Irish Lottery
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Congratulations, you just won the Irish Lottery! You bought a ticket while you were on vacation in Ireland, and you just won a 1 million Euro jackpot after all taxes were taken out.
1. If the current exchange rate is US$1 equals 1.25 Euros, how much did you win in US dollars?
2. Suppose that the interest rate in Irish banks is 5% for a one year CD. In the USA, the rate is 2% 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?
3. Suppose when you cashed in your CD in Ireland a year from now, the exchange rate had changed from US$1 to 1.25 Euro, to US$1 to 1.30 Euro. How much would your Irish bank account be worth in US$ at that point? Did you do better off leaving your winnings in Ireland or bringing them home to the USA?
4. Explain how banks and individuals can use "covered interest arbitrage" to protect themselves when they make international financial investments.
5. 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?
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Solution Summary
Congratulations, you just won the Irish Lottery! You bought a ticket while you were on vacation in Ireland, and you just won a 1 million Euro jackpot after all taxes were taken out.
Solution Preview
) If the current exchange rate is US$1 equals 1.25 Euros, how much did you win in US dollars?
Answer: 1 Euro= 1/1.25 USD= .80 USd.
Therefore 1 million Euro = 1 million multiplied by .80= 800,000 USD
2) Suppose that the interest rate in Irish banks is 5% for a one year CD. In the USA, the rate is 2% for a one year CD. If you left your winnings in Ireland, how many Euros would you have in a year?
Answer: Total interest earned in one year= 10,00000 Euros multiplied by 5% for one year= 50,000 Euros.
Euros at the end of the year= 1 million Euros + 50,000 Euros= 1,050,000 Euros
3) If you had taken your winnings back to the USA, how many dollars would you have?
Answer: Total interest earned if money was transferred to USA: 800,000 USD multiplied by 2% for one year= 16,000 USD
Total money= 800,000 USD + 16,000 USD= 816,000 USD
4) Suppose when you cashed in your CD in Ireland a year from now, the exchange rate had changed from US$1 to 1.25 Euro, to US$1 to 1.30 Euro.
How much would your Irish bank account be worth in US$ at that point?
Did you do better off leaving your winnings in Ireland or bringing them home to the USA?
Anwer: According to new exchange rate at the end of the year:
1 Euro= 1/1.30 USD= .769 USD
Therefore 1,050,000 Euros= 807,450 USD.
We have been better off bringing the money back to USA as we could have earned 816,000 at the end of the year in USA.
5) Explain how banks and individuals can use "covered interest arbitrage" to protect themselves when they make international financial investments.
Answer: Covered interest arbitrage is the transfer of liquid funds from one monetary center (and currency) to ...
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