If the current exchange rate is US$1 equals € .70, how much did you win in US dollars?

Suppose that the interest rate in Irish banks is 2% for a one year CD. In the USA, the rate is 4% for a one year CD. If you left your winnings in Ireland, how many euros would you have in a year? If you had taken your winnings back to the USA, how many dollars would you have?
Suppose when you cashed in your CD in Ireland a year from now, the exchange rate had changed from US$1 to € .70 to US$1 to € .65. How much would your Irish bank account be worth in US dollars at that point? Would you have been better off leaving your winnings in Ireland or bringing them home to the USA?
Explain how banks and individuals can use “covered interest arbitrage” to protect themselves when they make international financial investments.
Using the theory of purchasing power parity, explain how inflation impacts exchange rates. Based on the theory of purchasing power parity, what can we infer about the difference in inflation between Ireland and the USA during the year your lottery winnings were invested?

3 answers

a. since 1 dollar = .70 euros
.70 euros = 1 dollar
Dividing both sides by .70,
then 1 euro = 1/.70 dollar
1,000,000 euros = 1,000.000 (1/.70) dollars
= $1,428,571.43
b. Since the interest rate is 2% (in Irish bank), 1,000,000 euros after one year =
1,000,000 + 2%(1,000,000) or 1,000,000 (1 + .02) = 1,000,000 (1.02)
= 1,020,000 euros
c. The 1,020,000 euros converted to US dollars at $1 = .70 euros
1,020,000 euros = 1,020,000/.70 dollars
= $1,457,142.86
d. At $1 = .65 euro
1,020,000 euros - 1,020,000/.65 dollars
= $1,569,230.77
e. 1,000,000 euros which is equivalent to $1,428,571.43, invested in US bank at 4% is
= $1,428,571.43 + 4%($1,428,571.43)
= $1,428,571.43 (1 + 4%)
= $1,428,571.43 (1 +.04)
= $1,428, 571.43 (1.04)
= $1,485,714.29
This amount is less than the $1,569,230.77 value of the money after one year if left in Irish bank.
Explain how banks and individuals can use “covered interest arbitrage” to protect themselves when they make international financial investments.
Explain how banks and individuals can use “covered interest arbitrage” to protect themselves when they make international financial investments.
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