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Reading 18: Currency Exchange Rates-LOS c习题精选

Session 4: Economics: Economics for Valuation
Reading 18: Currency Exchange Rates

LOS c: Calculate and interpret currency cross rates, given two spot exchange quotations involving three currencies.

 

 

 

Given an exchange rate of 0.9250 USD/CAD and 1.6250 USD/SF what is exchange rate quoted in CAD/SF?

A)

0.5692.

B)

1.5032.

C)

1.7568.

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The Japanese yen is trading at 115.2200 ¥/$ and the Danish krone (DKK) is trading at 16.4989 ¥/DKK. The $/DKK exchange rate is:

A)
6.9835 $/DKK.
B)
0.1432 $/DKK.
C)
0.5260 $/DKK.

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The Japanese yen is trading at 115.2200 ¥/$ and the Danish krone (DKK) is trading at 16.4989 ¥/DKK. The $/DKK exchange rate is:

A)
6.9835 $/DKK.
B)
0.1432 $/DKK.
C)
0.5260 $/DKK.



The cross rate between $ and DKK is calculated in the following manner:

$/¥ × ¥/DKK = (1 / 115.2200) × 16.4989 = 0.1432 $/DKK (the Yen cancels out)

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A Mexican dealer gives a quote of 8.00 bid / 8.10 ask (MXN/USD) and a London dealer quotes the U.S. dollar at 2.00 bid / 2.1 ask (GBP/USD). What is the MXN/GBP bid and ask from the perspective of a Mexican dealer?

A)
3.81 ? 4.05.
B)
3.81 ? 3.86.
C)
4.00 ? 4.05.

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A Mexican dealer gives a quote of 8.00 bid / 8.10 ask (MXN/USD) and a London dealer quotes the U.S. dollar at 2.00 bid / 2.1 ask (GBP/USD). What is the MXN/GBP bid and ask from the perspective of a Mexican dealer?

A)
3.81 ? 4.05.
B)
3.81 ? 3.86.
C)
4.00 ? 4.05.



This result is determined as follows:

Step 1: Invert GBP quote.

First, we need to invert the GBP quotes to make the currency units USD/GBP. Then, when we multiply by the MXN/USD quote we will have the correct MXN/GBP units. (Remember that when you take the reciprocal of a quote, the bid becomes the ask and vice versa. So, for the bid we take the given ask)

Bid: 1.00000 / 2.10000GBP/USD = 0.47619USD/GBP

Ask: 1.00000 / 2.00000GBP/USD = 0.50000USD/GBP

Step 2: Calculate MXN/GBP bid-ask Prices.

Bid: 8.00000MXN/USD × 0.47619USD/GBP = 3.80952MXN/GBP, or 3.81MXN/GBP.

Ask: 8.10000MXN/USD × 0.50000USD/GBP = 4.05000MXN/GBP, or 4.05MXN/GBP.

Thus, the MXN/GBP bid-ask is: 3.81MXN/GBP - 4.05MXN/GBP.

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Given the following bid-ask spreads, calculate the SF/DKK bid ask spread:  

  • SF/$ bid-ask 1.3096 ? 1.4528  
  • DKK/$ bid-ask 2.4365 ? 2.5843

A)

1.6771 ? 1.9733.

B)

0.53749 ? 0.56216.

C)

0.50675 ? 0.59627.




Set up a bid-ask matrix using:

SF/$ bid-ask 1.3096 ? 1.4528

DKK/$ bid-ask 2.4365 ? 2.5843

(1.3096 SF/$) / (2.5843 DKK/$) = 0.50675 SF/DKK

(1.4528 SF/$) / (2.4365 DKK/$) = 0.59627 SF/DKK


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If the CAD is trading at 0.6403 USD/CAD and the GBP is trading 2.5207 CAD/GBP, the USD/GBP exchange rate is:

A)
0.6196 USD/GBP
B)
1.6140 USD/GBP.
C)
3.9367 USD/GBP.

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If the CAD is trading at 0.6403 USD/CAD and the GBP is trading 2.5207 CAD/GBP, the USD/GBP exchange rate is:

A)
0.6196 USD/GBP
B)
1.6140 USD/GBP.
C)
3.9367 USD/GBP.



(0.643USD/CAD) × (2.5207CAD/GBP) = 1.6140 USD/GBP.

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