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.
Answer:
Incomplete question
Complete question;
A group of eight golfers paid $430 to play a round of golf . Of the golfers one was a member and 7 were not.
Another group of golfers consists of two members and one nonmember. They paid a total of $75. What is the cost for a member to play a round of golf, and what is the cost for a nonmember?
Answer: X = $82.695 for members
Y = $49.615 for non members
Step-by-step explanation:
Let's use X to denote members and Y for non-members.
Therefore, amount paid by one member to play + amount paid by 7 non-members to play = 430
X + 7Y = 430. . .1
Amount paid by 2 members to play + amount paid by one non-member to play = 215
2X + Y = 215. . .2
Solving both equations simultaneously
X+7Y = 430
2X +Y = 215
Therefore, from eqn 1. X = 430-7y
Substituting this into wan 2 gives
2(430-7Y) + Y = 215
860-14Y + Y = 215
860-215 =13Y
645 = 13y
Y = 49.615
Therefore substituting Y = 49.615 into any equation above
X + 7(49.615) = 430
X = 430-347.05
X = 82.695
Answer:po6
Step-by-step explanation:
Answer:
the big tank can hold 2027.37 m³of water
10 small tanks can be filled
Step-by-step explanation:
r = 11, h = 16
V = (1/3)πr²h
V = (1/3)121π(16)
1936π/3 = 2027.37
2027.37/200 = 10. 136
10 tanks
Answer:
-4 1/2 or -4.5 or -9/2
Step-by-step explanation:
