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# Statistic Opcase Essay

1423 words - 6 pages

Case 1:
Bond Funds presentation
and analysis

1. Introduction (0,5 p)
In this project, we have analyzed 184 bond funds classified according to the following variables
* Type : intermediate government or short-term corporate
* Expense ratio: ratio of expenses to net sales
* Fees: Sales charges
* Return 2009: twelve months return in 2009
* Three-years return: annualized return 2007-2009
* Five-years return: annualized return 2005-2009
* Risk: risk of loss factor of the mutual fund (bellow average, average, above average)
In order to do the analysis, we have used several representations of the data and computed different measures that give indication of ...view middle of the document...

2.1 Fees for Expense Ratio

Figure 1: Expense ratio % distribution
* The expense ratio represents the ratio of expenses to net sales. Therefore, the lowest is the expense ratio, the better is the performance of the fund (because using less expenses per sales)
* According to Figure 1, we can see that the funds without fees tend to have the lowest expense ratio and the funds with fees tend to have the highest expense ratio
* According to Table 1, funds without fees have more variability than funds with fees (Range, Variance, SD, CV).
* In order to take a decision on which funds to invest in, a closer look has to be made on the return of investments

3.2.2 Fees for 2009 Return

Figure 2: 2009 return % distribution
* According to Table 1 and Figure 2, on average funds without fees had a higher return in 2009 than funds with fees (7.27 vs. 6.92)
* According to Table 1, funds without fees have less variability than funds with fees (Range, Variance, SD, CV). This means that less risk is associated with funds without fees

3.2.3 Fees for 3 years return

Figure 3: 3-YR return % distribution
* According to Table 1 and Figure 3Figure 2, on average funds without fees had a lower return from 2007 to 2009 than funds with fees (4.61 vs. 4.80)
* According to Table 1, funds without fees have more variability than funds with fees (Range, Variance, SD, CV). This means that between 2007 and 2009 more risk is associated with funds without fees
3.2.4 Fees for 5 years return

Figure 4: 5-YR return % distribution

* According to Table 1 and Figure 4Figure 3Figure 2, on average funds without and with fees had the same return from 2005 to 2009
* According to Table 1, funds without fees have more variability than funds with fees (Range, Variance, SD, CV). This means that between 2005 and 2009 more risk is associated with funds without fees

3. Analysis by Intermediate government and short-term corporate
| Expense Ratio(%) | Return 2009 | 3Y Return | 5Y Return |
| IG | STC | IG | STC | IG | STC | IG | STC |
Mean | 75.78 | 67.05 | 4.45 | 9.60 | 5.60 | 3.82 | 4.56 | 3.47 |
Median | 75.00 | 66.00 | 4.40 | 9.10 | 6.00 | 4.60 | 4.70 | 3.90 |
First Quartile | 55.00 | 52.00 | 0.90 | 5.90 | 5.10 | 3.30 | 4.15 | 3.10 |
Third Quartile | 96.00 | 81.00 | 6.45 | 12.90 | 6.40 | 5.40 | 5.15 | 4.40 |
Range | 182.00 | 96.00 | 33.40 | 40.80 | 9.50 | 22.70 | 5.60 | 13.70 |
Interquartile Range | 41.00 | 29.00 | 5.55 | 7.00 | 1.30 | 2.10 | 1.00 | 1.30 |
Variance | 904.45 | 405.92 | 28.74 | 32.34 | 2.47 | 8.34 | 0.96 | 2.78 |
Standard Deviation | 30.07 | 20.15 | 5.36 | 5.69 | 1.57 | 2.89 | 0.98 | 1.67 |
...

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