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willhunting · 2023年05月24日

这道题用排除法做得出来,老师能不能写出精简版的答题模板供参考?答案虽然答得很全面,但考试这样写太耗时了,应该存在效率更高的答案

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NO.PZ201812020100001201

问题如下:

Recommend the portfolio in Exhibit 1 that would best achieve the immunization. Justify your response


选项:

解释:

Answer

Justification:

Portfolio A is the most appropriate portfolio because it is the only one that satisfies the three criteria for immunizing a single future outflow (liability), given that the cash flow yields are sufficiently close in value:

1. Market Value: Portfolio A’s initial market value of $235,727 exceeds the outflow’s present value of $234,535. Portfolio B is not appropriate because its market value of $233,428 is less than the present value of the future outflow of $234,535. A bond portfolio structured to immunize a single liability must have an initial market value that equals or exceeds the present value of the liability.

2. Macaulay Duration: Portfolio A’s Macaulay duration of 9.998 closely matches the 10-year horizon of the outflow. Portfolio C is not appropriate because its Macaulay duration of 9.503 is furthest away from the investment horizon of 10 years.

3. Convexity: Although Portfolio C has the lowest convexity at 108.091, its Macaulay duration does not closely match the outflow amount. Of the remaining two portfolios, Portfolio A has the lower convexity at 119.055; this lower convexity will minimize structural risk. Default risk (credit risk) is not considered because the portfolios consist of government bonds that presumably have default probabilities approaching zero.

Default risk (credit risk) is not considered because the portfolios consist of government bonds that presumably have default probabilities approaching zero.

这道题用排除法做得出来,老师能不能写出精简版的答题模板供参考?答案虽然答得很全面,但考试这样写太耗时了,应该存在效率更高的答案

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pzqa015 · 2023年05月25日

嗨,努力学习的PZer你好:


portfolio A is best to achieve the immunization.

three requirements to make immunization are:

1、the present value of portfolio should exceed or equal to the present value of liability

2、the Macaulay duration should be equal to the investment horizon

3、minimize the convexity of portfolio

portfolio B is not suitable ,As its present value 233428 is smaller than the present value of liability 234535

portfolio C is not suitable ,As its Macaulay duration is not equal to 10

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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!

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