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You have the following information on two portfolios. Portfolio A consists of a 1000 par-value 4-year bond with 7% annual coupons and a 5-year zero-coupon

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You have the following information on two portfolios. Portfolio A consists of a 1000 par-value 4-year bond with 7% annual coupons and a 5-year zero-coupon bond with a par-value of X. Both bonds redeem at par. Portfolio B consists of a single 4-year zero-coupon bond with maturity value of 10000. All bonds yield an annual effective rate of 7%. The portfolios both have the same volatility (i.e. modified duration). Find the X. Give your answer rounded to the nearest whole number. You have the following information on two portfolios. Portfolio A consists of a 1000 par-value 4-year bond with 7% annual coupons and a 5-year zero-coupon bond with a par-value of X. Both bonds redeem at par. Portfolio B consists of a single 4-year zero-coupon bond with maturity value of 10000. All bonds yield an annual effective rate of 7%. The portfolios both have the same volatility (i.e. modified duration). Find the X. Give your answer rounded to the nearest whole number

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