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• Suppose the spot rate between Euro and
 USD is 0.8700 USD per Euro. 90-day
 forward is 0.8500.Dollars can be lent or
 borrowed at a rate of 5% p.a while the rate
 for euro deposits or loans is 8%p.a. Is
 there an opportunity for arbitrage?
Covered Interest Arbitrage

• Borrow 100 Euros @ 8%p.a
• Convert into USD spot 100x0.87 =$87
• Deposit $87 for 90 days @ 5%p.a =
  $88.0875
• Convert it to Euro forward
                     =88.0875/.85=103.63
• Repay Euro loan                = 102.00
• Arbitrage profit               =   1.63
•   Consider the following data:
•   Gbp/usd: 1.7500/10
•   3 month forward: 1.7380/1.7400
•   3-month eurodollar:8.00/8.20% p.a
•   3-month euro sterling: 10.50/11.005 p.a
•   Check whether there is a covered interest
    arbitrage.
• Borrow $1for 3 months at 8.20% p.a., convert to
• GBP(1/1.7510) = GBP 0.5711, invest GBP at 10.50%
    p.a. for three months; maturity value GBP
    0.5711[1+(0.1050/4)] = GBP 0.5861, which sold forward
    at 1.7380 yields $1.0186. Repayment of dollar loan
    requires $1.0205 = 1+(0.0820/4). Net loss.
•   Borrow GBP 1 at 11%; convert spot to $1.7500; invest at
    8.0% p.a.; maturity value of deposit 1.75(1.02) =
    $1.7850; sold forward at $1.7400 per GBP yield
    GBP(1.7850/1.7400) = GBP 1.0259; repayment of GBP
    loan requires GBP [1+(0.11/4)] = GBP 1.0275. Again net
    loss.
•   Hence no covered interest arbitrage opportunity.

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Ifm forex markets-01[1].03.07

  • 1. • Suppose the spot rate between Euro and USD is 0.8700 USD per Euro. 90-day forward is 0.8500.Dollars can be lent or borrowed at a rate of 5% p.a while the rate for euro deposits or loans is 8%p.a. Is there an opportunity for arbitrage?
  • 2. Covered Interest Arbitrage • Borrow 100 Euros @ 8%p.a • Convert into USD spot 100x0.87 =$87 • Deposit $87 for 90 days @ 5%p.a = $88.0875 • Convert it to Euro forward =88.0875/.85=103.63 • Repay Euro loan = 102.00 • Arbitrage profit = 1.63
  • 3. Consider the following data: • Gbp/usd: 1.7500/10 • 3 month forward: 1.7380/1.7400 • 3-month eurodollar:8.00/8.20% p.a • 3-month euro sterling: 10.50/11.005 p.a • Check whether there is a covered interest arbitrage.
  • 4. • Borrow $1for 3 months at 8.20% p.a., convert to • GBP(1/1.7510) = GBP 0.5711, invest GBP at 10.50% p.a. for three months; maturity value GBP 0.5711[1+(0.1050/4)] = GBP 0.5861, which sold forward at 1.7380 yields $1.0186. Repayment of dollar loan requires $1.0205 = 1+(0.0820/4). Net loss. • Borrow GBP 1 at 11%; convert spot to $1.7500; invest at 8.0% p.a.; maturity value of deposit 1.75(1.02) = $1.7850; sold forward at $1.7400 per GBP yield GBP(1.7850/1.7400) = GBP 1.0259; repayment of GBP loan requires GBP [1+(0.11/4)] = GBP 1.0275. Again net loss. • Hence no covered interest arbitrage opportunity.