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一小溪 · 2020年09月10日

问一道题:NO.PZ2020021204000016 [ FRM I ]

问题如下:

The six-month, 12-month, 18-month, and 24-month zero rates are 5%, 5.5%, 6%, and 6.5% (all measured with semi-annual compounding) respectively. What is the two-year par yield for a bond paying coupons every six months?

解释:

The par yield is the coupon rate c satisfying

c/21+0.05/2+c/2(1+0.055/2)2+c/2(1+0.06/2)3+100+c/2(1+0.065/2)4=100\frac{c/2}{1+0.05/2}+\frac{c/2}{{(1+0.055/2)}^2}+\frac{c/2}{{(1+0.06/2)}^3}+\frac{100+c/2}{{(1+0.065/2)}^4}=100

It is 6.46%. Alternatively, we can use Equation (cm)A  +  100d  =  100\left(\frac cm\right)A\;+\;100d\;=\;100. In

this case m= 2, d= 0.8799, and A= 3.7179.

请问题干里()内的话是什么意思,就是spot rate都是半年复利一次计算出来的嘛?这样的话为啥还要除以2
1 个答案

品职答疑小助手雍 · 2020年09月11日

嗨,爱思考的PZer你好:


指的是他们都是半年付息一次的年化利率。一般都这么说的~


-------------------------------
虽然现在很辛苦,但努力过的感觉真的很好,加油!


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