Exercise . (Caplets and options on zero-coupon bonds) Assume that the lognormal LIBOR market model holds. Use

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Exercise . (Caplets and options on zero-coupon bonds) Assume that the lognormal LIBOR market model holds. Use the caplet formula (.) and the relations between caplets, floorlets, and European bond options known from Chapter  to show that the following pricing formulas for European options on zero-coupon bonds are valid

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