作者vu3cj0su3 ( )
看板trans_math
标题[积分?] 一题连续复利题目
时间Mon Mar 12 22:50:46 2007
Suppose that a company expects its annual profits t years from now
to be f(t) dollars and that interest is considerd to be compounded
continuously at an annual rate r.Prove that the present value of all
∞
future profits can be shown to be ∫ e^(-rt)*f(t) dt
0
毫无头绪的一题 麻烦大家啦
感谢~
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※ 发信站: 批踢踢实业坊(ptt.cc)
◆ From: 59.112.211.42
1F：推 GayerDior:∞ 61.229.151.94 03/13 00:37
2F：→ GayerDior:∫ e^(-rt)*f(t) dt = L[f(t)] 61.229.151.94 03/13 00:38
3F：→ GayerDior:0 61.229.151.94 03/13 00:39
4F：推 vu3cj0su3:原来是鼎鼎大名的Laplace transform 59.112.211.42 03/13 01:52
5F：→ vu3cj0su3:可是我们现在还在念初微 =.= 囧 59.112.211.42 03/13 01:52