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Assume that the continuously compounded zeros rates for T=1, 2,3, 4 (years) are 4.5%, 5.2%,5.7%, 6.3% respectively. A market maker offers, through forwardrate agreements (FRAs), thefollowing rates; 6.078% for the period between the 1st and the 2ndyear, 6.900% for the periodbetween 2nd and the 3rd year and finally 8.300% for the periodbetween the 3rd and the 4th year.Evaluate if arbitrage opportunities exist. If such opportunitiesexist, design a strategy that candeliver the maximum profit on a principal of £100 million. Assumeannual compounding for theFRA’s interest rate quotes.
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