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葛文君 · 2020年09月16日

问一道题:NO.PZ2020011303000037 [ FRM I ]

问题如下:

In a dollar roll a USD 10,000,000 30-year 6% pool is sold for 103.25 and bought for 102.80. The settlement is on the fourteenth of the month for both months. The interest is paid at the end of the month. The proceeds of the sale can be invested at 4% per year (compounded monthly), and interest and principal payments on the pool during the month of the roll would amount to 0.4% of the par value. What is the value of the roll?

解释:

USD selling price is 10,325,000 + 10,000,000 × (14/30) × (0.06/12) = 10,348,333.

USD buying price is 10,280,000 + 10,000,000 × (14/30) × (0.06/12) = 10,303,333.

Investment of proceeds yields in USD 10,348,333 × 0.04/12 = 34,494.

Payments on the pool would be USD 40,000.

The value of the roll (USD) is

10,348,333 10,303,333 + 34,494 40,000 = 39,494

老师,您好!不太理解。答案中,10325000是价格103.25,乘上份数10000000/100得出。那10000000*(14/30)*(0.06/12)是什么意思?为什么使用的是10000000?
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已采纳答案

品职答疑小助手雍 · 2020年09月16日

嗨,努力学习的PZer你好:


因为积累的利息是按本金算的,不是按价格算的,14天就攒了这么多利息。


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