The following table shows the betas and actual expected returns of 4 mutual funds in the market: ● Beta ● Actual expected Fund 1 0.5 Fund 2 0.8 Fund 3 1.4 Fund 4 1.9 The return rate of riskfree asset is rf = 5% and the market portfolio exists. You are given that Exactly two of the funds perform better than the market expectation (i.e. Actual expected return is strictly higher than market expected return) Exactly one of the funds performs worse than the market expectation. return 7.2% 10% 12% 16% (b) A fund manager launches a new fund (called Fund X) which 25% of the capital will be invested in Fund 1, 35% of the capital will be invested in Fund 3 and 40% of the capital will be invested in Fund 4. Compute the Jensen alpha and Treynor ratio of the Fund X.

Principles Of Marketing
17th Edition
ISBN:9780134492513
Author:Kotler, Philip, Armstrong, Gary (gary M.)
Publisher:Kotler, Philip, Armstrong, Gary (gary M.)
Chapter1: Marketing: Creating Customer Value And Engagement
Section: Chapter Questions
Problem 1.1DQ
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The following table shows the betas and actual expected returns of 4 mutual funds in the
market:
●
Fund 1
Fund 2
Fund 3
Fund 4
●
Beta
0.5
0.8
1.4
1.9
Actual expected
The return rate of riskfree asset is rf = 5% and the market portfolio exists. You are given that
Exactly two of the funds perform better than the market expectation (i.e. Actual
expected return is strictly higher than market expected return)
Exactly one of the funds performs worse than the market expectation.
return
7.2%
10%
12%
16%
(b) A fund manager launches a new fund (called Fund X) which 25% of the capital will be
invested in Fund 1, 35% of the capital will be invested in Fund 3 and 40% of the capital
will be invested in Fund 4. Compute the Jensen alpha and Treynor ratio of the Fund X.
Transcribed Image Text:The following table shows the betas and actual expected returns of 4 mutual funds in the market: ● Fund 1 Fund 2 Fund 3 Fund 4 ● Beta 0.5 0.8 1.4 1.9 Actual expected The return rate of riskfree asset is rf = 5% and the market portfolio exists. You are given that Exactly two of the funds perform better than the market expectation (i.e. Actual expected return is strictly higher than market expected return) Exactly one of the funds performs worse than the market expectation. return 7.2% 10% 12% 16% (b) A fund manager launches a new fund (called Fund X) which 25% of the capital will be invested in Fund 1, 35% of the capital will be invested in Fund 3 and 40% of the capital will be invested in Fund 4. Compute the Jensen alpha and Treynor ratio of the Fund X.
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