Answer: Step 1) Find share of market in the Portfolio
(11.5-3.5)x+3.5=6.5
8x=3
x=3/8
x=0.375
=37.5%
SD of market portfolio= 0.375x+0=9.5
x=9.5/0.375
=25.33%
correl = cov / (std 1 * std2)
0.4=COV/0.2533*0.545
COV= 0.2533*0.545*0.4=0.05
cov of 2 assets = b1 * b2 * variance of market
0.05=B1*1*0.2533^2
B of security=0.0032
Capm Model
3.5+0.0032(11.5-3.5)=3.5256% expected return
Explanation:
Step 1) Find the share of market in the portfolio in order to find market SD
Step 2) Find Covariance betweens security and market by using both SDS and correlation
Step 3) Find Beta of Security using Co variance
Step 4) Use the Beta in CAPM model in order to find expected return
Answer:
Residual Income = $6,000
Explanation:
Residual income is the excess income of a firm leftover the opportunity cost of capital or over the desired income.
Given,
The minimum rate of return 12%
Average operating assets = $300,000
Net operating income = $42,000
We know,
Residual Income = Net Operating Income - (Average operating assets x the minimum rate of return)
Residual Income = $42,000 - ($300,000 x 12%)
Residual Income = $42,000 - $36,000
Residual Income = $6,000
Answer:
The correct answer is D: $13
Explanation:
Giving the following information:
Cost per Unit Cost per Period:
Direct materials $ 6.20
Direct labor $ 2.80
Variable manufacturing overhead $ 1.45
Fixed manufacturing overhead $ 12,000
Sales commissions $ 1.00
Variable administrative expense $ 0.55
Fixed selling and administrative expense $ 4,000
Price= 25
Contribution margin= Price - variable costs
Variable costs= direct materials + direct labor + variable manufacturing overhead + sales commissions + variable administrative expense
Variavle costs= 6.20 + 2.80 + 1.45 + 1 + 0.55= $12
Contribution margin per unit= 25 - 12= $13
Answer:
21
Explanation:
Given that:
The utility function U(x, y) = 
The budget line income is:
105=4x +3y
The equation MRTS is:

where;


and:


∴
Using the equation MRTS:



4x = 12y
x = 12y/4
x = 3y
Replacing the value of x into the budget line income, we have:
105 = 4x + 3y
105 = 4(3y) + 3y
105 = 12y + 3y
105 = 15y
y = 105/15
y = 7
Then, from x = 3y
x = 3(7)
x = 21
Thus, she will consume 21 gapefruits
Answer:
Short term loan
Explanation:
Lemonade stand can be regarded as a small business, Hence, the loan that suit the business is " Short term loan".
Short term loan can be regarded as loan that can be obtained to give support to ones personal as well as business capital. It is designed for the needs of small business capital with less interest compare to long term loan. The period of payment is usually within a year. It is of low risk and good profit.