Consider three stock funds, which we will call Stock Funds 1, 2, and 3. Suppose that Stock Fund 1 has a mean yearly return of 8.
00 percent with a standard deviation of 16.30 percent; Stock Fund 2 has a mean yearly return of 11.40 percent with a standard deviation of 18.80 percent, and Stock Fund 3 has a mean yearly return of 13.10 percent with a standard deviation of 8.90 percent. (a) For each fund, find an interval in which you would expect 95.44 percent of all yearly returns to fall. Assume returns are normally distributed. (Round your answers to 2 decimal places. Negative amounts should be indicated by a minus sign.) Fund 1: [ 8.00 , 16.30 ] Fund 2: [ 11.40 , 18.80 ] Fund 3: [ 13.10 , 8.90 ] (b) Using the intervals you computed in part a, compare the three funds with respect to average yearly returns and with respect to variability of returns. Fund 1 has the average and the variability. Fund 2 has the average and the variability. Fund 3 has the average return and the variability. (c) Calculate the coefficient of variation for each fund, and use your results to compare the funds with respect to risk. Which fund is riskiest
1 answer:
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Answer:
i. The ratio of the areas of the two triangles is 5:8.
ii. The area of the larger triangle is 24 in².
Step-by-step explanation:
Let the area of the smaller triangle be represented by , and that of the larger triangle by
.
Area of a triangle = x b x h
Where; b is its base and h the height.
Thus,
a. The ratio of the area of the two triangles is:
Area of smaller triangle = x b x h
= x 5 x h
= h
Area of the lager triangle = x b x h
= x 8 x h
= 4h
So that;
Ratio =
=
The ratio of the areas of the two triangles is 5:8.
b. If the area of the smaller triangle is 15 in², then the area of the larger triangle can be determined as;
=
=
5 = 15 x 8
= 120
=
= 24
The area of the larger triangle is 24 in².
