Answer: $61,328.15
Explanation:
The amount paid is per year so this is an annuity. It will begin 11 years from now so one should find the present value in that year:
Present Value of annuity = Annuity * ( 1 - ( 1 + rate) ^ - no. of periods) / rate
= 6,260 * ( 1 - ( 1 + 3%) ⁻¹⁷) / 3%
= $82,419.90
That is the present value if the annuity starts 11 years from now which means that it is the present value 10 years from now (ordinary annuities are paid end of period).
You need to discount to current period:
= 82,419.90 / ( 1 + 3%)¹⁰
= $61,328.15
Economic profits (or loss) is defined as the difference between revenues and the opportunity cost forgone. In the current case, the entrepreneur opted to start a business rather than being employed.
Therefore;
Economic profit = Revenues - Opportunity cost
In this problem;
Revenues = $300,000 - $150,000 - $25,000 - $25,000 = $100,000
Opportunity cost = $75,000
Therefore;
Economic profit = $100,000 - $75,000 = $25,000
To present a clear picture of the organization and express its main goal
Answer:
D) Annuity B has both a higher present value and a higher future value than Annuity A
Explanation:
An annuity which pays a fixed sum at the beginning of the period for a number of years is referred to as Annuity Due.
Whereas, an annuity that pays a fixed sum at the end of a period for a number of years is called Deferred Annuity.
Present value of an annuity due is given by:
Present Value = Amount ×
× (1 + r)
In case of an annuity due, the present value would be more since no discounting is required for the first installment and secondly since the number of years of installments get reduced by 1 unlike in the case of a deferred annuity.
Future Value = Amount of annuity (in case of equal amounts )× Cumulative annuity factor at r% invested for n years.
Thus, in the given case, Annuity B will have both higher present value and a higher future value.