╨Ч╨Х╨а╨Ъ╨Р╨Ы╨Ю
MIRR (╨╝╨╛╨┤╨╕╤Д╨╕╤Ж╨╕╤А╨╛╨▓╨░╨╜╨╜╨░╤П ╨▓╨╜╤Г╤В╤А╨╡╨╜╨╜╤П╤П ╨╜╨╛╤А╨╝╨░ ╨┤╨╛╤Е╨╛╨┤╨╜╨╛╤Б╤В╨╕)
MIRR ╨╕╨╗╨╕ ╨╝╨╛╨┤╨╕╤Д╨╕╤Ж╨╕╤А╨╛╨▓╨░╨╜╨╜╨░╤П ╨▓╨╜╤Г╤В╤А╨╡╨╜╨╜╤П╤П ╨╜╨╛╤А╨╝╨░ ╨┤╨╛╤Е╨╛╨┤╨╜╨╛╤Б╤В╨╕ ╨╛╤В╨╜╨╛╤Б╨╕╤В╤Б╤П ╨║ ╤Д╨╕╨╜╨░╨╜╤Б╨╛╨▓╨╛╨╣ ╨╝╨╡╤В╤А╨╕╨║╨╡, ╨╕╤Б╨┐╨╛╨╗╤М╨╖╤Г╨╡╨╝╨╛╨╣ ╨┤╨╗╤П ╤В╨╛╤З╨╜╨╛╨╣ ╨╛╤Ж╨╡╨╜╨║╨╕ ╤Б╤В╨╛╨╕╨╝╨╛╤Б╤В╨╕ ╨╕ ╨┐╤А╨╕╨▒╤Л╨╗╤М╨╜╨╛╤Б╤В╨╕ ╨┐╨╛╤В╨╡╨╜╤Ж╨╕╨░╨╗╤М╨╜╤Л╤Е ╨╕╨╜╨▓╨╡╤Б╤В╨╕╤Ж╨╕╨╣ ╨╕╨╗╨╕ ╨┐╤А╨╛╨╡╨║╤В╨╛╨▓. ╨н╤В╨╛ ╨┐╨╛╨╖╨▓╨╛╨╗╤П╨╡╤В ╨║╨╛╨╝╨┐╨░╨╜╨╕╤П╨╝ ╨╕ ╨╕╨╜╨▓╨╡╤Б╤В╨╛╤А╨░╨╝ ╨▓╤Л╨▒╨╕╤А╨░╤В╤М ╨╗╤Г╤З╤И╨╕╨╣ ╨┐╤А╨╛╨╡╨║╤В ╨╕╨╗╨╕ ╨╕╨╜╨▓╨╡╤Б╤В╨╕╤Ж╨╕╤О ╨╜╨░ ╨╛╤Б╨╜╨╛╨▓╨╡ ╨╛╨╢╨╕╨┤╨░╨╡╨╝╨╛╨╣ ╨┤╨╛╤Е╨╛╨┤╨╜╨╛╤Б╤В╨╕. ╨н╤В╨╛ ╨╜╨╡ ╤З╤В╨╛ ╨╕╨╜╨╛╨╡, ╨║╨░╨║ ╨╝╨╛╨┤╨╕╤Д╨╕╤Ж╨╕╤А╨╛╨▓╨░╨╜╨╜╨░╤П ╤Д╨╛╤А╨╝╨░ ╨▓╨╜╤Г╤В╤А╨╡╨╜╨╜╨╡╨╣ ╨╜╨╛╤А╨╝╤Л ╨┐╤А╨╕╨▒╤Л╨╗╨╕ (IRR).
╨Я╤А╨╕ ╤Б╨╛╤Б╤В╨░╨▓╨╗╨╡╨╜╨╕╨╕ ╨▒╤О╨┤╨╢╨╡╤В╨░ ╨║╨░╨┐╨╕╤В╨░╨╗╨╛╨▓╨╗╨╛╨╢╨╡╨╜╨╕╨╣ ╨╝╨╛╨┤╨╕╤Д╨╕╤Ж╨╕╤А╨╛╨▓╨░╨╜╨╜╨░╤П ╨▓╨╜╤Г╤В╤А╨╡╨╜╨╜╤П╤П ╨╜╨╛╤А╨╝╨░ ╨┤╨╛╤Е╨╛╨┤╨╜╨╛╤Б╤В╨╕ ╨┐╨╛╨╖╨▓╨╛╨╗╤П╨╡╤В ╨╛╤А╨│╨░╨╜╨╕╨╖╨░╤Ж╨╕╤П╨╝ ╤Б╤А╨░╨▓╨╜╨╕╨▓╨░╤В╤М ╨╢╨╕╨╖╨╜╨╡╤Б╨┐╨╛╤Б╨╛╨▒╨╜╨╛╤Б╤В╤М ╨╕╨╗╨╕ ╨┤╨╛╤Е╨╛╨┤╨╜╨╛╤Б╤В╤М ╨╕╨╜╨▓╨╡╤Б╤В╨╕╤Ж╨╕╨╣ ╨╕╨╗╨╕ ╨┐╤А╨╛╨╡╨║╤В╨╛╨▓ ╤Б ╨┤╤А╤Г╨│╨╕╨╝╨╕. ╨Т ╨╛╤В╨╗╨╕╤З╨╕╨╡ ╨╛╤В IRR, ╨║╨╛╤В╨╛╤А╤Л╨╣ ╨╖╨░╨▓╤Л╤И╨░╨╡╤В ╨┐╤А╨╕╨▓╨╗╨╡╨║╨░╤В╨╡╨╗╤М╨╜╨╛╤Б╤В╤М ╨╗╤О╨▒╤Л╤Е ╨╕╨╜╨▓╨╡╤Б╤В╨╕╤Ж╨╕╨╣ ╨╕ ╨▓╨▓╨╛╨┤╨╕╤В ╨╕╨╜╨▓╨╡╤Б╤В╨╛╤А╨╛╨▓ ╨▓ ╨╖╨░╨▒╨╗╤Г╨╢╨┤╨╡╨╜╨╕╨╡ ╨╛╤В╨╜╨╛╤Б╨╕╤В╨╡╨╗╤М╨╜╨╛ ╨╛╨╢╨╕╨┤╨░╨╡╨╝╨╛╨╣ ╨▒╨╛╨╗╨╡╨╡ ╨▓╤Л╤Б╨╛╨║╨╛╨╣ ╨┤╨╛╤Е╨╛╨┤╨╜╨╛╤Б╤В╨╕, MIRR ╨┐╤А╨╡╨┤╨╗╨░╨│╨░╨╡╤В ╤В╨╛╤З╨╜╤Г╤О ╨╛╤Ж╨╡╨╜╨║╤Г ROI, ╨╜╨░ ╨║╨╛╤В╨╛╤А╤Г╤О ╨╝╨╛╨│╤Г╤В ╤А╨░╤Б╤Б╤З╨╕╤В╤Л╨▓╨░╤В╤М ╨╕╨╜╨▓╨╡╤Б╤В╨╛╤А╤Л.
╨Ю╨│╨╗╨░╨▓╨╗╨╡╨╜╨╕╨╡
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╨Ъ╨╗╤О╤З╨╡╨▓╤Л╨╡ ╨▓╤Л╨▓╨╛╨┤╤Л
- MIRR тАФ ╤Н╤В╨╛ ╤Д╨╕╨╜╨░╨╜╤Б╨╛╨▓╤Л╨╣ ╨┐╨╛╨║╨░╨╖╨░╤В╨╡╨╗╤М, ╨╕╤Б╨┐╨╛╨╗╤М╨╖╤Г╨╡╨╝╤Л╨╣ ╤Д╨╕╤А╨╝╨░╨╝╨╕ ╨╕ ╨╕╨╜╨▓╨╡╤Б╤В╨╛╤А╨░╨╝╨╕ ╨┤╨╗╤П ╤А╨░╤Б╤З╨╡╤В╨░ ╤Б╤В╨╛╨╕╨╝╨╛╤Б╤В╨╕ ╨╕ ╨┐╤А╨╕╨▒╤Л╨╗╤М╨╜╨╛╤Б╤В╨╕ ╨╜╨╛╨▓╤Л╤Е ╨╕╨╜╨▓╨╡╤Б╤В╨╕╤Ж╨╕╨╣ ╨╕╨╗╨╕ ╨┐╤А╨╛╨╡╨║╤В╨╛╨▓. ╨н╤В╨╛ ╨┐╤А╨╛╤Б╤В╨╛ ╨╕╨╖╨╝╨╡╨╜╨╡╨╜╨╜╨░╤П ╤Д╨╛╤А╨╝╨░ ╨▓╨╜╤Г╤В╤А╨╡╨╜╨╜╨╡╨╣ ╨╜╨╛╤А╨╝╤Л ╨┐╤А╨╕╨▒╤Л╨╗╨╕ (IRR).
- ╨Ю╨╜ ╨╛╤Ж╨╡╨╜╨╕╨▓╨░╨╡╤В ╨╕╨╜╨▓╨╡╤Б╤В╨╕╤Ж╨╕╨╕ ╨╕ ╨┐╤А╨╛╨╡╨║╤В╤Л ╨╜╨░ ╨╛╤Б╨╜╨╛╨▓╨╡ ╨▓╨╛╨╖╨╝╨╛╨╢╨╜╨╛╤Б╤В╨╡╨╣, ╨║╨╛╤В╨╛╤А╤Л╨╡ ╨╛╨╜╨╕ ╨┐╤А╨╡╨┤╨╛╤Б╤В╨░╨▓╨╗╤П╤О╤В, ╨╕ ╤Г╤Б╤В╤А╨░╨╜╤П╨╡╤В ╨╛╤И╨╕╨▒╨║╨╕ ╨┐╨╗╨░╨╜╨╕╤А╨╛╨▓╨░╨╜╨╕╤П ╨║╨░╨┐╨╕╤В╨░╨╗╨╛╨▓╨╗╨╛╨╢╨╡╨╜╨╕╨╣, ╨▓╤Л╨╖╨▓╨░╨╜╨╜╤Л╨╡ IRR.
- ╨Т ╨╛╤В╨╗╨╕╤З╨╕╨╡ ╨╛╤В IRR, ╨║╨╛╤В╨╛╤А╤Л╨╣ ╨▓╨▓╨╛╨┤╨╕╤В ╨╕╨╜╨▓╨╡╤Б╤В╨╛╤А╨╛╨▓ ╨▓ ╨╖╨░╨▒╨╗╤Г╨╢╨┤╨╡╨╜╨╕╨╡, ╨╖╨░╤Б╤В╨░╨▓╨╗╤П╤П ╨╕╤Е ╨╛╨╢╨╕╨┤╨░╤В╤М ╨▒╨╛╨╗╤М╤И╨╕╤Е ╨┤╨╛╤Е╨╛╨┤╨╛╨▓, MIRR ╨┤╨░╨╡╤В ╤В╨╛╤З╨╜╤Г╤О ╨╛╤Ж╨╡╨╜╨║╤Г ROI, ╨╜╨░ ╨║╨╛╤В╨╛╤А╤Г╤О ╨╝╨╛╨│╤Г╤В ╤А╨░╤Б╤Б╤З╨╕╤В╤Л╨▓╨░╤В╤М ╨╕╨╜╨▓╨╡╤Б╤В╨╛╤А╤Л.
- ╨Ю╨╜ ╤А╨░╨╜╨╢╨╕╤А╤Г╨╡╤В ╨╕╨╜╨▓╨╡╤Б╤В╨╕╤Ж╨╕╨╕ ╨╜╨░ ╨╛╤Б╨╜╨╛╨▓╨╡ ╨╕╤Е ╨▓╨╛╨╖╨╝╨╛╨╢╨╜╨╛╤Б╤В╨╡╨╣ ╨╕ ╤Г╤Б╤В╤А╨░╨╜╤П╨╡╤В ╨▓╤Б╨╡ ╨┐╤А╨╛╨▒╨╗╨╡╨╝╤Л, ╨▓╨╛╨╖╨╜╨╕╨║╨░╤О╤Й╨╕╨╡ ╨╕╨╖-╨╖╨░ ╨╜╨╡╤Б╨║╨╛╨╗╤М╨║╨╕╤Е IRR ╨╖╨░ ╨╛╨┤╨╕╨╜ ╨╕ ╤В╨╛╤В ╨╢╨╡ ╨┐╨╡╤А╨╕╨╛╨┤.
╨Ъ╨░╨║ ╤А╨░╤Б╤Б╤З╨╕╤В╨░╤В╤М MIRR?
MIRR ╨╛╤В╨╛╨▒╤А╨░╨╢╨░╨╡╤В ROI ╨▒╨╛╨╗╨╡╨╡ ╤З╨╡╤В╨║╨╛, ╤В╨╛╤З╨╜╨╛ ╨╕ ╤А╨╡╨░╨╗╨╕╤Б╤В╨╕╤З╨╜╨╛, ╨╕╤Б╨┐╨╛╨╗╤М╨╖╤Г╤П ╨┐╨░╤А╨░╨╝╨╡╤В╤А╤Л ╨╛╤Ж╨╡╨╜╨║╨╕. ╨Ю╨╜ ╤А╨░╤Б╤Б╤З╨╕╤В╤Л╨▓╨░╨╡╤В ╨║╨░╨║ ╤Б╤В╨╛╨╕╨╝╨╛╤Б╤В╤М ╨╕╨╜╨▓╨╡╤Б╤В╨╕╤Ж╨╕╨╣ (╨║╨░╨┐╨╕╤В╨░╨╗╨░), ╤В╨░╨║ ╨╕ ╨┐╤А╨╛╤Ж╨╡╨╜╤В╤Л, ╨┐╨╛╨╗╤Г╤З╨╡╨╜╨╜╤Л╨╡ ╨╛╤В ╤Б╤А╨╡╨┤╤Б╤В╨▓, ╨┐╨╛╨┤╨╗╨╡╨╢╨░╤Й╨╕╤Е ╤А╨╡╨╕╨╜╨▓╨╡╤Б╤В╨╕╤А╨╛╨▓╨░╨╜╨╕╤О. ╨а╨╡╨╕╨╜╨▓╨╡╤Б╤В╨╕╤А╨╛╨▓╨░╨╜╨╕╨╡ ╨а╨╡╨╕╨╜╨▓╨╡╤Б╤В╨╕╤А╨╛╨▓╨░╨╜╨╕╨╡ тАФ ╤Н╤В╨╛ ╨┐╤А╨╛╤Ж╨╡╤Б╤Б ╨╕╨╜╨▓╨╡╤Б╤В╨╕╤А╨╛╨▓╨░╨╜╨╕╤П ╨┤╨╛╤Е╨╛╨┤╨╛╨▓, ╨┐╨╛╨╗╤Г╤З╨╡╨╜╨╜╤Л╤Е ╨╛╤В ╨╕╨╜╨▓╨╡╤Б╤В╨╕╤Ж╨╕╨╣, ╨▓ ╨┤╨╕╨▓╨╕╨┤╨╡╨╜╨┤╤Л, ╨┐╤А╨╛╤Ж╨╡╨╜╤В╤Л ╨╕╨╗╨╕ ╨┤╨╡╨╜╨╡╨╢╨╜╤Л╨╡ ╨▓╨╛╨╖╨╜╨░╨│╤А╨░╨╢╨┤╨╡╨╜╨╕╤П ╨┤╨╗╤П ╨┐╨╛╨║╤Г╨┐╨║╨╕ ╨┤╨╛╨┐╨╛╨╗╨╜╨╕╤В╨╡╨╗╤М╨╜╤Л╤Е ╨░╨║╤Ж╨╕╨╣ ╨╕ ╤А╨╡╨╕╨╜╨▓╨╡╤Б╤В╨╕╤А╨╛╨▓╨░╨╜╨╕╤П ╨┐╤А╨╕╨▒╤Л╨╗╨╕. ╨Ш╨╜╨▓╨╡╤Б╤В╨╛╤А╤Л ╨╜╨╡ ╨▓╤Л╨▒╨╕╤А╨░╤О╤В ╨┤╨╡╨╜╨╡╨╢╨╜╤Л╨╡ ╨▓╤Л╨┐╨╗╨░╤В╤Л, ╨┐╨╛╤Б╨║╨╛╨╗╤М╨║╤Г ╨╛╨╜╨╕ ╤А╨╡╨╕╨╜╨▓╨╡╤Б╤В╨╕╤А╤Г╤О╤В ╤Б╨▓╨╛╤О ╨┐╤А╨╕╨▒╤Л╨╗╤М ╨▓ ╤Б╨▓╨╛╨╣ ╨┐╨╛╤А╤В╤Д╨╡╨╗╤М. ╨Я╨╛╨┤╤А╨╛╨▒╨╜╨╡╨╡. ╨Ю╨╜ ╨┐╤А╨╡╨┤╨┐╨╛╨╗╨░╨│╨░╨╡╤В, ╤З╤В╨╛ ╤Б╤В╨░╨▓╨║╨░ ╤А╨╡╨╕╨╜╨▓╨╡╤Б╤В╨╕╤А╨╛╨▓╨░╨╜╨╕╤П ╤П╨▓╨╗╤П╨╡╤В╤Б╤П ╨┐╨╛╨╗╨╛╨╢╨╕╤В╨╡╨╗╤М╨╜╤Л╨╝ ╨┤╨╡╨╜╨╡╨╢╨╜╤Л╨╝ ╨┐╨╛╤В╨╛╨║╨╛╨╝ ╨║╨╛╨╝╨┐╨░╨╜╨╕╨╕, ╨▓ ╤В╨╛ ╨▓╤А╨╡╨╝╤П ╨║╨░╨║ ╤Д╨╕╨╜╨░╨╜╤Б╨╛╨▓╤Л╨╡ ╨╖╨░╤В╤А╨░╤В╤Л ╨д╨╕╨╜╨░╨╜╤Б╨╛╨▓╤Л╨╡ ╨╖╨░╤В╤А╨░╤В╤Л ╨д╨╕╨╜╨░╨╜╤Б╨╛╨▓╤Л╨╡ ╨╖╨░╤В╤А╨░╤В╤Л ╨╛╤В╨╜╨╛╤Б╤П╤В╤Б╤П ╨║ ╨┐╤А╨╛╤Ж╨╡╨╜╤В╨╜╤Л╨╝ ╨┐╨╗╨░╤В╨╡╨╢╨░╨╝ ╨╕ ╨┤╤А╤Г╨│╨╕╨╝ ╤А╨░╤Б╤Е╨╛╨┤╨░╨╝, ╨┐╨╛╨╜╨╡╤Б╨╡╨╜╨╜╤Л╨╝ ╨║╨╛╨╝╨┐╨░╨╜╨╕╨╡╨╣ ╨▓ ╤Б╨▓╤П╨╖╨╕ ╤Б ╨╛╨┐╨╡╤А╨░╤Ж╨╕╤П╨╝╨╕ ╨╕ ╤В╨╡╨║╤Г╤Й╨╕╨╝ ╤Г╨┐╤А╨░╨▓╨╗╨╡╨╜╨╕╨╡╨╝. ╨Я╤А╨╡╨┤╨┐╤А╨╕╤П╤В╨╕╨╡ ╤З╨░╤Б╤В╨╛ ╨╖╨░╨╜╨╕╨╝╨░╨╡╤В ╨┤╨╡╨╜╤М╨│╨╕ ╨╕╨╖ ╤А╨░╨╖╨╗╨╕╤З╨╜╤Л╤Е ╨╕╤Б╤В╨╛╤З╨╜╨╕╨║╨╛╨▓ ╤Д╨╕╨╜╨░╨╜╤Б╨╕╤А╨╛╨▓╨░╨╜╨╕╤П ╨┤╨╗╤П ╨▓╨╡╨┤╨╡╨╜╨╕╤П ╤Б╨▓╨╛╨╡╨╣ ╨┤╨╡╤П╤В╨╡╨╗╤М╨╜╨╛╤Б╤В╨╕ ╨▓ ╨╛╨▒╨╝╨╡╨╜ ╨╜╨░ ╨▓╤Л╨┐╨╗╨░╤В╤Г ╨┐╤А╨╛╤Ж╨╡╨╜╤В╨╛╨▓ ╨╕ ╨┐╤А╨╕╤А╨╛╤Б╤В ╨║╨░╨┐╨╕╤В╨░╨╗╨░. ╨з╨╕╤В╨░╤В╤М ╨┤╨░╨╗╨╡╨╡ ╨║╨░╨║ ╨╛╤В╤А╨╕╤Ж╨░╤В╨╡╨╗╤М╨╜╨╛╨╡. ╨Ь╨╛╨┤╨╕╤Д╨╕╤Ж╨╕╤А╨╛╨▓╨░╨╜╨╜╨░╤П ╨▓╨╜╤Г╤В╤А╨╡╨╜╨╜╤П╤П ╨╜╨╛╤А╨╝╨░ ╨┤╨╛╤Е╨╛╨┤╨╜╨╛╤Б╤В╨╕, ╤В╨░╨║╨╕╨╝ ╨╛╨▒╤А╨░╨╖╨╛╨╝, ╨╕╨╝╨╡╨╡╤В ╨┤╨╡╨╗╨╛ ╤Б ╨╛╤И╨╕╨▒╨║╨░╨╝╨╕ ╨┐╨╗╨░╨╜╨╕╤А╨╛╨▓╨░╨╜╨╕╤П ╨║╨░╨┐╨╕╤В╨░╨╗╨╛╨▓╨╗╨╛╨╢╨╡╨╜╨╕╨╣, ╨▓╤Л╨╖╨▓╨░╨╜╨╜╤Л╨╝╨╕ IRRIRR╨Т╨╜╤Г╤В╤А╨╡╨╜╨╜╤П╤П ╨╜╨╛╤А╨╝╨░ ╨┤╨╛╤Е╨╛╨┤╨╜╨╛╤Б╤В╨╕ (IRR) тАФ ╤Н╤В╨╛ ╤Б╤В╨░╨▓╨║╨░ ╨┤╨╕╤Б╨║╨╛╨╜╤В╨╕╤А╨╛╨▓╨░╨╜╨╕╤П, ╨║╨╛╤В╨╛╤А╨░╤П ╤Г╤Б╤В╨░╨╜╨░╨▓╨╗╨╕╨▓╨░╨╡╤В ╤З╨╕╤Б╤В╤Г╤О ╤В╨╡╨║╤Г╤Й╤Г╤О ╤Б╤В╨╛╨╕╨╝╨╛╤Б╤В╤М ╨▓╤Б╨╡╤Е ╨▒╤Г╨┤╤Г╤Й╨╕╤Е ╨┤╨╡╨╜╨╡╨╢╨╜╤Л╤Е ╨┐╨╛╤В╨╛╨║╨╛╨▓ ╨╛╤В ╨┐╤А╨╛╨╡╨║╤В╨░ ╨┤╨╛ ╨╜╤Г╨╗╤П. ╨Ю╨╜ ╤Б╤А╨░╨▓╨╜╨╕╨▓╨░╨╡╤В ╨╕ ╨▓╤Л╨▒╨╕╤А╨░╨╡╤В ╨╗╤Г╤З╤И╨╕╨╣ ╨┐╤А╨╛╨╡╨║╤В, ╨┐╤А╨╕ ╤Н╤В╨╛╨╝ ╨▓╤Л╨▒╨╕╤А╨░╨╡╤В╤Б╤П ╨┐╤А╨╛╨╡╨║╤В ╤Б IRR, ╨┐╤А╨╡╨▓╤Л╤И╨░╤О╤Й╨╕╨╝ ╨╝╨╕╨╜╨╕╨╝╨░╨╗╤М╨╜╨╛ ╨┤╨╛╨┐╤Г╤Б╤В╨╕╨╝╤Г╤О ╨┤╨╛╤Е╨╛╨┤╨╜╨╛╤Б╤В╤М (╨▒╨░╤А╤М╨╡╤А╨╜╤Г╤О ╤Б╤В╨░╨▓╨║╤Г). ╨Я╨╛╨┤╤А╨╛╨▒╨╜╨╡╨╡.
╨Ю╤А╨│╨░╨╜╨╕╨╖╨░╤Ж╨╕╨╕ ╤А╨░╨▒╨╛╤В╨░╤О╤В ╨╜╨░╨┤ ╤А╨░╤Б╤З╨╡╤В╨░╨╝╨╕, ╨╛╤Ж╨╡╨╜╨╕╨▓╨░╤П ╨┤╨╛╤Е╨╛╨┤╤Л. ╨Ф╨╛╤Е╨╛╨┤╤Л. ╨Ф╨╛╤Е╨╛╨┤╤Л тАФ ╤Н╤В╨╛ ╤Б╤Г╨╝╨╝╨░ ╨┤╨╡╨╜╨╡╨│, ╨║╨╛╤В╨╛╤А╤Г╤О ╨▒╨╕╨╖╨╜╨╡╤Б ╨╝╨╛╨╢╨╡╤В ╨╖╨░╤А╨░╨▒╨╛╤В╨░╤В╤М ╨▓ ╤Е╨╛╨┤╨╡ ╤Б╨▓╨╛╨╡╨╣ ╨╛╨▒╤Л╤З╨╜╨╛╨╣ ╨┤╨╡╤П╤В╨╡╨╗╤М╨╜╨╛╤Б╤В╨╕, ╨┐╤А╨╛╨┤╨░╨▓╨░╤П ╤Б╨▓╨╛╨╕ ╤В╨╛╨▓╨░╤А╤Л ╨╕ ╤Г╤Б╨╗╤Г╨│╨╕. ╨Т ╤Б╨╗╤Г╤З╨░╨╡ ╤Д╨╡╨┤╨╡╤А╨░╨╗╤М╨╜╨╛╨│╨╛ ╨┐╤А╨░╨▓╨╕╤В╨╡╨╗╤М╤Б╤В╨▓╨░ ╤Н╤В╨╛ ╨╛╤В╨╜╨╛╤Б╨╕╤В╤Б╤П ╨║ ╨╛╨▒╤Й╨╡╨╣ ╤Б╤Г╨╝╨╝╨╡ ╨┤╨╛╤Е╨╛╨┤╨╛╨▓, ╨┐╨╛╨╗╤Г╤З╨╡╨╜╨╜╤Л╤Е ╨╛╤В ╨╜╨░╨╗╨╛╨│╨╛╨▓, ╨║╨╛╤В╨╛╤А╤Л╨╡ ╨╛╤Б╤В╨░╤О╤В╤Б╤П ╨╜╨╡╨╛╤В╤Д╨╕╨╗╤М╤В╤А╨╛╨▓╨░╨╜╨╜╤Л╨╝╨╕ ╨╛╤В ╨║╨░╨║╨╕╤Е-╨╗╨╕╨▒╨╛ ╨▓╤Л╤З╨╡╤В╨╛╨▓, ╨┐╤А╨╕╨▒╤Л╨╗╨╕ ╨╕╨╗╨╕ ╤А╨░╤Б╤Е╨╛╨┤╨╛╨▓. ╨Ъ╨░╨╗╤М╨║╤Г╨╗╤П╤В╨╛╤А MIRR ╨╛╨▒╨╡╤Б╨┐╨╡╤З╨╕╨▓╨░╨╡╤В ╨▒╨╛╨╗╨╡╨╡ ╤В╨╛╤З╨╜╤Г╤О ╨┤╨╛╤Е╨╛╨┤╨╜╨╛╤Б╤В╤М, ╨┐╨╛╨╖╨▓╨╛╨╗╤П╤П ╨╝╨╡╨╜╨╡╨┤╨╢╨╡╤А╨░╨╝ ╨╗╤Г╤З╤И╨╡ ╨║╨╛╨╜╤В╤А╨╛╨╗╨╕╤А╨╛╨▓╨░╤В╤М ╨╛╨╢╨╕╨┤╨░╨╡╨╝╤Г╤О ╨╜╨╛╤А╨╝╤Г ╤А╨╡╨╕╨╜╨▓╨╡╤Б╤В╨╕╤А╨╛╨▓╨░╨╜╨╕╤П ╨▒╤Г╨┤╤Г╤Й╨╕╤Е ╨┤╨╡╨╜╨╡╨╢╨╜╤Л╤Е ╨┐╨╛╤В╨╛╨║╨╛╨▓. ╨в╨░╨║╨╕╨╝ ╨╛╨▒╤А╨░╨╖╨╛╨╝, ╤Н╤В╨╛ ╨┐╨╛╨╝╨╛╨│╨░╨╡╤В ╨╕╨╖╨▒╨╡╨╢╨░╤В╤М ╨║╨░╨┐╨╕╤В╨░╨╗╤М╨╜╨╛╨│╨╛ ╨▒╤О╨┤╨╢╨╡╤В╨░. ╨Ъ╨░╨┐╨╕╤В╨░╨╗╤М╨╜╤Л╨╣ ╨▒╤О╨┤╨╢╨╡╤В. ╨Ъ╨░╨┐╨╕╤В╨░╨╗╤М╨╜╤Л╨╣ ╨▒╤О╨┤╨╢╨╡╤В тАФ ╤Н╤В╨╛ ╨┐╤А╨╛╤Ж╨╡╤Б╤Б ╨┐╨╗╨░╨╜╨╕╤А╨╛╨▓╨░╨╜╨╕╤П ╨┤╨╛╨╗╨│╨╛╤Б╤А╨╛╤З╨╜╤Л╤Е ╨╕╨╜╨▓╨╡╤Б╤В╨╕╤Ж╨╕╨╣, ╨║╨╛╤В╨╛╤А╤Л╨╣ ╨╛╨┐╤А╨╡╨┤╨╡╨╗╤П╨╡╤В, ╨▒╤Г╨┤╤Г╤В ╨╗╨╕ ╨┐╤А╨╛╨╡╨║╤В╤Л ╨┐╨╗╨╛╨┤╨╛╤В╨▓╨╛╤А╨╜╤Л╨╝╨╕ ╨┤╨╗╤П ╨▒╨╕╨╖╨╜╨╡╤Б╨░ ╨╕ ╨╛╨▒╨╡╤Б╨┐╨╡╤З╨░╤В ╨╗╨╕ ╨╛╨╜╨╕ ╤В╤А╨╡╨▒╤Г╨╡╨╝╤Г╤О ╨┐╤А╨╕╨▒╤Л╨╗╤М ╨▓ ╨▒╤Г╨┤╤Г╤Й╨╕╨╡ ╨│╨╛╨┤╤Л ╨╕╨╗╨╕ ╨╜╨╡╤В. ╨н╤В╨╛ ╨╜╨╡╨╛╨▒╤Е╨╛╨┤╨╕╨╝╨╛, ╨┐╨╛╤В╨╛╨╝╤Г ╤З╤В╨╛ ╨║╨░╨┐╨╕╤В╨░╨╗╤М╨╜╤Л╨╡ ╨╖╨░╤В╤А╨░╤В╤Л ╤В╤А╨╡╨▒╤Г╤О╤В ╨╖╨╜╨░╤З╨╕╤В╨╡╨╗╤М╨╜╤Л╤Е ╤Б╤А╨╡╨┤╤Б╤В╨▓. ╨з╨╕╤В╨░╤В╤М ╨┤╨░╨╗╤М╤И╨╡ ╨╛╤И╨╕╨▒╨╛╨║ ╨╕ ╨╖╨░╨▓╤Л╤И╨╡╨╜╨╜╤Л╤Е ╨╛╨╢╨╕╨┤╨░╨╜╨╕╨╣.
╨Я╤А╨╡╨╢╨┤╨╡ ╤З╨╡╨╝ ╨╝╤Л ╨┐╨╡╤А╨╡╨╣╨┤╨╡╨╝ ╨║ ╤А╨░╤Б╤З╨╡╤В╨░╨╝ ╨╝╨╛╨┤╨╕╤Д╨╕╤Ж╨╕╤А╨╛╨▓╨░╨╜╨╜╨╛╨╣ ╨▓╨╜╤Г╤В╤А╨╡╨╜╨╜╨╡╨╣ ╨╜╨╛╤А╨╝╤Л ╨┤╨╛╤Е╨╛╨┤╨╜╨╛╤Б╤В╨╕, ╨┤╨░╨▓╨░╨╣╤В╨╡ ╤А╨░╤Б╤Б╨╝╨╛╤В╤А╨╕╨╝ ╤В╤А╨╕ ╨┐╨╛╨┤╤Е╨╛╨┤╨░, ╨╕╤Б╨┐╨╛╨╗╤М╨╖╤Г╨╡╨╝╤Л╨╡ ╨▓ ╤А╨░╤Б╤З╨╡╤В╨░╤Е:
- ╨Ф╨╕╤Б╨║╨╛╨╜╤В╨╜╤Л╨╣ ╨┐╨╛╨┤╤Е╨╛╨┤ тАУ ╨Т╤Б╨╡ ╨╛╤В╤А╨╕╤Ж╨░╤В╨╡╨╗╤М╨╜╤Л╨╡ ╨┤╨╡╨╜╨╡╨╢╨╜╤Л╨╡ ╨┐╨╛╤В╨╛╨║╨╕╨Ф╨╡╨╜╨╡╨╢╨╜╤Л╨╡ ╨┐╨╛╤В╨╛╨║╨╕╨Ф╨╡╨╜╨╡╨╢╨╜╤Л╨╡ ╨┐╨╛╤В╨╛╨║╨╕ тАУ ╤Н╤В╨╛ ╤Б╤Г╨╝╨╝╨░ ╨┤╨╡╨╜╨╡╨╢╨╜╤Л╤Е ╤Б╤А╨╡╨┤╤Б╤В╨▓ ╨╕╨╗╨╕ ╨╕╤Е ╤Н╨║╨▓╨╕╨▓╨░╨╗╨╡╨╜╤В╨╛╨▓, ╤Б╨╛╨╖╨┤╨░╨╜╨╜╤Л╤Е ╨╕ ╨┐╨╛╤В╤А╨╡╨▒╨╗╨╡╨╜╨╜╤Л╤Е ╨Ъ╨╛╨╝╨┐╨░╨╜╨╕╨╡╨╣ ╨╖╨░ ╨╛╨┐╤А╨╡╨┤╨╡╨╗╨╡╨╜╨╜╤Л╨╣ ╨┐╨╡╤А╨╕╨╛╨┤. ╨н╤В╨╛ ╨╛╨║╨░╨╖╤Л╨▓╨░╨╡╤В╤Б╤П ╨┐╤А╨╡╨┤╨┐╨╛╤Б╤Л╨╗╨║╨╛╨╣ ╨┤╨╗╤П ╨░╨╜╨░╨╗╨╕╨╖╨░ ╤Б╨╕╨╗╤Л ╨▒╨╕╨╖╨╜╨╡╤Б╨░, ╨┐╤А╨╕╨▒╤Л╨╗╤М╨╜╨╛╤Б╤В╨╕ ╨╕ ╨▓╨╛╨╖╨╝╨╛╨╢╨╜╨╛╤Б╤В╨╡╨╣ ╨┤╨╗╤П ╤Г╨╗╤Г╤З╤И╨╡╨╜╨╕╤П. ╤З╨╕╤В╨░╤В╤М ╨┤╨░╨╗╨╡╨╡ ╨┤╨╕╤Б╨║╨╛╨╜╤В╨╕╤А╤Г╤О╤В╤Б╤П ╨║ ╤В╨╡╨║╤Г╤Й╨╕╨╝ ╨╕╨╜╨▓╨╡╤Б╤В╨╕╤Ж╨╕╤П╨╝ ╨╕ ╨┤╨╛╨▒╨░╨▓╨╗╤П╤О╤В╤Б╤П ╨║ ╨┐╨╡╤А╨▓╨╛╨╜╨░╤З╨░╨╗╤М╨╜╨╛╨╣ ╤Б╤В╨╛╨╕╨╝╨╛╤Б╤В╨╕.
- ╨Я╨╛╨┤╤Е╨╛╨┤ ╨║ ╤А╨╡╨╕╨╜╨▓╨╡╤Б╤В╨╕╤А╨╛╨▓╨░╨╜╨╕╤О тАУ ╨Т╤Б╨╡ ╨┐╨╛╨╗╨╛╨╢╨╕╤В╨╡╨╗╤М╨╜╤Л╨╡ ╨╕ ╨╛╤В╤А╨╕╤Ж╨░╤В╨╡╨╗╤М╨╜╤Л╨╡ ╨┤╨╡╨╜╨╡╨╢╨╜╤Л╨╡ ╨┐╨╛╤В╨╛╨║╨╕ (╨║╤А╨╛╨╝╨╡ ╨┐╨╡╤А╨▓╨╛╨│╨╛) ╤Б╤Г╨╝╨╝╨╕╤А╤Г╤О╤В╤Б╤П ╨┤╨╛ ╨║╨╛╨╜╤Ж╨░ ╤Б╤А╨╛╨║╨░ ╨▓╨╗╨░╨┤╨╡╨╜╨╕╤П ╨┐╤А╨╛╨╡╨║╤В╨╛╨╝, ╨╕ IRR ╤А╨░╤Б╤Б╤З╨╕╤В╤Л╨▓╨░╨╡╤В╤Б╤П ╨┐╨╛ ╤В╨╛╨╝╤Г ╨╢╨╡ ╨┐╤А╨╕╨╜╤Ж╨╕╨┐╤Г.
- ╨Ъ╨╛╨╝╨▒╨╕╨╜╨╕╤А╨╛╨▓╨░╨╜╨╜╤Л╨╣ ╨┐╨╛╨┤╤Е╨╛╨┤ тАУ ╨н╤В╨╛ ╨│╨╕╨▒╤А╨╕╨┤╨╜╤Л╨╣ ╨╝╨╡╤В╨╛╨┤, ╨▓ ╨║╨╛╤В╨╛╤А╨╛╨╝ ╨┤╨▓╨░ ╨▓╤Л╤И╨╡╤Г╨║╨░╨╖╨░╨╜╨╜╤Л╤Е ╨╝╨╡╤В╨╛╨┤╨░ ╨╛╨▒╤К╨╡╨┤╨╕╨╜╤П╤О╤В╤Б╤П ╨╕ ╨┐╤А╨╕╨╝╨╡╨╜╤П╤О╤В╤Б╤П. ╨Я╤А╨╕ ╤В╨░╨║╨╛╨╝ ╨┐╨╛╨┤╤Е╨╛╨┤╨╡ ╨▓╤Б╨╡ ╨╛╤В╤А╨╕╤Ж╨░╤В╨╡╨╗╤М╨╜╤Л╨╡ ╨┤╨╡╨╜╨╡╨╢╨╜╤Л╨╡ ╨┐╨╛╤В╨╛╨║╨╕ ╨┤╨╕╤Б╨║╨╛╨╜╤В╨╕╤А╤Г╤О╤В╤Б╤П ╨╛╨▒╤А╨░╤В╨╜╨╛ ╨║ ╤В╨╡╨║╤Г╤Й╨╕╨╝ ╨╕╨╜╨▓╨╡╤Б╤В╨╕╤Ж╨╕╤П╨╝, ╨░ ╨▓╤Б╨╡ ╨┐╨╛╨╗╨╛╨╢╨╕╤В╨╡╨╗╤М╨╜╤Л╨╡ ╨┤╨╡╨╜╨╡╨╢╨╜╤Л╨╡ ╨┐╨╛╤В╨╛╨║╨╕ ╤Б╤Г╨╝╨╝╨╕╤А╤Г╤О╤В╤Б╤П ╨┤╨╗╤П ╤А╨░╤Б╤З╨╡╤В╨░ ╨▓╨╜╤Г╤В╤А╨╡╨╜╨╜╨╡╨╣ ╨╜╨╛╤А╨╝╤Л ╨┤╨╛╤Е╨╛╨┤╨╜╨╛╤Б╤В╨╕.
╨д╨╛╤А╨╝╤Г╨╗╨░ MIRR
╤Д╨╛╤А╨╝╤Г╨╗╨░ MIRR ╨╕╤Б╨┐╨╛╨╗╤М╨╖╤Г╨╡╨╝╤Л╨╣ ╤Д╨╕╤А╨╝╨░╨╝╨╕ ╨╕ ╨╕╨╜╨▓╨╡╤Б╤В╨╛╤А╨░╨╝╨╕ ╨┐╤А╨╕ ╤Б╨╛╤Б╤В╨░╨▓╨╗╨╡╨╜╨╕╨╕ ╨▒╤О╨┤╨╢╨╡╤В╨░ ╨║╨░╨┐╨╕╤В╨░╨╗╨╛╨▓╨╗╨╛╨╢╨╡╨╜╨╕╨╣, ╨▓╤Л╨│╨╗╤П╨┤╨╕╤В ╤Б╨╗╨╡╨┤╤Г╤О╤Й╨╕╨╝ ╨╛╨▒╤А╨░╨╖╨╛╨╝:
- ╨а╨░╨╜╨╢╨╕╤А╤Г╨╡╤В ╨╕╨╜╨▓╨╡╤Б╤В╨╕╤Ж╨╕╨╕ ╨░╨╜╨░╨╗╨╛╨│╨╕╤З╨╜╨╛╨│╨╛ ╤А╨░╨╖╨╝╨╡╤А╨░ ╨╜╨░ ╨╛╤Б╨╜╨╛╨▓╨╡ ╨▓╨╛╨╖╨╝╨╛╨╢╨╜╨╛╤Б╤В╨╡╨╣, ╨║╨╛╤В╨╛╤А╤Л╨╡ ╨╛╨╜╨╕ ╨┐╤А╨╡╨┤╨╛╤Б╤В╨░╨▓╨╗╤П╤О╤В
- MIRR ╨▓╤Л╤И╨╡ ╨╛╨╢╨╕╨┤╨░╨╡╨╝╨╛╨╣ ╨┤╨╛╤Е╨╛╨┤╨╜╨╛╤Б╤В╨╕ ╨┐╤А╨╡╨┤╨┐╨╛╨╗╨░╨│╨░╨╡╤В ╨┐╤А╨╕╨▓╨╗╨╡╨║╨░╤В╨╡╨╗╤М╨╜╤Г╤О ╨╕╨╜╨▓╨╡╤Б╤В╨╕╤Ж╨╕╤О ╨╕╨╗╨╕ ╨┐╤А╨╛╨╡╨║╤В, ╨╕ ╨╜╨░╨╛╨▒╨╛╤А╨╛╤В.
- ╨Ш╨╖╨╝╨╡╨╜╤П╨╡╤В IRR ╨╕╨╜╨▓╨╡╤Б╤В╨╕╤Ж╨╕╨╕ ╨╕╨╗╨╕ ╨┐╤А╨╛╨╡╨║╤В╨░ ╨╕ ╤А╨░╤Б╤Б╤З╨╕╤В╤Л╨▓╨░╨╡╤В ╤А╨░╨╖╨╜╨╕╤Ж╤Г ╨╝╨╡╨╢╨┤╤Г ╤Б╤В╨░╨▓╨║╨╛╨╣ ╤А╨╡╨╕╨╜╨▓╨╡╤Б╤В╨╕╤А╨╛╨▓╨░╨╜╨╕╤П ╨╕ ╨┤╨╛╤Е╨╛╨┤╨╜╨╛╤Б╤В╤М╤О ╨╕╨╜╨▓╨╡╤Б╤В╨╕╤Ж╨╕╨╣.
- ╨Ш╤Б╨║╨╗╤О╤З╨░╨╡╤В ╨▓╤Б╨╡ ╨┐╤А╨╛╨▒╨╗╨╡╨╝╤Л, ╨▓╨╛╨╖╨╜╨╕╨║╨░╤О╤Й╨╕╨╡ ╨╕╨╖-╨╖╨░ ╨╜╨╡╤Б╨║╨╛╨╗╤М╨║╨╕╤Е IRR ╨╖╨░ ╨╛╨┤╨╕╨╜ ╨╕ ╤В╨╛╤В ╨╢╨╡ ╨┐╨╡╤А╨╕╨╛╨┤.
- ╨Ю╤Б╤В╨░╨▓╨╗╤П╨╡╤В ╨▓╨╛╨╖╨╝╨╛╨╢╨╜╨╛╤Б╤В╤М ╨║╨╛╤А╤А╨╡╨║╤В╨╕╤А╨╛╨▓╨║╨╕ ╨┐╤А╨╡╨┤╨┐╨╛╨╗╨░╨│╨░╨╡╨╝╨╛╨│╨╛ ╤В╨╡╨╝╨┐╨░ ╤А╨╛╤Б╤В╨░ ╤А╨╡╨╕╨╜╨▓╨╡╤Б╤В╨╕╤Ж╨╕╨╣ ╨╜╨░ ╤А╨░╨╖╨╜╤Л╤Е ╤Н╤В╨░╨┐╨░╤Е ╤А╨╡╨░╨╗╨╕╨╖╨░╤Ж╨╕╨╕ ╨┐╤А╨╛╨╡╨║╤В╨░
- ╨Я╤А╨╡╨┤╨╗╨░╨│╨░╨╡╤В ╤Б╨▓╨╛╨▒╨╛╨┤╤Г ╨┤╨╛╨▒╨░╨▓╨╗╤П╤В╤М ╨╗╤О╨▒╤Г╤О ╤Б╤В╨░╨▓╨║╤Г ╤А╨╡╨╕╨╜╨▓╨╡╤Б╤В╨╕╤А╨╛╨▓╨░╨╜╨╕╤П ╨╕ ╨┐╤А╨╛╨╕╨╖╨▓╨╛╨┤╨╕╤В╤М ╤А╨░╤Б╤З╨╡╤В╤Л ╨╜╨░ ╨╡╨╡ ╨╛╤Б╨╜╨╛╨▓╨╡.
╨з╨░╤Б╤В╨╛ ╨╖╨░╨┤╨░╨▓╨░╨╡╨╝╤Л╨╡ ╨▓╨╛╨┐╤А╨╛╤Б╤Л (╨з╨░╤Б╤В╨╛ ╨╖╨░╨┤╨░╨▓╨░╨╡╨╝╤Л╨╡ ╨▓╨╛╨┐╤А╨╛╤Б╤Л)
╨з╤В╨╛ ╤В╨░╨║╨╛╨╡ ╨Ь╨Ш╨а╨а?
MIRR ╨╕╨╗╨╕ ╨╝╨╛╨┤╨╕╤Д╨╕╤Ж╨╕╤А╨╛╨▓╨░╨╜╨╜╨░╤П ╨▓╨╜╤Г╤В╤А╨╡╨╜╨╜╤П╤П ╨╜╨╛╤А╨╝╨░ ╨┤╨╛╤Е╨╛╨┤╨╜╨╛╤Б╤В╨╕ тАФ ╤Н╤В╨╛ ╤Д╨╕╨╜╨░╨╜╤Б╨╛╨▓╤Л╨╣ ╨┐╨╛╨║╨░╨╖╨░╤В╨╡╨╗╤М, ╨╕╤Б╨┐╨╛╨╗╤М╨╖╤Г╨╡╨╝╤Л╨╣ ╨┤╨╗╤П ╤В╨╛╤З╨╜╨╛╨│╨╛ ╨░╨╜╨░╨╗╨╕╨╖╨░ ╨┐╤А╨╕╨▒╤Л╨╗╤М╨╜╨╛╤Б╤В╨╕ ╨╜╨╛╨▓╤Л╤Е ╨╕╨╜╨▓╨╡╤Б╤В╨╕╤Ж╨╕╨╣ ╨╕╨╗╨╕ ╨┐╤А╨╛╨╡╨║╤В╨╛╨▓. ╨г╤З╨╕╤В╤Л╨▓╨░╤П ╤Е╨░╤А╨░╨║╤В╨╡╤А╨╕╤Б╤В╨╕╨║╨╕ ╨╛╤Ж╨╡╨╜╨║╨╕, ╨║╨╛╤В╨╛╤А╤Л╨╡ ╨╛╨╜ ╤А╨░╤Б╤Б╨╝╨░╤В╤А╨╕╨▓╨░╨╡╤В, ╨╛╨╜ ╨┤╨░╨╡╤В ╨┐╤А╨╡╨┤╨┐╤А╨╕╤П╤В╨╕╤П╨╝ ╨╕ ╨╕╨╜╨▓╨╡╤Б╤В╨╛╤А╨░╨╝ ╨▒╨╛╨╗╨╡╨╡ ╤З╨╡╤В╨║╨╛╨╡, ╨╗╤Г╤З╤И╨╡╨╡ ╨╕ ╨▒╨╛╨╗╨╡╨╡ ╤А╨╡╨░╨╗╨╕╤Б╤В╨╕╤З╨╜╨╛╨╡ ╨┐╤А╨╡╨┤╤Б╤В╨░╨▓╨╗╨╡╨╜╨╕╨╡ ╨╛ ╤А╨╡╨╜╤В╨░╨▒╨╡╨╗╤М╨╜╨╛╤Б╤В╨╕ ╨╕╨╜╨▓╨╡╤Б╤В╨╕╤Ж╨╕╨╣. ╨Ю╨╜ ╤А╨░╤Б╤Б╤З╨╕╤В╤Л╨▓╨░╨╡╤В╤Б╤П ╤Б ╤Г╤З╨╡╤В╨╛╨╝ ╨╕╨╜╨▓╨╡╤Б╤В╨╕╤Ж╨╕╨╛╨╜╨╜╤Л╤Е ╨╖╨░╤В╤А╨░╤В ╨╕ ╨┐╤А╨╛╤Ж╨╡╨╜╤В╨╛╨▓, ╨┐╨╛╨╗╤Г╤З╨╡╨╜╨╜╤Л╤Е ╨╛╤В ╨┤╨╡╨╜╨╡╨╢╨╜╤Л╤Е ╤Б╤А╨╡╨┤╤Б╤В╨▓, ╨┐╨╛╨┤╨╗╨╡╨╢╨░╤Й╨╕╤Е ╤А╨╡╨╕╨╜╨▓╨╡╤Б╤В╨╕╤А╨╛╨▓╨░╨╜╨╕╤О.
╨Т ╤З╨╡╨╝ ╤А╨░╨╖╨╜╨╕╤Ж╨░ ╨╝╨╡╨╢╨┤╤Г IRR ╨╕ MIRR?
╨а╨░╤Б╤З╨╡╤В IRR ╨▓╨║╨╗╤О╤З╨░╨╡╤В ╨▓╤Л╤З╨╕╤В╨░╨╜╨╕╨╡ ╤А╨╛╤Б╤В╨░ ╨╕╨╖ ╨┐╨╡╤А╨▓╨╛╨╜╨░╤З╨░╨╗╤М╨╜╤Л╤Е ╨╕╨╜╨▓╨╡╤Б╤В╨╕╤Ж╨╕╨╣. ╨Т ╤А╨╡╨╖╤Г╨╗╤М╤В╨░╤В╨╡ ╨╛╨╜ ╨╛╤Б╨╜╨╛╨▓╨░╨╜ ╨╜╨░ ╨╕╨╜╨▓╨╡╤А╤В╨╕╤А╨╛╨▓╨░╨╜╨╜╨╛╨╣ ╤А╨╡╤Ж╨╡╨┐╤В╤Г╤А╨╡ ╤В╨╡╨╝╨┐╨╛╨▓ ╤А╨╛╤Б╤В╨░. ╨б ╨┤╤А╤Г╨│╨╛╨╣ ╤Б╤В╨╛╤А╨╛╨╜╤Л, MIRR ╨┐╨╛╨╖╨▓╨╛╨╗╤П╨╡╤В ╨║╨╛╨╝╨┐╨░╨╜╨╕╤П╨╝ ╤А╨░╤Б╤Б╤З╨╕╤В╤Л╨▓╨░╤В╤М ╨┤╨╛╤Е╨╛╨┤╨╜╨╛╤Б╤В╤М ╨╜╨░ ╨╛╤Б╨╜╨╛╨▓╨╡ ╨┐╤А╨╡╨┤╨┐╨╛╨╗╨░╨│╨░╨╡╨╝╤Л╤Е ╨┐╨╛╤Н╤В╨░╨┐╨╜╤Л╤Е ╤В╨╡╨║╤Г╤Й╨╕╤Е ╤Б╤В╨░╨▓╨╛╨║ ╤А╨╡╨╕╨╜╨▓╨╡╤Б╤В╨╕╤А╨╛╨▓╨░╨╜╨╕╤П.
╨Я╨╛╤З╨╡╨╝╤Г ╤А╨░╤Б╤Б╤З╨╕╤В╤Л╨▓╨░╨╡╤В╤Б╤П MIRR?
MIRR тАФ ╤Н╤В╨╛ ╨╝╨╛╨┤╨╕╤Д╨╕╤Ж╨╕╤А╨╛╨▓╨░╨╜╨╜╨░╤П ╤Д╨╛╤А╨╝╨░ ╨▓╨╜╤Г╤В╤А╨╡╨╜╨╜╨╡╨╣ ╨╜╨╛╤А╨╝╤Л ╨┤╨╛╤Е╨╛╨┤╨╜╨╛╤Б╤В╨╕ (IRR), ╨║╨╛╤В╨╛╤А╨░╤П ╨╕╨╖╨▓╨╡╤Б╤В╨╜╨░ ╤В╨╡╨╝, ╤З╤В╨╛ ╨╖╨░╨▓╤Л╤И╨░╨╡╤В ╨┐╤А╨╕╨▓╨╗╨╡╨║╨░╤В╨╡╨╗╤М╨╜╨╛╤Б╤В╤М ╨╗╤О╨▒╤Л╤Е ╨╕╨╜╨▓╨╡╤Б╤В╨╕╤Ж╨╕╨╣. IRR ╨▓╨▓╨╛╨┤╨╕╤В ╨╕╨╜╨▓╨╡╤Б╤В╨╛╤А╨╛╨▓ ╨▓ ╨╖╨░╨▒╨╗╤Г╨╢╨┤╨╡╨╜╨╕╨╡, ╨╖╨░╤Б╤В╨░╨▓╨╗╤П╤П ╨╕╤Е ╨╛╨╢╨╕╨┤╨░╤В╤М ╨▒╨╛╨╗╨╡╨╡ ╨▓╤Л╤Б╨╛╨║╨╛╨╣ ╨┤╨╛╤Е╨╛╨┤╨╜╨╛╤Б╤В╨╕. ╨Ь╨╛╨┤╨╕╤Д╨╕╤Ж╨╕╤А╨╛╨▓╨░╨╜╨╜╨░╤П ╨▓╨╜╤Г╤В╤А╨╡╨╜╨╜╤П╤П ╨╜╨╛╤А╨╝╨░ ╨┤╨╛╤Е╨╛╨┤╨╜╨╛╤Б╤В╨╕ ╨┐╤А╨╡╨┤╨╗╨░╨│╨░╨╡╤В ╤В╨╛╤З╨╜╤Г╤О ╨╕ ╨╜╨░╨┤╨╡╨╢╨╜╤Г╤О ╨╛╤Ж╨╡╨╜╨║╤Г ╤А╨╡╨╜╤В╨░╨▒╨╡╨╗╤М╨╜╨╛╤Б╤В╨╕ ╨╕╨╜╨▓╨╡╤Б╤В╨╕╤Ж╨╕╨╣, ╨╜╨░ ╨║╨╛╤В╨╛╤А╤Г╤О ╨╝╨╛╨│╤Г╤В ╤А╨░╤Б╤Б╤З╨╕╤В╤Л╨▓╨░╤В╤М ╨╕╨╜╨▓╨╡╤Б╤В╨╛╤А╤Л.
╨а╨╡╨║╨╛╨╝╨╡╨╜╨┤╤Г╨╡╨╝╤Л╨╡ ╤Б╤В╨░╤В╤М╨╕
╨н╤В╨╛ ╤А╤Г╨║╨╛╨▓╨╛╨┤╤Б╤В╨▓╨╛ ╨┐╨╛ MIRR (╨╝╨╛╨┤╨╕╤Д╨╕╤Ж╨╕╤А╨╛╨▓╨░╨╜╨╜╨╛╨╣ ╨▓╨╜╤Г╤В╤А╨╡╨╜╨╜╨╡╨╣ ╨╜╨╛╤А╨╝╨╡ ╨┤╨╛╤Е╨╛╨┤╨╜╨╛╤Б╤В╨╕) ╨╕ ╨╡╨╡ ╨╛╨┐╤А╨╡╨┤╨╡╨╗╨╡╨╜╨╕╤О. ╨Ч╨┤╨╡╤Б╤М ╨╝╤Л ╨╛╨▒╤К╤П╤Б╨╜╨╕╨╝, ╨║╨░╨║ ╤А╨░╤Б╤Б╤З╨╕╤В╨░╤В╤М MIRR, ╨░ ╤В╨░╨║╨╢╨╡ ╨╡╨│╨╛ ╤Д╨╛╤А╨╝╤Г╨╗╤Г ╨╕ ╨┐╤А╨╕╨╝╨╡╤А╤Л. ╨Т╤Л ╨╝╨╛╨╢╨╡╤В╨╡ ╤Г╨╖╨╜╨░╤В╤М ╨▒╨╛╨╗╤М╤И╨╡ ╨╛ ╨╜╨░╤И╨╕╤Е ╤Б╤В╨░╤В╤М╤П╤Е ╨╜╨╕╨╢╨╡ ╨┐╨╛ ╨▒╤Г╤Е╨│╨░╨╗╤В╨╡╤А╤Б╨║╨╛╨╝╤Г ╤Г╤З╨╡╤В╤Г тАУ
- IRR ╨┐╤А╨╛╤В╨╕╨▓ XIRR
- ╨з╨╕╤Б╤В╨░╤П ╨┐╤А╨╕╨▓╨╡╨┤╨╡╨╜╨╜╨░╤П ╤Б╤В╨╛╨╕╨╝╨╛╤Б╤В╤М (NPV)
- NPV ╨┐╤А╨╛╤В╨╕╨▓ XNPV
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