doing something with criminal intention.
The balance in the savings account at the end of the 8th year (i.e., after 8 deposits) is $99,256, and the interest earned on the 8 deposits is $27,256
The future value of annuity is a calculation that measures how a good deal a chain of fixed bills might be really worth at a specific date in the future whilst paired with a particular interest price. The word “value” in this term is the coin's potential that a sequence of future payments can gain.
The equation to find future value of the annuity:
Future Value = E ( ( 1 + r)^p - 1 ) / r
E = Annual deposit = $9,000
r = Interest rate = 9%
P = 8 years
FV = Amount available = 9,000 ( 1.09^8 - 1 ) / .09 = $99,256
Interest = 99,256 - 9000 * 8 = $27,256
Future value is the value of a current asset at a future date based on an assumed fee of growth. The future price is vital to investors and economic planners, as they use it to estimate how an awful lot of funding made today may be worth it in the future.
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Answer:
The alternative that should be chosen assuming identical replacement is:
Alternative B.
Explanation:
a) Data and Calculations:
Alternatives:
A B
First Cost $5,000 $9,200
Uniform Annual Benefit $1,750 $1,850
Useful life, in years 4 8
Rate of return 7% 7%
Annuity factor 3.387 5.971
Present value of annuity $5,927.25 $11,046.35
Net cash flow $927.25 $1,846.35
b) Alternative B yields a higher return than Alternative A. Since the two alternatives are based on the same rate of return, Alternative B will bring in a higher annual benefit, even when discounted to the present value.
