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آرشیو
دسته بندیها
- ۱۳ اردیبهشت ۱۴۰۲
- تیم تحریریهتیم تحریریه
- 0
انحراف معیار بازدهی یک اندازهگیری از نوسانات و یا ریسک است. هرچه انحراف معیار بازدهی بیشتر باشد، انواع بیشتری از تغییرات را در بازدهی انتظار میرود. مدیر صندوق میتواند این شاخص را برای هر یک از این «اشیاء» اعلام کند: سرمایهگذاری، نماد، نوع دارایی، هدف سرمایهگذاری، صنعت، نوع سرمایهگذاری یا زیر-نمایه.
انحراف معیار بازدهی چگونه محاسبه میشود؟
در محاسبه انحراف معیار بازدهی، بازدهی ماهانه ساده برای هر سرمایهگذاری در شیء محاسبه شده، در بازه مقایسه مشخصشده محاسبه میشود. بازدهی ماهانه ساده به صورت زیر است:
بازدهی = (قیمت پایانی + توزیع به ازای هر سهم – قیمت ابتدایی) / قیمت ابتدایی
اگر بازه مقایسه ۵ سال باشد، ۶۰ بازدهی ماهانه وجود دارد. انحراف معیار بازدهی برای شیء محاسبهای از فرمول زیر استفاده میکند:
انحراف معیار شیء، ترکیبی از وزن ارزشی و انحراف معیار بازدهی هر سرمایهگذاری در شیء محاسبهشده است. همچنین، تابعی از همبستگی بازدهی بین هر سرمایهگذاری در شیء محاسبه شده است.
‘N’ تعداد کل سرمایهگذاریها در شیء محاسبه شده است (تک سرمایهگذاری، نماد، نوع دارایی، هدف سرمایهگذاری، صنعت، نوع سرمایهگذاری یا زیر-نمایه). در صورتی که شیء محاسبه شده یک سرمایهگذاری تکی باشد، ‘N’ برابر ۱ خواهد بود. در صورت یک زیر-نمایه با ۱۰ سرمایهگذاری، ‘N’ برابر ۱۰ خواهد بود و غیره… .
‘wi’ وزن آن سرمایهگذاری در کل شیء محاسبهشده است. وزن با استفاده از ارزش پایانی تعیین میشود.
‘σi’ انحراف معیار بازدهی آن سرمایهگذاری است. در صورتی که بازه مقایسه ۵ سال باشد، ۶۰ بازدهی ماهانه برای هر سرمایهگذاری محاسبه میشود. این انحراف معیار برای ۶۰ بازدهی ‘i’، با استفاده از فرمول معمول انحراف معیار، محاسبه میشود.
انحراف معیار بازگشتها
انحراف معیار بازگشتها معیاری از نوسانات یا ریسک است. هر چه انحراف معیار بازگشت بزرگتر باشد، انتظار دارید نوسانات بزرگتری در بازگشتها ببینید. مدیر صندوق میتواند این شاخص را برای هر یک از این «اشیاء» گزارش دهد: سرمایهگذاری، نماد، نوع دارایی، هدف سرمایهگذاری، بخش، نوع سرمایهگذاری یا زیر-نمایه.
جزئیات محاسبه انحراف معیار بازگشتها
هنگام محاسبه انحراف معیار بازگشتها، بازدهیهای ماهانه ساده در طول دوره مقایسه مشخص شده برای هر سرمایهگذاری در شیء محاسبهشده محاسبه میشود. بازده ساده ماهانه به صورت زیر است:
بازدهی = (قیمت پایانی + تقسیم سود سهم بر تعداد سهام – قیمت ابتدایی) / قیمت ابتدایی
اگر دوره مقایسه ۵ سال باشد، ۶۰ بازده ماهانه وجود دارد. برای شیء محاسبات، انحراف معیار بازگشت، از فرمول زیر استفاده میکند:
انحراف معیار شیء، ترکیبی از وزن ارزش و انحراف معیار بازگشت هر سرمایهگذاری در شیء محاسبه شده است. همچنین، تابعی از همبستگی در بازگشت بین هر سرمایهگذاری در شیء است.
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