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saturn44 · 2022年04月28日

官网习题36

这道题不理解:

为什么Type1可以用 duration match-BPV ,其他type不可以用BPV吗?

36. Who is least likely correct with regard to the measures that clients in Exhibit 1 use when immunizing their liabilities?

A.   Shrewsbury regarding Type I investors

B.   Silver regarding Type I, II, III, and IV investors

C.   Shrewsbury regarding Type II, III, and IV investors

 

Silver tells Shrewsbury, “Managing fixed-income portfolios to meet obligations requires an understanding of the nature of the liabilities. Clients with liability types such as those listed in Exhibit 1 use yield statistics, such as Macaulay, modified duration, money durations, and the present value of a basis point (PVBP), when implementing immunization strategies.”


Shrewsbury responds, “Only Type I clients can measure the interest rate sensitivity of liabilities using yield statistics. Those with Type II, III, and IV liabilities must use a curve duration statistic, such as effective duration, to estimate interest rate sensitivity.”


B is correct. Silver is correct in that Type I clients can use a yield statistic for immunizing their liabilities, but he is incorrect in stating that Type II, III, and IV investors can use the same approach. An advantage to knowing the size and timing of cash flows is that yield duration statistics—that is, Macaulay duration, modified duration, money duration, and PVBP—can be used to measure the interest rate sensitivity of the liabilities. With Type II, III, and IV liabilities, a curve duration statistic known as effective duration is needed to estimate interest rate sensitivity. This statistic is calculated using a model for the uncertain amount and/or timing of the cash flows and an initial assumption about the yield curve.

1 个答案

pzqa015 · 2022年04月30日

嗨,爱思考的PZer你好:


是的,

计算BPV首先要计算modified duration,计算modified duration,首先要计算mac duration,根据mac duration的公式,只有现金流发生的时间和金额确定,才能计算出Mac D,二者有任何一个不确定,都无法计算mac D。

所以,只有type I可以计算出mac D,modified D,BPV,其余三类负债只能计算effective duration。

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虽然现在很辛苦,但努力过的感觉真的很好,加油!

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