岳同学2020-02-03 11:40:22
請問原版書中課後題 Q25: Determine the most appropriate immunization portfolio in Exhibit 2. Justify your decision. 答案是 Portfolio 2 1. Money Duration: Money durations of all three possible immunizing portfolios match or closely match the money duration of the outflow portfolio. 2. Convexity: Given that the money duration requirement is met by all three possible immunizing portfolios, the portfolio with the lowest convexity that is above the outflow portfolio’s convexity of 135.142 should be selected. 但是書上說 The conditions to immunize multiple liabilities are that (1) the market value of assets is greater than or equal to the market value of the liabilities, (2) the asset basis point value (BPV) equals the liability BPV, and (3) the dispersion of cash flows and the convexity of assets are greater than those of the liabilities. Portfolio 2 的 BPV是小於 Liability的。另外,上課的時候有說要選convexity大的。滿足這兩項的應該是Portfolio 1. 請問為什麼答案是Portfolio2?
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Dean2020-02-03 15:31:21
同学你好,这个地方虽然组合2的MD是小的,但是总体来说是很接近的,相差不是很多,如果用百分形式表示,是低了0.000097886%,所以这个差别是可以忽略不计的..。如果差很多的话是不能选这个的。
这道题的关键是在MD比较接近的前提下,通过convexity 来进行判断。
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但是convexity 在上課的時候說越大越好。而且在問題中也沒有提到要 minimize structure risk。但是為什麼解答要我們 minimize structure risk?
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同学你好,这里是一个默认的前提..。在LDI下,我们是要找到一个合适的资产去匹配相关的负债。在追求收益的前提下,convexity越大越好。在这种模式下,我们不是追求什么收益而是希望尽量能使资产端所产生的现金流,能够匹配负债端。要尽可能降低这种风险,降低这种风险就要尽可能降低现金流的离散程度,因而convexity越低越好。
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請問是只有這一題還是所有的 multiple liabilities 題目的解題思路都是這樣?
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因為老師上課好像沒有提過這個條件 The dispersion, as measured by convexity, of the immunizing portfolio should be as low as possible subject to being greater than or equal to the dispersion of the outflow portfolio.
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同学你好,对于所有的multiple liabilities 都是这种思路,但是对multiple时有个前提假设,资产的凸性起码要大于负债的凸性。有些比较细节的问题会在强化班补充的。


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