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Suppose a s200 million bank has an average asset duration of 10 years and an average liabuity duration of 1 year. The bank's total debt

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Suppose a s200 million bank has an average asset duration of 10 years and an average liabuity duration of 1 year. The bank's total debt ratio k (- Z/A ) is 0.9. The tank plans to hedge its interest rate risk with an option. The coll option has a delta of 0.33 and the pot option has a delta - 0.67. The T-note underiying the option contracts has a face value of $100,000, a market value of $112,000 and a duration of 8 years. Calculate the number of contracts of the options needed for the hedge Assume that there is no baitis risk on the hedge purchase aperoximately 3092 put oobon coneracts sell poproxately 20000 put option contracts. pell approximately 1.786 cal osbon contracts- tell approximately 5,411 call option contracts. puechace approximately 6, 155 call option contracts

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