Consider Supertech and Slowpoke. From our earlier calculations, we find that the expected returns on these two

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Consider Supertech and Slowpoke. From our earlier calculations, we find
that the expected returns on these two securities are 17.5 percent and 5.5 percent, respectively.
The expected return on a portfolio of these two securities alone can be written as:E(Rp) = X Super(.175) + Xslow(.055)

where X Super is the percentage of the portfolio in Supertech and XSlow is the percentage of the
portfolio in Slowpoke. If the investor with $100 invests $60 in Supertech and $40 in Slowpoke,
the expected return on the portfolio can be written as:E(Rp) = .6 x .175 + 4 x .055 = .127, or 12.7% Algebraically, we can write: E(Rp) = XAE(RA) + XBE(RB)

where X A and XB are the proportions of the total portfolio in the assets A and B, respectively.
(Because our investor can invest in only two securities, XA + Xmust equal 1, or 100 percent.) E(RA) and E(RB) are the expected returns on the two securities.

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Corporate Finance

ISBN: 9781265533199

13th International Edition

Authors: Stephen Ross, Randolph Westerfield, Jeffrey Jaffe

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