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Question 1: Imagine that £ is pegged to gold at the price of £800/ounce. And the S is pegged to gold at $1,200 / ounce. The i
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Answer #1

We are given:

  • GBP/Gold = GBP 800 per ounce
  • USD/Gold = USD 1200 per ounce
  • So the USD to GBP cross rate is calculated below:
    • GBP 800 = USD 1200
    • GBP 1 = USD 1200/800
    • GBP 1 = USD 1.5
    • So implied rate is $1.5 per pound while the actual rate is $1.8 per pound
  • Therefore we have an arbitrage opportunity:
    • We use USD 1200 to buy 1 ounce of Gold
    • We sell this one ounce of gold in return of GBP 800
    • We convert this GBP 800 to USB at the exchange rate of $1.8 per pound
      • So we will have 800 x 1.8 = USD 1440
    • So We started with USD 1200 and without any extra risk, ended up with USD 1440
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