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单词 continuous compounding
释义
continuous compounding

Economics
  • The charging of interest or discounting of future receipts on a continuous basis. At a rate of 100r per cent, added annually, a loan will have grown to (1 + r)T times its original value after T years. If interest is added v times a year, it will grow to (1 + r/v)Tv, which is greater the larger is v. As v tends to infinity, (1 + r/v)Tv tends to the limit erT, where e is the exponential constant. Similarly, if a future receipt due in T years is discounted to find its present value at a continuous rate r, its present value with continuous discounting is e-rT times what is due at the end of the T years.


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