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ruby5ltc · 2023年01月01日

美元的远期汇率为什么不能这么计算?

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NO.PZ202208160100000204

问题如下:

Based on the data in Exhibits 1 and 2, the mark-to-market value for Nexran’s forward position related to the oil field construction equipment order is closest to:

选项:

A.USD874,000. B.USD877,674. C.USD871,690.

解释:

Solution

C is correct.

  1. Nexran sold EUR20 million forward to the settlement date at 1.1716 (USD/EUR).

  2. To mark the position to market, Nexran offsets the forward transaction by buying EUR 20 million six months forward to the settlement date.

  3. For the offsetting forward contract, because the EUR is the base currency in the USD/EUR quote, buying EUR forward means paying the offer for both the spot rate and forward points.

    1. The all-in six-month forward rate is calculated as 1.1243 + 0.0036 = 1.1279 USD/EUR.

    2. This rate gives a net cash flow on settlement day of EUR20,000,000 × (1.1716 – 1.1279) USD/EUR = 20,000,000 × 0.0437 = USD874,000. (This amount is a cash inflow because the EUR depreciated against the USD.)

  4. To determine the mark-to-market value of the original forward position, calculate the present value of the USD cash inflow using the six-month USD discount rate: USD874,000/[1 + 0.0053(180/360)] = USD871,690.

A is incorrect. The present value of the cash flow was not calculated (step 4 of calculation).

B is incorrect. The cash flow was calculated using the bid rate instead of the offer rate.

  1. The all-in six-month forward rate = 1.1241 + 0.0035 = 1.1276

  2. This gives a net cash flow on settlement day of 20,000,000EUR × (1.1716 – 1.1276) USD/EUR = USD880,000, and the present value is calculated as USD880,000/[1 + 0.0053(180/360)] = USD877,674.



1 个答案

笛子_品职助教 · 2023年01月02日

嗨,努力学习的PZer你好:


美元的远期汇率为什么不能这么计算?

假定covered forward parity是可以这么算的。但是这道题并没有给这个假设。所以用远期利率平价计算的forward汇率和题目中的forward汇率是可以有差异的。

这道题主要是the mark-to-market value的计算。并没有太多的涉及到远期汇率。

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2023-10-31 14:30 1 · 回答

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2023-03-28 22:49 1 · 回答

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2022-11-12 09:27 1 · 回答

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2022-10-05 12:30 1 · 回答