Which of the following can be an advantage of a limited liability company over an S corporation? a. Double taxation of profits i
2 answers:
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Answer:
The question is not complete, below is the complete question:
Suppose that you open a mutual fund account with a deposit of 500 dollars. 5 months later, the fund balance is 600 dollars, and you withdraw 216 dollars. A year after the account was opened, your balance is X dollars. If the dollar weighted and time weighted rates of return were the same, what is the rate of return? (Assume simple interest for the dollar weighted calculation.) Answer should be a percent!!!
Answer:
The rate of return is 48% on deposited fund.
Explanation:
The rate of return on investment is the percentage increase on an amount invested for a particular period of time, and to calculate this, we will use the simple interest formula:
I = P × R × T
Where:
P = principal = $500
R = rate in decimal ( %rate/100)
T = time = 5 months = 5/12 years
I = interest = Principal - final balance = 600 - 500 = $100
∴ 100 = 500 × R/100 × 5/12
100 =
120,000 = 2500R
∴ R = 120,000 ÷ 2500 = 48%
Therefore rate of return (R) = 48%
For a clearer understanding of the concept of interests, let us calculate for the balance after one year (X) as shown below:
I = P×R×T
T = 1 because, X is the balance after one year.
I = 500 × 48/100 × 1
I = $240
therefore the final amount after one year = interest + principal
= 240 + 500 = 740
but we were told that $216 was withdrawn at 5 months, hence the balance after one year = 740 - 216 = $524
Answer:
a) Y = 500
b) Wages: 2.5
Rental price: 2.5
c) labor Share of output: 0.370511713 = 37.05%
Explanation:
if K = 100 and L = 100
Y = 500
wages: marginal product of labor = value of an extra unit of labor
dY/dL (slope of the income function considering K constant while L variable)
With K = 100 and L = 100
Y' = 2.5
rental: marginal product of land = value of an extra unit of land
dY/dK (slope of the income function considering K variable while L constant)
L = 100 K = 100
Y' = 2.5
c) we use logarithmic properties:
50 was the land while 10 the labor
2.698970004 = 1.698970004 + 1
share of output to labor: 1/2.698970004 = 0.370511713