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lllggg · 2025年06月27日

这个modified duration结果后为什么要加一个单位years??

NO.PZ2019100901000018

问题如下:

Meura Bancorp, a US bank, has an equity capital ratio for financial assets of 12%. Meura’s strategic plans include the incorporation of additional debt in order to leverage earnings since the current capital structure is relatively conservative. The bank plans to restructure the balance sheet so that the equity capitalization ratio drops to 10% and the modified duration of liabilities is 1.90. The bank also plans to rebalance its investment portfolio to achieve a modified duration of assets of 2.10. Given small changes in interest rates, the yield on liabilities is expected to move by 65 bps for every 100 bps of yield change in the asset portfolio.

Calculate the modified duration of the bank’s equity capital after restructuring. Show your calculations.

选项:

解释:

The modified duration of the bank’s equity capital after restructuring is 9.89 years:


Modified duration不是利率变动对价格的影响吗?又不是Macaulay,单位不应该是years啊,并且平时计算modified duration就是直接写数字的,这里的答案为何要加years?

1 个答案

Lucky_品职助教 · 2025年06月30日

嗨,从没放弃的小努力你好:


Modified duration数学上衡量价格对利率的敏感性,单位本是 “1 / 利率”,但实务中常和麦考利久期(单位年)混用,题目答案加 “years” 是习惯简化,用 “年” 直观表示利率风险对权益的影响,计算时按公式得出数值后沿用了实务表述。

我们在考试的,是不需要写这个单位years的

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