The diameter of a circle is 5 centimeters. What is the circle's circumference? Use = 3.14

Mathematics

1 answer:

Elis [28]3 years ago

6 0

The answer is 15.71 rounded

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You manage a risky portfolio with an expected rate of return of 18% and a standard deviation of 28%. The T-bill rate is 8%. Your

Fofino [41]

Answer:

y = 0.80

Step-by-step explanation:

Given:

- The expected rate of return for risky portfolio E(r_p) = 0.18

- The T-bill rate is r_f = 0.08

Find:

Investing proportion y of the total investment budget so that the overall portfolio will have an expected rate of return of 16%.

What is the proportion y?

Solution:

- The proportion y is a fraction of expected risky portfolio and the left-over for the T-bill compliance. Usually we see a major proportion is for risky portfolio as follows:

E(r_c) = y*E(r_p) + (1 - y)*r_f

y*E(r_p) + (1 - y)*r_f = 0.16

- Re-arrange for proportion y:

y = ( 0.16 - r_f ) / (E(r_p) - r_f)

- Plug in values:

y = ( 0.16 - 0.08 ) / (0.18 - 0.08)

y = 0.80

- Hence, we see that 80% of the total investment budget becomes a part of risky portfolio returns.

4 0

3 years ago

Which shows the following expression after the negative exponents have been eliminated? m^7 n^3/ mn^-1 assume m=0 and n=0

aliina [53]

Given expression is $\frac{m^7n^3}{mn^{-1}}$ .

where $m \neq 0, n \neq 0,$

Now we have to simplify this and find the next step so that negative exponent gets eliminated.

We know that when negative exponent changes sign, then it moves from numerator to denominator or from denominator to numerator as shown in the formula:

$x^{-m}=\frac{1}{x^m}$