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Math/Finance Proof Help! Question: Let Pi be the price of i- th bond in the portfolio of n bonds and Di be the modified duration

Math/Finance Proof Help!

Question: Let Pi be the price of i- th bond in the portfolio of n bonds and Di be the modified duration of that bond.Show that the duration of portfolio D satisfies the formula:

D= (D1P1)+(D2 P2)+...+(Dn Pn) / (P1+...+Pn)

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