700 |
| في زي πاي باي observation أو binomial بتكونش |
|
|
| 195 |
| 00:17:43,700 --> 00:17:46,600 |
| البيانات is focused on the average يعني زي ما انت |
|
|
| 196 |
| 00:17:46,600 --> 00:17:51,740 |
| شايفها هان in this one red one the most of our |
|
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| 197 |
| 00:17:51,740 --> 00:17:57,200 |
| data look at here most of our data موجودة في مكان |
|
|
| 198 |
| 00:17:57,200 --> 00:18:03,100 |
| ما هنا وهو حوالي 68% من البيانات الموجودة هنا ولكن |
|
|
| 199 |
| 00:18:03,100 --> 00:18:09,320 |
| إذا كنت تنظر إلى الـ blue one حوالي 30% من |
|
|
| 200 |
| 00:18:09,320 --> 00:18:12,800 |
| بياناتنا موجودة في الأعلى أو موجودة في الـ .. |
|
|
| 201 |
| 00:18:12,800 --> 00:18:18,700 |
| والباقية من بياناتنا موجودة في الخارج ممكننا أن |
|
|
| 202 |
| 00:18:18,700 --> 00:18:23,600 |
| نلاحظ مثل هذا إذا أردنا لدينا بيانات مثل هذه و |
|
|
| 203 |
| 00:18:23,600 --> 00:18:28,520 |
| لدينا بيانات مثل هذه و لدينا مصادر مثل هذه حسنا اذا |
|
|
| 204 |
| 00:18:28,520 --> 00:18:36,000 |
| ماهي عاملة؟ عاملة مخططة لهم لأن حسنا ربما العاملة |
|
|
| 205 |
| 00:18:36,000 --> 00:18:43,300 |
| في هنا لذا لدينا شيء هنا و لدينا شيء هنا لذلك إذا |
|
|
| 206 |
| 00:18:43,300 --> 00:18:49,600 |
| قمنا بترتيب هذا في مقالة ننتهي بمقالة بلو Okay, |
|
|
| 207 |
| 00:18:50,140 --> 00:18:53,060 |
| this is .. it's like this has two wings, two big |
|
|
| 208 |
| 00:18:53,060 --> 00:18:57,460 |
| wings يعني هناخد for instance look at here two big |
|
|
| 209 |
| 00:18:57,460 --> 00:19:02,220 |
| wings الناس |
|
|
| 210 |
| 00:19:02,220 --> 00:19:05,720 |
| .. بعض الناس مش كتير في الـ statistics so بتاع |
|
|
| 211 |
| 00:19:05,720 --> 00:19:10,020 |
| they're ignoring the outlines فاحنا بالنسبة لل |
|
|
| 212 |
| 00:19:10,020 --> 00:19:14,540 |
| finance outlines are important why outlines are |
|
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| 213 |
| 00:19:14,540 --> 00:19:16,820 |
| important because indicate something in finance |
|
|
| 214 |
| 00:19:17,510 --> 00:19:19,830 |
| الناس تتعامل بـ Overestimation عندما تكون لديها |
|
|
| 215 |
| 00:19:19,830 --> 00:19:23,310 |
| إتجار مفيد والناس تتعامل بـ Underestimate Risk |
|
|
| 216 |
| 00:19:23,310 --> 00:19:30,470 |
| عندما تكون لديها إتجار مفيد حسنا |
|
|
| 217 |
| 00:19:30,470 --> 00:19:34,270 |
| الآن |
|
|
| 218 |
| 00:19:34,270 --> 00:19:42,370 |
| دعونا نتحدث عن إتجار مفقود وهو مهم أيضا في |
|
|
| 219 |
| 00:19:42,370 --> 00:19:50,930 |
| الوزيارة لأن of this look at here as I said we have |
|
|
| 220 |
| 00:19:50,930 --> 00:19:55,530 |
| data like this this is normal and then we have |
|
|
| 221 |
| 00:19:55,530 --> 00:20:01,050 |
| outliers like this إذا احنا أخدنا observations R |
|
|
| 222 |
| 00:20:01,050 --> 00:20:05,530 |
| زي هيك مع الكلام هدول الـ average بيكون somewhere |
|
|
| 223 |
| 00:20:05,530 --> 00:20:09,050 |
| هنا because of this outliers maybe the average |
|
|
| 224 |
| 00:20:09,050 --> 00:20:14,230 |
| will go down هيكون جريب لهدول Okay so what the |
|
|
| 225 |
| 00:20:14,230 --> 00:20:18,390 |
| problem then is this positive skew or negative |
|
|
| 226 |
| 00:20:18,390 --> 00:20:23,070 |
| okay this positive or negative why it is negative |
|
|
| 227 |
| 00:20:23,070 --> 00:20:27,070 |
| because لأنه هيسحبوه من التحت okay so we have |
|
|
| 228 |
| 00:20:27,070 --> 00:20:33,150 |
| negative and if we draw the negative so |
|
|
| 229 |
| 00:20:33,150 --> 00:20:37,230 |
| this is this is a negative skew to the right to |
|
|
| 230 |
| 00:20:37,230 --> 00:20:44,670 |
| the left وإذا قمت بإرسالهم هنا، فسنلاحظ أن البيانات |
|
|
| 231 |
| 00:20:44,670 --> 00:20:53,410 |
| هنا ونلاحظ ما يوجد هنا، الـ outliers، حسنًا؟ |
|
|
| 232 |
| 00:20:53,410 --> 00:20:59,790 |
| الآن هذه الـ outliers، لأنها في الجانات المفارقة، |
|
|
| 233 |
| 00:20:59,790 --> 00:21:06,850 |
| نسميها قيمة في خطر be careful we write it values at |
|
|
| 234 |
| 00:21:06,850 --> 00:21:10,650 |
| risk we are not writing like this this is var |
|
|
| 235 |
| 00:21:10,650 --> 00:21:13,950 |
| which is variance and this is values at risk |
|
|
| 236 |
| 00:21:13,950 --> 00:21:19,930 |
| values at risk what it means values at risk values |
|
|
| 237 |
| 00:21:19,930 --> 00:21:26,370 |
| at risk it means قيم معرضة للخطر بالظبط قيم معرضة |
|
|
| 238 |
| 00:21:26,370 --> 00:21:31,990 |
| للخطر يعني لو جينا احنا رصدنا درجات الطلاب لا يا |
|
|
| 239 |
| 00:21:31,990 --> 00:21:35,010 |
| بابا مش الـ variance احنا حكينا look be careful |
|
|
| 240 |
| 00:21:35,010 --> 00:21:38,150 |
| this is not not variance هذا مش whole variance |
|
|
| 241 |
| 00:21:38,150 --> 00:21:44,970 |
| this is values at risk زي ما حكت انه قيم معرضة |
|
|
| 242 |
| 00:21:44,970 --> 00:21:53,570 |
| للخطر values at risk values at risk قيم معرضة |
|
|
| 243 |
| 00:21:53,570 --> 00:21:58,250 |
| للخطر طيب هلا مثلا أجينا احنا أخدنا درجات الطلاب |
|
|
| 244 |
| 00:21:59,240 --> 00:22:04,140 |
| لجينا الطلاب في تسعين تمانين خمسين سبعين ستين ف الـ |
|
|
| 245 |
| 00:22:04,140 --> 00:22:07,980 |
| values at risk هي الـ values الـ extreme negative |
|
|
| 246 |
| 00:22:07,980 --> 00:22:14,900 |
| يعني أخدنا درجة الطلاب لجينا فينا تسعين خمس و |
|
|
| 247 |
| 00:22:14,900 --> 00:22:21,460 |
| تسعين تمانين خمس و تمانين سبعين تسعة و ستين سبعين |
|
|
| 248 |
| 00:22:21,460 --> 00:22:25,500 |
| خمس و تمانين okay و بعدين لجينا عشرين عشرة خمس و |
|
|
| 249 |
| 00:22:25,500 --> 00:22:30,760 |
| أستعشسجلنا درجة الطلاب and we found like this |
|
|
| 250 |
| 00:22:30,760 --> 00:22:34,000 |
| لقينا درجات الطلاب where is the values at risk |
|
|
| 251 |
| 00:22:34,000 --> 00:22:39,940 |
| هدول هما الـ 20, 10, 15 هدول values at risk هدول |
|
|
| 252 |
| 00:22:39,940 --> 00:22:44,260 |
| values at risk will move the will move the average |
|
|
| 253 |
| 00:22:44,260 --> 00:22:49,160 |
| down وبالتالي الـ average هيصير misleading the |
|
|
| 254 |
| 00:22:49,160 --> 00:22:52,460 |
| problem is now from the investment point of view |
|
|
| 255 |
| 00:22:52,460 --> 00:22:56,650 |
| من وجهة نظر المستثمرين to what extent these people |
|
|
| 256 |
| 00:22:56,650 --> 00:23:02,610 |
| are at risk؟ لأي درجة أن هدول الـ people في خطر؟ |
|
|
| 257 |
| 00:23:02,610 --> 00:23:07,010 |
| لأي درجة هدول الطلاب عندهم .. okay let's things in |
|
|
| 258 |
| 00:23:07,010 --> 00:23:13,870 |
| different ways values at risk measures worst loss |
|
|
| 259 |
| 00:23:13,870 --> 00:23:21,570 |
| أسوأ خسارة يعني بنيجي و بنقول احنا ما هي أسوأ |
|
|
| 260 |
| 00:23:21,570 --> 00:23:28,470 |
| خسارة ممكن نحصل عليها بالفصل أسوأ نتيجة يعني |
|
|
| 261 |
| 00:23:28,470 --> 00:23:35,750 |
| لأ يعني كم طالب يرسب بنيجي نقول أسوأ نتيجة ممكن |
|
|
| 262 |
| 00:23:35,750 --> 00:23:42,350 |
| نحصل عليها يعني جداش أن عدد طلاب مثلا ستين بنقول |
|
|
| 263 |
| 00:23:42,350 --> 00:23:46,650 |
| احنا حسب الحسابات تبعنا أسوأ نتيجة ممكن نحصل عليها |
|
|
| 264 |
| 00:23:46,650 --> 00:23:53,050 |
| أنه يرسب ثلاثة في المئة أو بطريقة ثانية أسوأ نتيجة |
|
|
| 265 |
| 00:23:54,240 --> 00:24:00,240 |
| نحصل عليها أنه ما تزدش الخسارة بتاعتنا عن 3% this |
|
|
| 266 |
| 00:24:00,240 --> 00:24:05,220 |
| is fine or in other words أو بطريقة أخرى نقول أسوأ |
|
|
| 267 |
| 00:24:05,220 --> 00:24:11,160 |
| نتيجة أنه احنا نحصل عليها أنه النجاح يكون أقل من |
|
|
| 268 |
| 00:24:11,160 --> 00:24:17,640 |
| 97% النجاح يكون أقل من 97% نفس الـ 3% نفس الفكرة |
|
|
| 269 |
| 00:24:17,640 --> 00:24:24,360 |
| يعني احنا قلنا أو النجاح ما يزدش عن 97% فبكون لما |
|
|
| 270 |
| 00:24:24,360 --> 00:24:28,960 |
| أقول النجاح ما يزدش عن 97% it means أن أسوأ خسارة |
|
|
| 271 |
| 00:24:28,960 --> 00:24:33,400 |
| ممكن نحصل عليها 3% from investment point of view |
|
|
| 272 |
| 00:24:33,400 --> 00:24:38,580 |
| ممكن من وجهة نظر الاستثمار okay what is the worst |
|
|
| 273 |
| 00:24:38,580 --> 00:24:45,740 |
| loss ما هي أسوأ خسارة ممكن نحصل عليها so we need |
|
|
| 274 |
| 00:24:45,740 --> 00:24:49,060 |
| to calculate values at risk عشان نحصل على أسوأ |
|
|
| 275 |
| 00:24:49,060 --> 00:24:52,700 |
| خسارة there are three methods to calculate values |
|
|
| 276 |
| 00:24:52,700 --> 00:24:58,130 |
| at risk in your handbook is only one method في |
|
|
| 277 |
| 00:24:58,130 --> 00:25:03,870 |
| الكتاب تبعك موجود بس methods واحدة okay and this |
|
|
| 278 |
| 00:25:03,870 --> 00:25:06,490 |
| method is called Monte Carlo method مش موجودة |
|
|
| 279 |
| 00:25:06,490 --> 00:25:09,630 |
| بالكتاب أن اسمها Monte Carlo لكن أنا بقولكوا إياها |
|
|
| 280 |
| 00:25:09,630 --> 00:25:13,530 |
| it is Monte Carlo فممكن بالـ corrections و لا بالصح |
|
|
| 281 |
| 00:25:13,530 --> 00:25:15,490 |
| و الغلط تقولوا والله يا عزيزي مش موجودة بالكتاب no |
|
|
| 282 |
| 00:25:15,490 --> 00:25:19,370 |
| I'm telling you now this method is Monte Carlo |
|
|
| 283 |
| 00:25:23,640 --> 00:25:29,100 |
| اسم الطريقة اسمها Monte Carlo okay في Monte Carlo |
|
|
| 284 |
| 00:25:29,100 --> 00:25:32,580 |
| في إذاعة اسمها Monte Carlo في دراسة اسمها Monte |
|
|
| 285 |
| 00:25:32,580 --> 00:25:39,820 |
| Carlo so the normal so the values at risk is equal |
|
|
| 286 |
| 00:25:39,820 --> 00:25:52,890 |
| to mu which is the average minus z times sigma و |
|
|
| 287 |
| 00:25:52,890 --> 00:25:58,530 |
| سنشرح ماذا يعني Z يعني |
|
|
| 288 |
| 00:25:58,530 --> 00:26:02,950 |
| ميو |
|
|
| 289 |
| 00:26:02,950 --> 00:26:11,090 |
| أو عامل مانوس سيجما زد مانوس زد يعني عامل عامل |
|
|
| 290 |
| 00:26:11,090 --> 00:26:15,150 |
| عامل عامل عامل عامل عامل عامل عامل عامل عامل عامل |
|
|
| 291 |
| 00:26:15,150 --> 00:26:16,530 |
| عامل عامل عامل عامل عامل عامل عامل عامل عامل عامل |
|
|
| 292 |
| 00:26:16,530 --> 00:26:17,790 |
| عامل عامل عامل عامل عامل عامل عامل عامل عامل عامل |
|
|
| 293 |
| 00:26:17,790 --> 00:26:17,810 |
| عامل عامل عامل عامل عامل عامل عامل عامل عامل عامل |
|
|
| 294 |
| 00:26:21,460 --> 00:26:24,720 |
| the critical value اللي هو القيمة الحرجة بتسميها |
|
|
| 295 |
| 00:26:24,720 --> 00:26:30,440 |
| okay what it means القيمة الحرجة فاكرين القيمة |
|
|
| 296 |
| 00:26:30,440 --> 00:26:38,560 |
| الحرجة at a particular confidence |
|
|
| 297 |
| 00:26:38,560 --> 00:26:43,960 |
| level عند |
|
|
| 298 |
| 00:26:43,960 --> 00:26:48,600 |
| مستوى معنوية أو مستوى ثقة معين خلّيني أجي نقول |
|
|
| 299 |
| 00:26:49,520 --> 00:26:54,560 |
| تطلعوا على التلات مقالات الموجودين هنا لنفترض أن |
|
|
| 300 |
| 00:26:54,560 --> 00:26:59,960 |
| هدول بمثله minus 30% و minus 20% و minus .. خلّيني |
|
|
| 301 |
| 00:26:59,960 --> 00:27:04,140 |
| minus 30% و minus 20% هدول النقطتين الموجودين هنا |
|
|
| 302 |
| 00:27:04,140 --> 00:27:10,760 |
| اللي هم الـ extreme negative values okay هلأ بنحكي |
|
|
| 303 |
| 00:27:10,760 --> 00:27:15,900 |
| what is .. what is the worst loss |
|
|
| 304 |
| 00:27:19,890 --> 00:27:28,490 |
| 95% ما هي أسوأ خسارة ممكن نحصل عليها عند 95% then |
|
|
| 305 |
| 00:27:28,490 --> 00:27:36,010 |
| we apply this هنطبق هذه الـ average معروفة والـ sigma |
|
|
| 306 |
| 00:27:36,010 --> 00:27:39,910 |
| معروفة الـ standard deviation معروف بيضل الـ z ايش |
|
|
| 307 |
| 00:27:39,910 --> 00:27:46,730 |
| الـ z هذه الـ z عند 95% اللي هي المنطقة هذه عند 95% |
|
|
| 308 |
| 00:27:46,730 --> 00:27:53,260 |
| بتساوي 1.65 أخدتها بالـ .. بتنجح بين الجدول اللي هو |
|
|
| 309 |
| 00:27:53,260 --> 00:27:55,980 |
| بالـ .. اللي أخدتها من الإحسان اه one point six |
|
|
| 310 |
| 00:27:55,980 --> 00:28:00,980 |
| five فبصير احنا الـ MUE minus one point six five |
|
|
| 311 |
| 00:28:00,980 --> 00:28:07,480 |
| times sigma نفترض الجواب طلع لنا minus twenty |
|
|
| 312 |
| 00:28:07,480 --> 00:28:11,700 |
| percent ايش معناه what it means ايش معناه ما عرفت |
|
|
| 313 |
| 00:28:11,700 --> 00:28:16,040 |
| عشان عشانين تمية أسوأ خسارة ممكن احنا نحصل عليها |
|
|
| 314 |
| 00:28:16,040 --> 00:28:22,630 |
| من الاستثمار في A ما بتزيد عن minus 20% in other |
|
|
| 315 |
| 00:28:22,630 --> 00:28:26,470 |
| words the worst loss that we can take when we |
|
|
| 316 |
| 00:28:26,470 --> 00:28:32,990 |
| invest in A is not greater than 20% or minus 20% |
|
|
| 317 |
| 00:28:32,990 --> 00:28:43,430 |
| أو بطريقة أخرى أنه we are hundred percent sure or |
|
|
| 318 |
| 00:28:43,430 --> 00:28:50,040 |
| five percent يعني احنا حكينا عن 95% هيك 95% وها 5% |
|
|
| 319 |
| 00:28:50,040 --> 00:28:57,100 |
| بنسبة 5% احنا بنكون متأكدين أن البيانات الخسائر |
|
|
| 320 |
| 00:28:57,100 --> 00:29:06,720 |
| تبعتنا مش هتزيد عن .. مش هتزيد عن 20% okay هذه إذا |
|
|
| 321 |
| 00:29:06,720 --> 00:29:13,040 |
| كانت negative values طيب |
|
|
| 322 |
| 00:29:15,120 --> 00:29:18,240 |
| إذا الـ values الـ risk بتقيس لإيه؟ أهم إيش تعرفوا |
|
|
| 323 |
| 00:29:18,240 --> 00:29:23,060 |
| هذا الـ loss loss أسوأ خسارة ممكن احنا نحصل عليها |
|
|
| 324 |
| 00:29:23,060 --> 00:29:26,780 |
| and we compare زي ما شوفنا الـ loss loss we compare |
|
|
| 325 |
| 00:29:26,780 --> 00:29:32,300 |
| the average values with the negative values |
|
|
| 326 |
| 00:29:43,920 --> 00:29:46,320 |
| So the values at risk just to remind you with the |
|
|
| 327 |
| 00:29:46,320 --> 00:29:50,020 |
| values at risk a measure of loss most frequently |
|
|
| 328 |
| 00:29:50,020 --> 00:29:51,960 |
| associated with the extreme negative returns |
|
|
| 329 |
| 00:29:51,960 --> 00:29:55,640 |
| العلاج بالـ extreme negative returns be careful is |
|
|
| 330 |
| 00:29:55,640 --> 00:30:00,300 |
| not related to the positive return is related to |
|
|
| 331 |
| 00:30:00,300 --> 00:30:03,460 |
| the extreme negative return values at risk is the |
|
|
| 332 |
| 00:30:03,460 --> 00:30:07,800 |
| quantile of a distribution below which lies Q |
|
|
| 333 |
| 00:30:07,800 --> 00:30:10,620 |
| percent of the possible values of that |
|
|
| 334 |
| 00:30:10,620 --> 00:30:12,820 |
| distribution يعني ما هو احتمال أنه نحصل على |
|
|
| 335 |
| 00:30:13,590 --> 00:30:16,510 |
| outliers في المنطقة هذه مالكو مش كتير في هذا |
|
|
| 336 |
| 00:30:16,510 --> 00:30:18,650 |
| الكلام لإنهم عرفوا ليه هذا، هذا شوية صعب عادي |
|
|
| 337 |
| 00:30:18,650 --> 00:30:26,890 |
| okay the five percent values at risk في ناس |
|
|
| 338 |
| 00:30:26,890 --> 00:30:29,830 |
| بيعتبروا الـ values at risk هي الـ probability هي |
|
|
| 339 |
| 00:30:29,830 --> 00:30:35,250 |
| ايش احتمالية is the probability to make loss هي |
|
|
| 340 |
| 00:30:35,250 --> 00:30:40,950 |
| احتمال جداش احنا الاحتمال نخسر دائما الناس بتنظر للـ |
|
|
| 341 |
| 00:30:40,950 --> 00:30:45,010 |
| .. للربح لكن احنا في الـ finance و الـ investment |
|
|
| 342 |
| 00:30:45,010 --> 00:30:48,930 |
| برضه بنشوف ما هو احتمال أن احنا نخسر بتعطينا الـ |
|
|
| 343 |
| 00:30:48,930 --> 00:30:53,230 |
| investment option commonly estimated in practice |
|
|
| 344 |
| 00:30:53,230 --> 00:30:57,650 |
| هذه كتير مستخدمة في الحياة العملية اللي هو الـ |
|
|
| 345 |
| 00:30:57,650 --> 00:31:01,210 |
| values at risk صحيح أن أنت .. you first time to .. |
|
|
| 346 |
| 00:31:01,210 --> 00:31:04,730 |
| to hear about this to know about this but this is |
|
|
| 347 |
| 00:31:04,730 --> 00:31:08,290 |
| commonly used in practice كتير ناس بيستخدموها في |
|
|
| 348 |
| 00:31:08,290 --> 00:31:11,550 |
| الحياة العملية ممكن ناس يكونوا مش خرجين جامعات |
|
|
| 349 |
| 00:31:11,550 --> 00:31:15,410 |
| يعني unfortunately you are in the university and |
|
|
| 350 |
| 00:31:15,410 --> 00:31:17,570 |
| you are the first time to know about this but some |
|
|
| 351 |
| 00:31:17,570 --> 00:31:19,990 |
| people is not in the university and they know |
|
|
| 352 |
| 00:31:19,990 --> 00:31:23,670 |
| about this في ناس مش أصلا ما راحوش على الجامعة و |
|
|
| 353 |
| 00:31:23,670 --> 00:31:25,890 |
| they know their values at risk and they asking |
|
|
| 354 |
| 00:31:25,890 --> 00:31:29,690 |
| themselves ايش أسوأ ايش ممكن نسويه مرات يعني even |
|
|
| 355 |
| 00:31:29,690 --> 00:31:33,520 |
| me sometimes what is the worst thing if you know |
|
|
| 356 |
| 00:31:33,520 --> 00:31:36,500 |
| the worst things is fine يعني ايش أسوأ شيء ممكن |
|
|
| 357 |
| 00:31:36,500 --> 00:31:39,700 |
| يصير and build your decision based on the worst |
|
|
| 358 |
| 00:31:39,700 --> 00:31:44,500 |
| thing على أسوأ شيء دائما احنا we are looking to |
|
|
| 359 |
| 00:31:44,500 --> 00:31:48,780 |
| the future as a flourish a future and we ignoring |
|
|
| 360 |
| 00:31:48,780 --> 00:31:51,860 |
| the worst things يعني بنشوف المستقبل أحسن شيء و |
|
|
| 361 |
| 00:31:51,860 --> 00:31:55,620 |
| أحلى شيء ف sometimes you have to look back and to |
|
|
| 362 |
| 00:31:55,620 --> 00:31:58,360 |
| see if the worst thing happened what you can do |
|
|
| 363 |
| 00:31:58,360 --> 00:32:02,870 |
| then إذا أسوأ شيء صار شو نعمل؟ from the investment |
|
|
| 364 |
| 00:32:02,870 --> 00:32:08,250 |
| point of view من وجهة نظر المستثمرين، so if you |
|
|
| 365 |
| 00:32:08,250 --> 00:32:10,790 |
| know the worst things so you can easily manage the |
|
|
| 366 |
| 00:32:10,790 --> 00:32:13,870 |
| investment لكن if you don't know the worst things |
|
|
| 367 |
| 00:32:13,870 --> 00:32:17,630 |
| so how you can know this so commonly estimated in |
|
|
| 368 |
| 00:32:17,630 --> 00:32:20,790 |
| practice كتير مشهورة بالـ practice is the return at |
|
|
| 369 |
| 00:32:20,790 --> 00:32:25,490 |
| the fifth percentile okay يعني الـ .. الـ .. الـ .. |
|
|
| 370 |
| 00:32:25,490 --> 00:32:28,930 |
| بتعرفوا الـ .. أخدتوا الاشارات؟ أخدتوا الاشارات و |
|
|
| 371 |
| 00:32:28,930 --> 00:32:33,250 |
| الربيع؟ الربيع الأول؟ الربيع الثاني؟ هذا هو الزمان |
|
|
| 372 |
| 00:32:33,250 --> 00:32:37,070 |
| أخدته يعني هي بتيجي بعد ما أنا أقسم البيانات شوف |
|
|
| 373 |
| 00:32:37,070 --> 00:32:41,730 |
| عندي بيانات في عندي observation اه بقسمها إلى |
|
|
| 374 |
| 00:32:41,730 --> 00:32:47,650 |
| أشيريات percentiles فـ percentile أنه احنا بنقسم |
|
|
| 375 |
| 00:32:47,650 --> 00:32:51,330 |
| البيانات من الـ .. البيانات .. البيانات بنقسمها من |
|
|
| 376 |
| 00:32:51,330 --> 00:32:56,550 |
| أعلى إلى أقل وبنقسمها إلى .. إلى عشيريات أول عشرات |
|
|
| 377 |
| 00:32:56,550 --> 00:33:00,110 |
| .. يعني مثلا جيبنا درجات الطلاب مثلا جيبنا درجات |
|
|
| 378 |
| 00:33:00,110 --> 00:33:05,850 |
| الطلاب من تسعين لسفر مش لمية أو من مية لسفرأه من |
|
|
| 379 |
| 00:33:05,850 --> 00:33:11,170 |
| مية لسفر بعدين جسمنا عملنا لهم ranking و روحنا |
|
|
| 380 |
| 00:33:11,170 --> 00:33:14,470 |
| جيبنا أول عشر طلاب بعدين ثانية عشر طلاب ثالث عشر |
|
|
| 381 |
| 00:33:14,470 --> 00:33:18,930 |
| طلاب رابعة و .. and so on هنجري أنه احنا حسب .. |
|
|
| 382 |
| 00:33:18,930 --> 00:33:22,270 |
| هذا بيسموه percentile هذا إيش اسمه؟ في عندنا شغل |
|
|
| 383 |
| 00:33:22,270 --> 00:33:26,210 |
| اسمه quartile و في quantile و في عندنا percentile |
|
|
| 384 |
| 00:33:26,210 --> 00:33:31,950 |
| okay بقى percent اللي هو الربيع و العشر و المهم |
|
|
| 385 |
| 00:33:32,700 --> 00:33:36,460 |
| ففي ال percentile أو خلينا نحكي بال .. إذا قسمناهم |
|
|
| 386 |
| 00:33:36,460 --> 00:33:40,420 |
| لمئة مثلا أو لعشرة طبعا هم مستخدم ال quantile |
|
|
| 387 |
| 00:33:40,420 --> 00:33:43,880 |
| ممكن نستخدم ال percentile نقسمهم لأول عشرة .. أول |
|
|
| 388 |
| 00:33:43,880 --> 00:33:46,320 |
| عشرة .. أول عشرة .. هذا أول عشرة .. ثاني عشرة .. |
|
|
| 389 |
| 00:33:46,320 --> 00:33:50,440 |
| ال values at risk هي بتكون بالعشرات اللي تحت يعني |
|
|
| 390 |
| 00:33:50,440 --> 00:33:53,340 |
| بالنسبة للطلاب ال values عشان أنا أعرف where is |
|
|
| 391 |
| 00:33:53,340 --> 00:33:57,280 |
| the best هيكونوا هم اللي تحت أصلا فعشان هيك they |
|
|
| 392 |
| 00:33:57,280 --> 00:34:02,480 |
| take the last quantiles or last quantiles or last |
|
|
| 393 |
| 00:34:02,480 --> 00:34:06,480 |
| percentiles okay when returns are sorted from high |
|
|
| 394 |
| 00:34:06,480 --> 00:34:10,800 |
| to low جربوها يعني لو بتاخدوا معايا الحاسوب |
|
|
| 395 |
| 00:34:10,800 --> 00:34:14,520 |
| التحليل معايا بيواجهيكوا how .. بيصنفوا ناخذ آخر |
|
|
| 396 |
| 00:34:14,520 --> 00:34:18,240 |
| ناس سهل نعرف أن مين أسوأ ناس موجودين لا سمح الله |
|
|
| 397 |
| 00:34:18,240 --> 00:34:21,920 |
| يعني okay |
|
|
| 398 |
| 00:34:21,920 --> 00:34:27,470 |
| خليني بس ع السريع لإن أنا هخلصكم اليوم الشغلات |
|
|
| 399 |
| 00:34:27,470 --> 00:34:32,810 |
| المصيبة ال dial بس ال expected shortfall is expected |
|
|
| 400 |
| 00:34:32,810 --> 00:34:35,910 |
| shortfall is also called conditional tail |
|
|
| 401 |
| 00:34:35,910 --> 00:34:40,110 |
| expectation المشكلة |
|
|
| 402 |
| 00:34:40,110 --> 00:34:44,530 |
| في ال values at risk is comparing these values |
|
|
| 403 |
| 00:34:44,530 --> 00:34:49,350 |
| with these values لما احنا we compare this نقرر |
|
|
| 404 |
| 00:34:49,350 --> 00:34:54,140 |
| الناس الشاطرين بالناس الرسوبيين يعني we compare the |
|
|
| 405 |
| 00:34:54,140 --> 00:34:57,300 |
| positive values with the negative values هذا باسمه |
|
|
| 406 |
| 00:34:57,300 --> 00:34:59,820 |
| بال values at risk so values at risk is a |
|
|
| 407 |
| 00:34:59,820 --> 00:35:05,680 |
| conservative measure يعني محافظ شوية but in |
|
|
| 408 |
| 00:35:05,680 --> 00:35:08,900 |
| shortfalls is only focusing on the negative values |
|
|
| 409 |
| 00:35:08,900 --> 00:35:12,340 |
| بس بتركز على ال negative values to what extent |
|
|
| 410 |
| 00:35:12,340 --> 00:35:18,980 |
| these values are negative؟ قد إيش هم سيئين أصلا okay |
|
|
| 411 |
| 00:35:18,980 --> 00:35:23,750 |
| we know we have negative values يعني احنا بنعرف أن |
|
|
| 412 |
| 00:35:23,750 --> 00:35:28,270 |
| في عندنا negative returns but to what extent these |
|
|
| 413 |
| 00:35:28,270 --> 00:35:31,990 |
| negative returns influence on our portfolio or in |
|
|
| 414 |
| 00:35:31,990 --> 00:35:37,890 |
| our decision يعني شفنا مثلا في عندنا طلاب راسبين |
|
|
| 415 |
| 00:35:37,890 --> 00:35:42,870 |
| تحت لكن قد إيش هدول مهمين بالنسبة لنا إذا جينا أن |
|
|
| 416 |
| 00:35:42,870 --> 00:35:48,720 |
| والله هذا العدد مقارنة مع ال big people أنه very |
|
|
| 417 |
| 00:35:48,720 --> 00:35:52,700 |
| very small we can ignore them but if it is if |
|
|
| 418 |
| 00:35:52,700 --> 00:35:57,080 |
| there is a problem if we observe if we observe the |
|
|
| 419 |
| 00:35:57,080 --> 00:36:00,380 |
| negative return like we have a number of people so |
|
|
| 420 |
| 00:36:00,380 --> 00:36:06,240 |
| we focus on this ف shortfalls is not comparing the |
|
|
| 421 |
| 00:36:06,240 --> 00:36:09,040 |
| good people with the good results with the bad |
|
|
| 422 |
| 00:36:09,040 --> 00:36:12,980 |
| results just only focusing on the bad results بس |
|
|
| 423 |
| 00:36:12,980 --> 00:36:16,880 |
| بتطلع ال negative returns okay and see why why |
|
|
| 424 |
| 00:36:16,880 --> 00:36:21,960 |
| these negative returns So values at risk take the |
|
|
| 425 |
| 00:36:21,960 --> 00:36:26,640 |
| highest return from the worst cases Okay بتاخد |
|
|
| 426 |
| 00:36:26,640 --> 00:36:32,840 |
| أعلى عائد من أسوأ حالات Expected shortfalls اللي |
|
|
| 427 |
| 00:36:32,840 --> 00:36:37,420 |
| EC take an average return of the worst cases هتيجي |
|
|
| 428 |
| 00:36:37,420 --> 00:36:43,170 |
| كأنه إيش هنسوي طلعوا هنا شوفوا الحالة هنا في ال |
|
|
| 429 |
| 00:36:43,170 --> 00:36:46,970 |
| values at risk ال average moved to the down، |
|
|
| 430 |
| 00:36:46,970 --> 00:36:52,290 |
| مظبوط؟ وشوفنا إيش ال .. إيش هذا تأثرت بهدول، لكن |
|
|
| 431 |
| 00:36:52,290 --> 00:36:56,250 |
| بال .. ال expected shortfalls هذا .. we ignore |
|
|
| 432 |
| 00:36:56,250 --> 00:37:00,550 |
| this and we calculate the average of this، بنشوف |
|
|
| 433 |
| 00:37:00,550 --> 00:37:04,870 |
| ال average تلقى هدول، قد إيش هو is negative، قد إيش هو |
|
|
| 434 |
| 00:37:04,870 --> 00:37:10,250 |
| سيء هذا الفرق بين ال values at risk و بين expected |
|
|
| 435 |
| 00:37:10,250 --> 00:37:13,790 |
| shortfalls expected shortfalls تأخذ عدد عادل عادل |
|
|
| 436 |
| 00:37:13,790 --> 00:37:19,750 |
| عادل عادل عادل عادل عادل عادل عادل عادل عادل عادل |
|
|
| 437 |
| 00:37:19,750 --> 00:37:21,010 |
| عادل عادل عادل عادل عادل عادل عادل عادل عادل عادل |
|
|
| 438 |
| 00:37:21,010 --> 00:37:24,190 |
| عادل عادل عادل عادل عادل عادل عادل عادل عادل عادل |
|
|
| 439 |
| 00:37:24,190 --> 00:37:25,530 |
| عادل عادل عادل عادل عادل عادل عادل عادل عادل عادل |
|
|
| 440 |
| 00:37:25,530 --> 00:37:25,550 |
| عادل عادل عادل عادل عادل عادل عادل عادل عادل عادل |
|
|
| 441 |
| 00:37:25,550 --> 00:37:31,770 |
| عادل عادل عادل عادل |
|
|
| 442 |
| 00:37:31,770 --> 00:37:36,500 |
| على اللي هو ال lower partial standard deviation and |
|
|
| 443 |
| 00:37:36,500 --> 00:37:42,740 |
| the Sortino ratio احنا حكينا احنا إذا كان عندنا |
|
|
| 444 |
| 00:37:42,740 --> 00:37:47,540 |
| non-normal distribution so the average is no |
|
|
| 445 |
| 00:37:47,540 --> 00:37:52,940 |
| longer is a good measure to return or to the risk |
|
|
| 446 |
| 00:37:52,940 --> 00:37:57,140 |
| حكينا إذا كان البيانات مش normal distribution |
|
|
| 447 |
| 00:37:57,940 --> 00:38:00,640 |
| توزيعها مش طبيعي معناه الكلام ال average is |
|
|
| 448 |
| 00:38:00,640 --> 00:38:04,020 |
| misleading the standard deviation is misleading so |
|
|
| 449 |
| 00:38:04,020 --> 00:38:09,520 |
| what we can do then إيش ممكن نسوي instead of using |
|
|
| 450 |
| 00:38:09,520 --> 00:38:12,680 |
| average بدل ما احنا نستخدم ال average we can |
|
|
| 451 |
| 00:38:12,680 --> 00:38:19,180 |
| replace the average by the risk free يعني شوفوا |
|
|
| 452 |
| 00:38:19,180 --> 00:38:23,780 |
| شايفين البيانات هذه البيانات |
|
|
| 453 |
| 00:38:23,780 --> 00:38:29,100 |
| هذه هذه البيانات اللي فيها outliers وروحنا جيبنا ال |
|
|
| 454 |
| 00:38:29,100 --> 00:38:32,740 |
| average طالع حامل حسب ال lower partial standard |
|
|
| 455 |
| 00:38:32,740 --> 00:38:38,960 |
| deviation هذا ال average is misleading so the |
|
|
| 456 |
| 00:38:38,960 --> 00:38:42,600 |
| statisticians or the statistical people and the |
|
|
| 457 |
| 00:38:42,600 --> 00:38:45,340 |
| financial people think the average is misleading |
|
|
| 458 |
| 00:38:45,340 --> 00:38:51,580 |
| so what we can do then is remove the average بدل ال |
|
|
| 459 |
| 00:38:51,580 --> 00:38:54,960 |
| average so replace the average with the risk |
|
|
| 460 |
| 00:38:54,960 --> 00:38:55,240 |
| -free |
|
|
| 461 |
| 00:38:59,820 --> 00:39:03,120 |
| بنجيب ال average و بنحط ال risk free بلغة okay |
|
|
| 462 |
| 00:39:03,120 --> 00:39:09,140 |
| because the risk free is a parameter or a good |
|
|
| 463 |
| 00:39:09,140 --> 00:39:12,620 |
| indicator for all of the investments فاحنا بنشوف |
|
|
| 464 |
| 00:39:12,620 --> 00:39:17,400 |
| ال risk free وين بيجي أه بيجي أها خلاص فلما بنحسب |
|
|
| 465 |
| 00:39:17,400 --> 00:39:20,440 |
| ال sigma بنقول هذه ال observation ناقصها يعني لما |
|
|
| 466 |
| 00:39:20,440 --> 00:39:24,900 |
| احنا نحسب ال sigma كنا نحسبها R minus R bar okay |
|
|
| 467 |
| 00:39:24,900 --> 00:39:28,500 |
| تربيع divided by N صح؟ |
|
|
| 468 |
| 00:39:31,100 --> 00:39:34,840 |
| في حالة ما نستخدم ال lower partial هنشيل ال R bar |
|
|
| 469 |
| 00:39:34,840 --> 00:39:44,880 |
| ونحط بدلها إيه؟ ال R ال RR بس فهدول بيعتقدوا أنه |
|
|
| 470 |
| 00:39:44,880 --> 00:39:49,260 |
| هيك أدق بيصير so issues need to consider negative |
|
|
| 471 |
| 00:39:49,260 --> 00:39:52,620 |
| deviations separately طبعا هاي negative retained |
|
|
| 472 |
| 00:39:52,620 --> 00:39:55,180 |
| separately بتتوافق مع ال expected shortfalls، |
|
|
| 473 |
| 00:39:55,180 --> 00:39:58,840 |
| مظبوط؟ ها دي بتتوافق مع ال expected shortfalls |
|
|
| 474 |
| 00:39:58,840 --> 00:40:04,420 |
| اللي فاتت yes لأن احنا just focus on the expected |
|
|
| 475 |
| 00:40:04,420 --> 00:40:10,620 |
| shortfalls هذي بس ركزوا على ال negative values |
|
|
| 476 |
| 00:40:12,010 --> 00:40:16,050 |
| الإضافة الجديدة اللي عملوها يعني هي ال ال values |
|
|
| 477 |
| 00:40:16,050 --> 00:40:20,030 |
| at risk انتبهوا ال values at risk زي صار فيها |
|
|
| 478 |
| 00:40:20,030 --> 00:40:23,430 |
| developments بعدين اجوا ناس قالوا لأ ال values at |
|
|
| 479 |
| 00:40:23,430 --> 00:40:26,590 |
| risk هي conservatives خلينا نطور واحدة ثانية |
|
|
| 480 |
| 00:40:26,590 --> 00:40:29,730 |
| سموها ال expected shortfalls قالوا لأ ال expected |
|
|
| 481 |
| 00:40:29,730 --> 00:40:33,750 |
| shortfalls بتاخد عند اعتبار ال average صحيح it's |
|
|
| 482 |
| 00:40:33,750 --> 00:40:37,800 |
| it's looking at the negative returns بقى is looking |
|
|
| 483 |
| 00:40:37,800 --> 00:40:40,460 |
| to the average and the average is misleading so |
|
|
| 484 |
| 00:40:40,460 --> 00:40:45,780 |
| what we can do then replace the average by the by |
|
|
| 485 |
| 00:40:45,780 --> 00:40:49,000 |
| the risk free فهم اعتمدوا نقطتين need to consider |
|
|
| 486 |
| 00:40:49,000 --> 00:40:51,220 |
| the negative deviation separately negative returns |
|
|
| 487 |
| 00:40:51,220 --> 00:40:53,900 |
| and need to consider deviation from return from |
|
|
| 488 |
| 00:40:53,900 --> 00:40:57,620 |
| the risk free rates من ال risk free not from the |
|
|
| 489 |
| 00:40:57,620 --> 00:40:59,280 |
| not from the average |
|
|
| 490 |
| 00:41:07,530 --> 00:41:11,730 |
| هذه الأولى look like they expected shortfalls |
|
|
| 491 |
| 00:41:11,730 --> 00:41:15,930 |
| خلصنا إيش عملوا تطوير عليها؟ عملوا تطوير جديد |
|
|
| 492 |
| 00:41:15,930 --> 00:41:21,570 |
| عليها بدل ما يحسبوا ال minus minus the average |
|
|
| 493 |
| 00:41:21,570 --> 00:41:29,850 |
| استخدموا ال risk free بس ال LBSD similar to usual |
|
|
| 494 |
| 00:41:29,850 --> 00:41:32,390 |
| standard deviation هي شبه ال standard deviation |
|
|
| 495 |
| 00:41:32,390 --> 00:41:37,700 |
| لكن إيش الفرق منها؟ بس ال risk free طيب فاكرين |
|
|
| 496 |
| 00:41:37,700 --> 00:41:43,760 |
| share ratio share ratio اللي هو ال share ratio |
|
|
| 497 |
| 00:41:43,760 --> 00:41:46,700 |
| اللي حكيناكوا فيها ال excess return او risk |
|
|
| 498 |
| 00:41:46,700 --> 00:41:51,700 |
| premium divided by the standard deviation، مظبوط؟ |
|
|
| 499 |
| 00:41:51,700 --> 00:41:58,220 |
| طيب بما أن ال data is not normally distributed طب |
|
|
| 500 |
| 00:41:58,220 --> 00:42:02,520 |
| بعد كلام ال share ratio is not working هذا الكلام |
|
|
| 501 |
| 00:42:02,520 --> 00:42:05,800 |
| حكيناه قويا قبل تلت أربعتين قولنا إذا البيانات |
|
|
| 502 |
| 00:42:05,800 --> 00:42:10,840 |
| توزيع غير طبيعي معنى الكلام إن ال-sharp ratio مش |
|
|
| 503 |
| 00:42:10,840 --> 00:42:16,080 |
| صح please focus on this what I said just three |
|
|
| 504 |
| 00:42:16,080 --> 00:42:20,000 |
| meetings I said if our data is not normally |
|
|
| 505 |
| 00:42:20,000 --> 00:42:25,080 |
| distributed we cannot.. we no longer use the |
|
|
| 506 |
| 00:42:25,080 --> 00:42:29,290 |
| sharp ratio طب what is the solution if our data is |
|
|
| 507 |
| 00:42:29,290 --> 00:42:33,970 |
| not normally distributed we can just replace the |
|
|
| 508 |
| 00:42:33,970 --> 00:42:35,730 |
| standard deviation because the standard deviation |
|
|
| 509 |
| 00:42:35,730 --> 00:42:38,830 |
| is misleading in Sharpe ratio and replace this |
|
|
| 510 |
| 00:42:38,830 --> 00:42:44,870 |
| with the downside risk yes and when we replace it with |
|
|
| 511 |
| 00:42:44,870 --> 00:42:50,170 |
| downside risk it's become Sortino ratio or Sortino |
|
|
| 512 |
| 00:42:55,820 --> 00:42:59,780 |
| So Sortino Ratio is similar to the Sharpe Ratio |
|
|
| 513 |
| 00:42:59,780 --> 00:43:03,300 |
| بقى in .. in .. in the Sortino Ratio just we |
|
|
| 514 |
| 00:43:03,300 --> 00:43:06,160 |
| replace the standard deviation with the downside risk |
|
|
| 515 |
| 00:43:06,160 --> 00:43:12,460 |
| اه حلو والله okay |
|
|
| 516 |
| 00:43:12,460 --> 00:43:18,600 |
| تمام |
|
|
| 517 |
| 00:43:18,600 --> 00:43:19,500 |
| okay |
|
|