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Sam · 2022年10月27日

对statement 1 和 statement 2的疑惑

NO.PZ2018120301000025

问题如下:

Leah informs Molly that DFC has a single $500 million liability due in nine years, and she wants SD&R to construct a bond portfolio that earns a rate of return sufficient to pay off the obligation. Leah expresses concern about the risks associated with an immunization strategy for this obligation. In response, Molly makes the following statements about liability-driven investing:

  • Statement 1: Although the amount and date of SD&R’s liability is known with certainty, measurement errors associated with key parameters relative to interest rate changes may adversely affect the bond portfolios.
  • Statement 2: A cash flow matching strategy will mitigate the risk from non-parallel shifts in the yield curve.
Which of Molly’s statements about liability-driven investing is (are) correct?

选项:

A.

Statement 1 only.

B.

Statement 2 only.

C.

Both Statement 1 and Statement 2.

解释:

Correct Answer: C

C is correct. Molly is correct that measurement error can arise even in immunization strategies for Type 1 cash flows, which have set amounts and set dates. Also, a parallel shift in yield curves is a sufficient but not a necessary condition to achieve the desired outcome. Non-parallel shifts as well as twists in the yield curve can change the cash flow yield on the immunizing portfolio; however, minimizing the dispersion of cash flows in the asset portfolio mitigates this risk. As a result, both statements are correct.

老师您好,statement 1对应的知识点在哪里;

statement 2 感觉有问题,cashflow duration 仍然是会有reinvestment risks的,如何mitigate;另外,消除risks from unparalleled yield change,方法就是convexity最小化,或者构建bullet portfolio,但cashflow duration一般都是coupon bearing 的bonds,如何convexity最小化?

4 个答案

pzqa015 · 2022年11月12日

嗨,从没放弃的小努力你好:


133页前后

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努力的时光都是限量版,加油!

pzqa015 · 2022年10月29日

嗨,从没放弃的小努力你好:


statement 1对应的知识点

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就算太阳没有迎着我们而来,我们正在朝着它而去,加油!

sᴄᴀʀʟᴇᴛᴛ. · 2022年11月10日

请问这是讲义第几页

pzqa015 · 2022年10月29日

嗨,爱思考的PZer你好:


你理解错了,cash flow matching很重要的一点是,cover liability来源于债券到期本金和coupon,而不是债券的卖出价格(这是duration matching的特点),所以,不存在price risk与reinvestment risk。这一点你可以看一下上课老师讲到的cash flow mtaching那道例题,资产端债券是从后向前推导的。

举个简单的例子,现在收到coupon,半年后有负债到期,那么如果是duration matching,coupon会在投资半年,半年后coupon的FV与负债相等。而对于cash flow matching,这部分coupon会放在账上,等半年以后来cover负债,也就是说coupon现在的价值就等于半年后负债的价值,这也是为什么cash flow matching的成本高于duration matching的原因,它对资金的使用效率要低于duration matching,相应的好处是风险小,不用担心半年后coupon的FV无法cover 负债的问题。

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加油吧,让我们一起遇见更好的自己!

pzqa015 · 2022年10月28日

嗨,从没放弃的小努力你好:


cash flow matching,不存在提前卖出和现金流在投资的问题,比如,未来负债是3年到期,那么现在买入的债券,刚好在第三年末到期,收到的现金流(本金+利息)要完全cover 负债流出;只有duration matching涉及到债券提前卖出和期间现金流再投资的问题。statement 2的表述是完全正确的。

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虽然现在很辛苦,但努力过的感觉真的很好,加油!

Sam · 2022年10月29日

老师您好,我觉得cash flow matching 还是会有reinvestment risk的,因为有时候maturity很难matching到 liability payout的时间。通常match 不了,就只能是maturity早于payout时间,早到期就要reinvest,虽然required return 不大(何老师说是保险一点,不敢激进),但也会存在reinvestment 的风险。 另外老师,我还是想知道statement 1对应的知识点在哪里

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NO.PZ2018120301000025 问题如下 Leahinforms Molly thC ha single $500 million liability e in nineyears, anshe wants SR to construa bonportfolio thearns a rateof return sufficient to poff the obligation. Leexpresses concern aboutthe risks associatewith immunization strategy for this obligation. Inresponse, Molly makes the following statements about liability-iveninvesting:Statement 1: Although the amount ante of SR’s liability is known with certainty, measurement errors associatewith key parameters relative to interest rate changes maersely affethe bonportfolios.Statement 2: A cash flow matching strategy will mitigate the risk from non-parallel shifts in the yielcurve. Whichof Molly’s statements about liability-iven investing is (are) correct? A.Statement 1 only. B.Statement 2 only. C.Both Statement 1 anStatement 2. CorreAnswer: is correct. Molly is correthmeasurement error carise even in immunization strategies for Type 1 cash flows, whihave set amounts anset tes. Also, a parallel shift in yielcurves is a sufficient but not a necessary contion to achieve the sireoutcome. Non-parallel shifts well twists in the yielcurve cchange the cash flow yielon the immunizing portfolio; however, minimizing the spersion of cash flows in the asset portfolio mitigates this risk. a result, both statements are correct. 然后一般在计算资产的Macaulration时,是对组合内各成份债券的Macaulration进行了简单的加权平均。这种加权平均算出来的数据,并不准确。因为会产生衡量误差(Measurement errors),而该指标又是匹配时需要满足的条件,所以这个误差会影响到匹配的效果。-------上面摘自最新那个问题回答。我的问题是这种计算属于measurement error还是mol risk/error。还是都属于?或者说measurement error和mol risk/error是否有被包含的关系呢?

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