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Infinite · 2020年02月20日

问一道题:NO.PZ2020021204000016

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?

选项:

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.

老师,请问求coupon rate =6.46% 这第一步计算机怎么按? 另外d是怎么算出来的呢?

1 个答案

品职答疑小助手雍 · 2020年02月20日

同学你好,这个c就是一元一次方程,一个一个算系数再加和,用常数项除以系数就行了。

那个d是本金对应的折现率,也就是1/(1+6.5%/2)^4

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