Determine the maximum one-month loss

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Vezas corporation operates in three different markets - Canada, New Zealand, and Mexico. Exactly one month from now, the company expects to receive substantial amounts in all three currencies. At the same time, the company is also required to make a significant sum of payments in the same currencies. The following table summarizes firms committed receipts and payments in one month.

Currency

Total Inflow

Total Outflow

Canadian dollars (C$)

57662000

10134000

New Zealand dollars (NZ$)

5352000

2845000

Mexican pesos (MXP)

3138000

15715000

Based on data for the last 50 months, it estimates the standard deviation of monthly percentage changes exchange rate for each currency against USD is produced below.

Currency

Standard Deviation

Spot Rate

Canadian dollars (C$)/US$

2.90%

$0.81

New Zealand dollars (NZ$) / US$

3.50%

$0.72

Mexican pesos (MXP) / US$

4.90%

$0.05

Moreover, the correlation coefficient among these currencies is produced below.

Currency

Canadian $

New Zealand $

Mexican Pesos

Canadian dollars

1

 

 

New Zealand dollars

0.74

1

 

Mexican pesos

0.47

-0.26

1

Based on the above information answer the following questions:

  1. Using a 95% confidence level determine the maximum one-month loss for the committed receipts or payment individually in each currency
  2. Determine the maximum one-month loss for the company from the portfolio of receipts
  3. Is there any difference between total portfolio loss and the loss derived by adding the individual currency losses? Explain such differences

Reference no: EM133068037

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