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3. Venezia Inc. is a small publicly traded hotel company with a market value for equity of $ 75 million and debt outstanding of $

3. Venezia Inc. is a small publicly traded hotel company with a market value for equity of $ 75 million and debt outstanding of $ 25 million; the debt is in the form of 5- year zero coupon bonds and a regression of changes in firm value against interest rates yields the following: Change in firm value = 0.50 7.50 (Change in interest rates) The firm is considering starting a travel agency arm to extend its reach in the tourism business and borrowing $ 50 million to fund that entire expansion. If the duration of travel agency business is 3 years, and Venezia wants the duration of its overall debt to match its consolidated assets, what should the duration of the new debt be?

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