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:
Amount received = 217,043.56 (Approx)
Explanation:
Given:
Monthly deposit = $400
Interest rate = 3.2% / 12 = 0.002667 per month
Number of year = 63 year - 35 year = 28 year
Number of period = 28 × 12 month = 336 month
Computation:
![Amount \ received = PMT[\frac{(1+r)^n-1}{r} ]\\\\Amount \ received = 400[\frac{(1+0.002667)^{336}-1}{0.002667} ]\\\\Amount \ received =400[\frac{(1.002667)^{336}-1}{0.002667} ]\\\\Amount \ received =400[\frac{2.44713794-1}{0.002667} ]\\\\Amount \ received =400[\frac{1.44713794}{0.002667} ]\\\\Amount \ received =400[542.608901]\\\\Amount \ received =217,043.56\\\\](https://tex.z-dn.net/?f=Amount%20%5C%20received%20%3D%20PMT%5B%5Cfrac%7B%281%2Br%29%5En-1%7D%7Br%7D%20%5D%5C%5C%5C%5CAmount%20%5C%20received%20%3D%20400%5B%5Cfrac%7B%281%2B0.002667%29%5E%7B336%7D-1%7D%7B0.002667%7D%20%5D%5C%5C%5C%5CAmount%20%5C%20received%20%3D400%5B%5Cfrac%7B%281.002667%29%5E%7B336%7D-1%7D%7B0.002667%7D%20%5D%5C%5C%5C%5CAmount%20%5C%20received%20%3D400%5B%5Cfrac%7B2.44713794-1%7D%7B0.002667%7D%20%5D%5C%5C%5C%5CAmount%20%5C%20received%20%3D400%5B%5Cfrac%7B1.44713794%7D%7B0.002667%7D%20%5D%5C%5C%5C%5CAmount%20%5C%20received%20%3D400%5B542.608901%5D%5C%5C%5C%5CAmount%20%5C%20received%20%3D217%2C043.56%5C%5C%5C%5C)
Amount received = 217,043.56 (Approx)
Answer: It should shot down immediately.
Explanation:
If the market price is equal to average cost at the profit-maximizing level of output, then the firm is making zero profits. If the market price that a perfectly competitive firm faces is below average variable cost at the profit-maximizing quantity of output, then the firm should shut down operations immediately.
