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You will be paying $10,700 a year in tuition expenses at the endof the next two years. Bonds currently yield 10%.a.What is the present value and duration of your obligation?(Do not round intermediate calculations.Round "Present value" to 2 decimal places and "Duration" to 4decimal places.) Present value$ Durationyearsb.What is the duration of a zero-coupon bond that would immunizeyour obligation and its future redemption value?(Do not round intermediatecalculations. Round "Duration" to 4 decimal placesand "Future redemption value" to 2 decimalplaces.) Durationyears Future redemption value$ You buy a zero-coupon bond with value and duration equal toyour obligation.c-1.Now suppose that rates immediately increase to 11%. What happensto your net position, that is, to the difference between the valueof the bond and that of your tuition obligation?(Do not round intermediate calculations.Round your answer to 2 decimal places.) Net position changes by$ c-2.What if rates fall to 9%? (Do not roundintermediate calculations. Round your answer to 2 decimalplaces.) Net position changes by$
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