福利の役割

最近先物と派生証券の値計算に関してを読んで利率をたくさんな計算式に見ています。
It seems that the use of continuously compounded interest is critically important to valuation of futures, options, and other instruments.
One area where compound interest appears is in the put-call parity equation for options:
C-P = pow(e,(-r)(T-t))K r is the continuously compounded risk-free rate of return.
A second formula where r turns up is in the valuation of forward contracts on a continuous dividend paying stock index:
C = pow(e,(-q)(T-t))S-pow(e,(-r)(T-t))F q here is the dividend rate (reinvested)
The use of Euler's number (e) here is interesting. Basically, it is the result of Bernoulli trials:
lim pow(1+(1/n)),n) In this case, the interest rate is 1, or 100%
n->inf
So 1 dollar at 100% annual interest compounded n times per year will return e dollars after 1 year.
For a rate of r (i.e. 100r percent), we obtain e^r.