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𝒜𝒩𝒥𝒜 安雅🎃 · 2023年08月22日

accrued interest是不是算错了?

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.

解析给的accrued interest是NP*6%*0.25,可是表格是说半年付息一次,那应该是NP*6%*0.5*0.25吧?

1 个答案

李坏_品职助教 · 2023年08月22日

嗨,从没放弃的小努力你好:


coupon给出的数字意思是:年化利率是6%,semi-annual是半年支付一次利息。

在签订repo协议的期初,距离债券上次付息刚好过去3个月,距离下一次支付利息还有3个月,所以accrued interest应该是年化利息率6% * 3/12 * NP。


注意:accrued interest = 债券面值 * 年化利息率 * 已计息月份数/12

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