but I think it's motivational, and so I said, are you sure that J.R. Hicks invented the term "forward rate"?
但我觉得这很有趣,我问他,你能肯定,J·R·希克斯是"远期利率"的提出者吗
If you do it in monthly terms your interest rate is r/12 because there are twelve months in a year.
如果是每月还款那么月利率是r/12,因为一年有12个月
If they quote the rate on the mortgage, call that r Traditionally you would be paying monthly.
如果给定贷款利率,记为r,通常你是每月还款
What we do is we take the interest rate, which I'll call r, and plug it into a formula, which I didn't actually do the arithmetic to their number.
我们只需将利率r,代入等式中,虽然我没有代入数字验证过...
If you had a perpetuity, which paid C/2 forever, you already know from the perpetuity formula that the value of that would be C/2 divided by r/2 if r/2 is the discount rate.
如果你有一只永续债券,每半年付息C/2,没有到期日,从永续债券的公式可以知道,债券价格等于C/2除以r/2,r/2为贴现率
g has to be less than r for this to make sense because if g--if it's growing faster than the rate of interest, then this infinite series will not converge and the value would be infinite.
必须小于r才行得通,因为如果g比利率涨的还快,那么这个无穷序列就不会收敛,价值就是无穷了
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