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matthew6448 · 2020年02月26日

问一道题:NO.PZ2019100901000020

问题如下:

MegaWorld Bancorp has an equity capital ratio for financial assets of 9%. The modified duration of its assets is 2.0 and of its liabilities is 1.5. Over small changes, the yield on liabilities is expected to move by 85 bps for every 100 bps of yield change in its asset portfolio.
Compute the modified duration of the bank’s equity capital.

选项:

解释:

Using Equation 8, A ÷ E = 1/0.09 = 11.11; (A ÷ E) –1 = 10.11; D*A = 2.0; DL* =
1.5; and Δ
i ÷ Δy = 0.85.
Therefore, the modified duration of shareholders’ capital is:

DE* = (11.11 × 2) – (10.11 × 1.50) × 0.85 = 9.33

这一题的考点在哪里

1 个答案

发亮_品职助教 · 2020年02月27日

嗨,爱思考的PZer你好:


这道题是已知银行的杠杆率(equity capital ratio for financial assets of 9%)、资产的Duration、负债的Duration、负债利率变动对资产利率变动的敏感度(the yield on liabilities is expected to move by 85 bps for every 100 bps of yield change in its asset portfolio),然后让求Equity的Duration。

直接带公式即可,参考讲义169页:


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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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