African Capital Investment Company (ACIC) has decided to open a branch in Ghana as a first step in diversifying its equity portfolios to incorporate emerging market assets. They are therefore assessing the performance of three funds that have been suggested to them by their local consultant. The three funds are: (a) Alpha Fund which caters to the investment needs of students and lecturers (b) Gamma Fund which is meant for nurses and medical doctors (c) GSE Fund which is set up to mimic the GSE-All Share Index Their decision to locate in Ghana is dependent on their perceived performance of the various funds already operating in the country. They have gathered five years of return data and other basic statistics on the funds; which are presented below: YEAR Alpha Fund Return (%) Gamma Fund Return (%) GSE Fund for All Shares Return (%) 1 18.5 24.3  18.3 2 10.3 9.4 4.7 3 -9.2 18.8  16.2 4 20.1 -12.6 31.4 5 14.3 20.4 -3.3 GSE Fund for All Shares Return (%) 0.34 10.80 10.57 0.55 12.06 13.27 1.00 13.46 11.92 The five-year average return on the Government of Ghana One Year Treasury Note is 5.0%. Based on the information above they have asked you to present to them your assessment of the performance of the above funds using the following performance measurement indexes: (a) Sharpe's Performance Index (b) Treynor's Performance Index (c) Jensen's Performance Index In each case indicate which fund performed best.

Financial Reporting, Financial Statement Analysis and Valuation
8th Edition
ISBN:9781285190907
Author:James M. Wahlen, Stephen P. Baginski, Mark Bradshaw
Publisher:James M. Wahlen, Stephen P. Baginski, Mark Bradshaw
Chapter2: Asset And Liability Valuation And Income Recognition
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Assignment Four (B)
African Capital Investment Company (ACIC) has decided to open a branch in Ghana as a first
step in diversifying its equity portfolios to incorporate emerging market assets. They are
therefore assessing the performance of three funds that have been suggested to them by their
local consultant. The three funds are:
(a) Alpha Fund which caters to the investment needs of students and lecturers
(b) Gamma Fund which is meant for nurses and medical doctors
(c) GSE Fund which is set up to mimic the GSE-All Share Index
Their decision to locate in Ghana is dependent on their perceived performance of the various
funds already operating in the country. They have gathered five years of return data and other
basic statistics on the funds; which are presented below:

YEAR Alpha Fund
Return (%)
Gamma Fund
Return (%)
GSE Fund for All
Shares Return (%)
1 18.5 24.3  18.3
2 10.3 9.4 4.7
3 -9.2 18.8  16.2
4 20.1 -12.6 31.4
5 14.3 20.4 -3.3
GSE Fund for All
Shares Return (%)
0.34
10.80
10.57
0.55
12.06
13.27
1.00
13.46
11.92

The five-year average return on the Government of Ghana One Year Treasury Note is 5.0%.
Based on the information above they have asked you to present to them your assessment of the
performance of the above funds using the following performance measurement indexes:
(a) Sharpe's Performance Index
(b) Treynor's Performance Index
(c) Jensen's Performance Index
In each case indicate which fund performed best.

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