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Unformatted text preview: Solution to Problem Set 3 Investments Prof. Pierre-Olivier Weill 1. (a) The return on the risk free asset is given as 8%. The standard deviation of that return is 0 by definition, since the asset is risk free. (b) Expected return is given by: E ( R p ) = w M E ( R M ) + w f E ( R f ) = ( . 5)( . 16) + ( . 5)( . 08) = . 12 Because the standard deviation of the return on the risk free asset is 0, the standard deviation of the portfolio is: p = w M M = ( . 5)( . 10) = . 05 = 5% (c) The standard deviation of return will be equal to: p = w M M = (1 . 25)( . 10) = 0 . 125 = 12 . 5% Expected return will be equal to: E ( R p ) = w M E ( R M ) + (1- w M ) R f = 1 . 25( . 16) + (- . 25)( . 08) = . 18 This result can also be obtained using: E ( R p ) = R f + E ( R M )- R f M p = . 08 + . 16- . 08 . 10 . 125 = . 18 (d) From above we have: p = w M M for the risk of the portfolio. The question asks for w M and w f that produces p = 2 M . Substituting 2 p for M into the equation gives:...
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This note was uploaded on 02/04/2010 for the course ECON 106v taught by Professor Miyakawa during the Spring '08 term at UCLA.
- Spring '08