Answer:
The value of 
. The figure is also attached below.
Step-by-step explanation:
Considering the expression
If we have to find the vale of 
, then
Therefore, the value of . The figure is also attached below.
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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.
Put it back into the equation,
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Answer:
101 m^3
Step-by-step explanation:
v = π * r^2 * h/3
= π * 4^2 * 6/3
v= 100.53 m^3
v= 101 m^3 to the nearest cubic meter
