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Olivia.W🌸 · 2024年01月30日

e怎么计算,计算器能算么?

NO.PZ2022123001000158

问题如下:

The current exchange rate between the euro and US dollar is USD/EUR1.025. Risk-free interest rates for one year are 0.75 percent for the euro and 3.25 percent for the US dollar. The one-year USD/EUR forward rate that best prevents arbitrage opportunities is:

选项:

A.

USD/EUR1.051

B.

USD/EUR1.025

C.

USD/EUR0.975

解释:

A is correct. To avoid arbitrage opportunities in exchanging euros and US dollars, investors must be able to lock in a one-year forward exchange rate of USD/ EUR1.051 today. The solution methodology is shown below.

In one year, a single unit of euro invested risk-free is worth EUR1.0075 (=e0.0075).

In one year, a single unit of euro converted to US dollars and then invested risk-free is worth USD1.0589 (=1.025*e0.0325).

To convert USD1.0589 into EUR1.0075 requires a forward exchange rate of USD/EUR1.051 (=1.0589/1.0075).


小t代表什么?

可以用这个公式计算么?为什么不是F=1.025*e(0.0325-0.0075)*t?

e怎么计算,计算器能算么?

1 个答案

品职助教_七七 · 2024年01月31日

嗨,从没放弃的小努力你好:


小t代表什么?---------------代表投资时间,本题中为一年。

可以用这个公式计算么?为什么不是F=1.025*e(0.0325-0.0075)*t?------这类题就这样算,不需要使用答案解析中的方式。

e怎么计算,计算器能算么?-----e的按法为:先输入乘方上的数字,再按2nd+计算器最左列的LN键。

本题中,F=1.025 × e^(3.25%-0.75%)*1

1)计算(3.25%-0.75%)*1=0.025

2)不退出界面,直接按2nd+计算器最左列的LN键,得到e^0.025=1.0253;

3)不退出界面,直接乘以S0=1.025,得到F=1.025 × 1.0253=1.0509≈1.051(A选项)

----------------------------------------------
虽然现在很辛苦,但努力过的感觉真的很好,加油!

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