“compound interest”的概念、定义、翻译、参考文献-科学参考

compound interest

Mathematics

Suppose that an amount of money P is invested, attracting interest at i per cent annually. After one year, the amount becomes P(1 + i/100). So, adding on i per cent is equivalent to multiplying by 1 + i/100. When interest is compounded annually, all the previous year’s amount is used to calculate the interest due in the following year. So, after n years, the amount becomes

$P {(1 + \frac{i}{100})}^{n} .$

This is the formula for compound interest. This amount increases exponentially in contrast to the linear growth obtained with simple interest.
http://www.moneychimp.com/calculator/compound_interest_calculator.htm A compound interest calculator.

Economics

The interest on a deposit or loan that itself earns interest in later periods, i.e. the interest due each period is added to the amount outstanding. Thus, at an interest rate of 100r per cent per period, after 1 period an original deposit of A amounts to A(1 + r); after 2 periods to A(1 + r)²; and after N periods to A(1 + r)^N. These successive values form a geometric progression with common ratio (1 + r). With continuously compounded interest the amount of deposit is an exponential function of time, Ae^rt.

单词	compound interest
释义	compound interest Mathematics Suppose that an amount of money P is invested, attracting interest at i per cent annually. After one year, the amount becomes P(1 + i/100). So, adding on i per cent is equivalent to multiplying by 1 + i/100. When interest is compounded annually, all the previous year’s amount is used to calculate the interest due in the following year. So, after n years, the amount becomes $P {(1 + \frac{i}{100})}^{n} .$ This is the formula for compound interest. This amount increases exponentially in contrast to the linear growth obtained with simple interest. http://www.moneychimp.com/calculator/compound_interest_calculator.htm A compound interest calculator. Economics The interest on a deposit or loan that itself earns interest in later periods, i.e. the interest due each period is added to the amount outstanding. Thus, at an interest rate of 100r per cent per period, after 1 period an original deposit of A amounts to A(1 + r); after 2 periods to A(1 + r)²; and after N periods to A(1 + r)^N. These successive values form a geometric progression with common ratio (1 + r). With continuously compounded interest the amount of deposit is an exponential function of time, Ae^rt.
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