Significant change in the age structure of a population is one example of the impact of the firm's ________.
1 answer:
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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but we were told that $216 was withdrawn at 5 months, hence the balance after one year = 740 - 216 = $524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: c. $81,202
Explanation:
The inflow will be annual and constant which makes it an annuity. Given the discount rate of 12% and a useful life of 8 years, the present value interest discount factor based on the table is = 4.968.
Option 1 present value
= 48,410 * 4.968
= $240,500.88
Option 2 present value
= 50,427 * 4.968
= $250,521.34
Option 3 present value
= 81,202 * 4.968
= $403,412
Option 3 is the closest option with the difference being down to rounding errors. The annual inflow would have to be $81,202 to make the investment in the equipment financially attractive.
