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This is the present value of $1 in one time period, which I'm taking to be a year.
这就是一美元在一段时期内的现值,我只是将一美元持有一年
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So, they are selling widgets or whatever and making money-- the value of the company is the present value of that cash flow.
不管通过什么方式赚钱,即便卖小商品...,公司的价值等于现金流的现值
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In fact though, the children who you reward later on think that this activity has less value and they are less likely to do it when there's no reward present.
但事实上，拿到奖励的孩子会想,这个活动的价值变低了，如果没有奖励,他们就不太可能会再做。
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Then you want to add the present value of the principal and that's the formula.
最后还要加上债券面值的现值,这就是债券定价公式
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Then the present value of $1-- The present PDV or PV of $1 = $1/.
一美元的现值...,一美元的现期贴现值或者现值就等于1/
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What is a present value?
现值是什么
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The present value of this--suppose it pays-- let's say it pays c pounds each year, so it would be c times this.
它的现值就是...假设它需要支付,我们假设它每年支付c英镑,然后这里也乘以c
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It would be c times 3 in the third year, etc., Then the present value is equal to c/-- that's the formula for the value of a growing console.
在第三年它就是三倍的的三次方,现值就相当于c/,这就是上涨债务价值的公式
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The present value is equal to-- remember it starts one year from now under assumption-- we could do it differently but I'm assuming one year now.
则现值就等于,记住它从现在开始起一年一年的支付,只是个假设,我们能做不同的假设,但现在我就假设成一年
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That's the formula for the present value of a consol.
它就是永续公债里现值的计算公式
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What is the present value of an annuity?
那么年金的现值又是什么呢
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The price is just the present value of that stream, discounted at the interest rate.
债券的价格就是这些现金流,以利率r为贴现率算出的贴现值
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Generally, if it pays c dollars for every period, the present value is c/r.
推广开来,如果在每段时期内支付c美元,那么它的现值就是c/r
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