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咖啡巧克力 · 2024年09月28日

APR

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NO.PZ202208260100000406

问题如下:

Baywhite observes that one-month MRR is 1.2% and two-month MRR is 1.5%.Which of the following rates is closest to the forward rate that Baywhite wouldexpect on 1m1m forward rate agreement?

选项:

A.1.80%

B.1.35%

C.

3.55%

解释:

A is correct. The APR of the monthly compounded two-month rate is 1.499%. Dividing (1.01499/12)2 by (1.012/12) equals 1.001499. Subtracting 1 and then multiplying by 12 gives 1.7982%. Thus, the approximate forward rate is 1.80%. B is incorrect because this is a simple average of the two spot rates. C is incorrect because this result is derived from simply dividing (1.01499/12) by (1.012/12), then subtracting 1, and then multiplying by 12.

请问,解析中的APR(1.499%)是怎样求得的?

1 个答案

李坏_品职助教 · 2024年09月28日

嗨,从没放弃的小努力你好:


two-month MRR is 1.5% ,而APR指的是按月复利的利率,那么APR是一年复利12次,1.5%则是一年复利6次:


(1+APR/12)^12 = (1+ 1.5% / 6)^6 , 所以APR = 1.499%

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