Prove the formula for the duration of a portfolio: Consider n fixed-income securities with prices P;...
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Prove the formula for the duration of a portfolio: Consider n fixed-income securities with prices P; and Macaulay durations Di, respectively, all computed at a common yield. The portfolio of these securities has price P = 1 P₁ and duration where wi = is the weight of security i. n D = Σw₁D₁ i=1 Prove the formula for the duration of a portfolio: Consider n fixed-income securities with prices P; and Macaulay durations Di, respectively, all computed at a common yield. The portfolio of these securities has price P = 1 P₁ and duration where wi = is the weight of security i. n D = Σw₁D₁ i=1
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The formula for the duration of a portfolio states that the portfolios duration is equal to the weighted average of the durations of the individual se... View the full answer
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