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Working with Portfolio Betas

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Suppose you hold a diversified portfolio consisting of a $7,500 investment in each of 20 different common stocks. The portfolio beta is equal to 1.12. Now, suppose you have decided to sell one of the stocks in your portfolio with a beta equal to 1.0 for $7,500 and to use these proceeds to buy another stock for your portfolio. Assume the new stock's beta is equal to 1.75 Calculate your portfolio's new beta.

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Solution Summary

The solution explains how to calculate the new beta of a portfolio given a change in composition of the portfolio.

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The portfolio beta is the weighted average of individual beta, with the investment proportion as the weight. There are 20 stocks and each is worth $7,500. The total portfolio value is ...

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