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little_back · 2020年10月04日

问一道题:NO.PZ2018123101000037

问题如下:

Tyo says: Spot rates are determined through the process of bootstrapping. It entails backward substitution using par yields to solve for zero-coupon rates one by one, in order from latest to earliest maturities.

Did Tyo accurately describe the process of bootstrapping?

选项:

A.

Yes

B.

No, with respect to par yields

C.

No, with respect to backward substitution

解释:

C is correct.

考点:考察利用Par rate curve计算Spot rate

解析:Tyo说到在用Par yield计算Spot rate时,使用Bootstrapping方法,这点是正确的。但说到, Bootstrapping的方法是Backward substitution的,即由长期 (latest maturity)向早期(Earliest maturity)推导计算出来Spot curve,这点是错误的。

Par yield计算Spot rate应该是Forward substitution,即由早期(Earliest maturity)的利率向长期(latest maturity)的利率推导。

请问老师:“ It entails backward substitution using par yields to solve for zero-coupon rates one by one ”这句话,根据par rate 求spot rate 应该是付息债券,即par bond呀,不应该是zero coupon bond呀?请老师解释一下,谢谢!

1 个答案

WallE_品职答疑助手 · 2020年10月04日

同学您好,

The spot rate is calculated by finding the discount rate that makes the present value (PV) of a zero-coupon bond equal to its price.

这才是spot rate的含义哈。