Answer:
1. Standard quantity of kilograms allowed 2508kg
2. Standard cost allowed for actual output $17,556
3. Materials spending variance $502 Unfavorable
4. Materials price variance $1094Favorable
Materials quantity variance $1596 unfavorable
Explanation:
1. Calculation to determine the standard quantity of kilograms of foam
Standard quantity of kilograms allowed = 0.66*3800
Standard quantity of kilograms allowed =2508kg
2. Calculation to determine the standard materials cost allowed
Standard cost allowed for actual output = 2508kg *7
Standard cost allowed for actual output=$17,556
3. Calculation to determine the materials spending variance using this formula
Material spending variance = Standard cost - Actual cost
Let plug in the formula
Material spending variance= $17,556- $18,058
Material spending variance= $502 Unfavorable
4. Calculation to determine the materials price variance and the materials quantity variance
Material price variance = (7- $18,058/2,736)*2,736
Material price variance = $1094Favorable
Material quantity variance =(2508kg-2,736)*7
Material quantity variance= $1596 unfavorable
Therefore:
1. Standard quantity of kilograms allowed 2508kg
2. Standard cost allowed for actual output $17,556
3. Materials spending variance $502 Unfavorable
4. Materials price variance $1094Favorable
Materials quantity variance $1596 unfavorable
You are analyzing two assets: collectible LEGO sets, and stock of Apple. In the last 5 years, LEGOs have had an annual volatility of 5%, annual return of 6%, and a CAPM beta (the correlation coefficient between the asset and the market risk-premium) of 1.6. Apple has had an annual volatility of 10%, an annual return of 8%, and a CAPM beta of 1.2. Is the following statement true or false?
According to CAPM, Apple has a higher expected return than LEGO.
Answer:
No, Apple has lower rate of return than LEGOs.
Explanation:
Risk free rate is 2% and Market risk is 9%
Expected return can be calculated by :
E(r) = Rf + beta * (Rm - Rf)
E(r) LEGOs = 2 + 1.6 * (9 - 2)
E(r) LEGOs = 13.2%
E(r) Apple = 2 + 1.2 * (9 - 2)
E(r) Apple = 10.4%
You do not start saving money until age 46. On your 46th birthday you dutifully invest $10,000 each year until you finish your deposits when you reach the age of 65 (you make the last deposit on your 65th birthday). The annual interest rate is 8% that you earn on your deposits. Your brother starts saving $10,000 a year on his 36th birthday but stops making deposits after 10 years. He then withdraws the compounded sum when he reaches age 65. How much more money will your brother have than you at age 65?
Answer:
$217,600
Explanation:
The computation of the more money is shown below:
As we know that
The Future value of the annuity is
= P × { (1+r)^n - 1} ÷ r
= $10,000 × (1+.08)^20 - 1) ÷ 0.08
= $457,619.64
For 36 years to 46 years,
FV = $10,000 × (1+.08)^10 - 1) ÷ 0.08
= $144,865.62
Now
FV = PV(1+r)^n
= $144,865.62× (1+.08)^20
= $675,212.47
Now the more amount would be
= $675,212.47 - $457,619.64
= $217592.83
= $217,600