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You begin with $100,000 in cash and want to borrow another $100,000 by issuing a coupon bond. You plan to invest the first $100,000 in

You begin with $100,000 in cash and want to borrow another $100,000 by issuing a coupon bond. You plan to invest the first $100,000 in a two year zero-coupon bond, and the second $100,000 in a four year zero-coupon bond. What should the duration of the coupon bond you issue be so that your portfolio has a Macaulay duration of zero?

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