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Variance
Consider the example of investment opportunities. The expected gains were Rs.114 and Rs.81 respectively. The fact is that an investor also looks at the dispersion before coming to a decision.
The dispersion of opportunity 1 is far greater than that of opportunity 2. This might alarm the investor.
In this example, it might be worthwhile to compute the coefficient of variation.
For opportunity 1, this works out to be
= (42/114) x 100 = 36.84%
For opportunity 2, this works out to be
= (29.14/81) x 100 = 35.97%
The investor may regard both opportunities homogeneous in this regard and therefore find opportunity 1 more attractive (because of the higher expected returns).
The figure shows the sketch graphs of the functions
simplify the following: 3^5/2-3^1/2
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reflection
The next topic that we desire to discuss here is powers of i. Let's just take a look at what occurring while we start looking at many powers of i . i 1 = i
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