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Crastrom · 2024年05月10日

repo是不是只有3个月?

NO.PZ2022071101000012

问题如下:

A bank buys a bond on its coupon payment date. Three months later, in order to generate immediate liquidity, the bank decides to repo the bond. Details of the bond and repo transaction are as follows:

If the repo contract expires 6 months from now, what is the bank’s expected cash outflow at the end of the repo transaction?

选项:

A.

USD 89,046

B.

USD 90,423

C.

USD 93,177

D.

USD 100,470

解释:

中文解析:

B是正确的。repo初期的现金流: (100,000)*(97%+6%*0.25)*(1-10%) = 88,650; repo期末的现金流: 88,650*(1+4%*0.5)=90,423。

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B is correct. Cash inflow at beginning of repo: (100,000)*(97%+6%*0.25)*(1-10%) = 88,650; Cash outflow at end of repo: 88,650*(1+4%*0.5)=90,423

A is incorrect. Left out the accrued interest of 6%*0.25 in the correct equation for cash inflow.

C is incorrect. Used 1 instead of 97% for price in the correct equation for cash inflow.

D is incorrect. eft out haircut of 10% in the correct equation for cash inflow.

repo是3个月后做的,总共6个月,那计算repo rate的时长为啥是0.5?

1 个答案

李坏_品职助教 · 2024年05月10日

嗨,努力学习的PZer你好:


repo本身的期限是0.5啊,所以期末的现金流要用期初的现金流 * (1+repo 利率*0.5)。相当于先利用repo借入一笔钱,等repo到期了要还本付息,因为repo期限是0.5,所以要还的利息就是按0.5算的。


这道题的时间轴是:买入bond恰好是在付息日,过了3个月后签定了repo,又过了6个月repo到期( repo contract expires 6 months from now,这句话就是说明repo本身的期限是0.5)。



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虽然现在很辛苦,但努力过的感觉真的很好,加油!