Re: [問題]關於財務數學
看板CFAiafeFSA (精算師/基金經理人/銀行家)作者moonshade (一隻歐拉貓)時間19年前 (2007/01/04 15:12)推噓0(0推 0噓 0→)留言0則, 0人參與討論串1/1
※ 引述《nomindman ()》之銘言:
: (t2-t1) (t2-t1) t2 _ t2-t
: F(t2) = F(t1) *(1+i) + Σct* (1+i) + ∫ c(t)*(1+i)dt
: t1
: ct present the net amount received (+) or paid out (-) at time t ,
: _
: c(t) is the net continuous rate of payment (received or paid out) at time t
: Suppose that a fund of money is observed over time, and the amount in the
: fund at time t is F(t). The fund earns interest and also receives and/or
: makes payments from time to time. If we wish to find the average annualized
: yield earned by the fund from time t1 to time t2 measured in years, we can
: formulate the yield as the internal rate of return i
: 請問這一段的意義以及數學式的意義是什麼欸.......
: 請好心的大大指點迷津.... <(_ _)> .....感恩
把這個式子分三項,F(t2) = f1 + f2 + f3
f1 是第一期的錢折現到t2
f2 是集合t1所有的ct然後折現到t2
_
f3 是把c(t)這個payment ( payment rate over time )折現,因為不同時間
的payment不同,所以model單位時間內的收入為 c(t)R^(t2-t1) dt,
以t2為觀點所以要折現到t2
這個式子只要學過微積分應該就可以看懂吧...
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◆ From: 140.112.48.60
※ 編輯: moonshade 來自: 140.112.48.60 (01/04 15:19)
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