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Money is value. Having money when you need it is very important. Money can also be valuable when used wisely by knowing when to spend and when to conserve Also, planning now for future expenses can be a plus to the company rather than a debit. There are several ways to capitalize money and spending. Basically there is the single payment method that has a compound amount factor and a present worth factor. There is the uniform annual series that has a sinking fund factor, capital recovery factor and also the compound amount factor and present worth factor. At this point, we can assure money is worth 10%. The following question requires your selection of CCC/CCE Scenario 7 (4.8.50.1.1) from the right side of your split screen, using the drop down menu, to reference during your response/choice of responses. Five years from now it is required the company have $100,000. How much money should be invested at the end of each year to reach this?
Correct Answer: A
Given Scenario: The company needs to have $100,000 in five years, and you need to determine how much should be invested at the end of each year. This involves calculating the annuity payment using the formula: P=FV×r(1+r)n-1P = \frac{FV \times r}{(1 + r)^n - 1}P=(1+r)n-1FV×r where: FV=100,000FV = 100,000FV=100,000 r=0.10r = 0.10r=0.10 n=5n = 5n=5 P=100,000×0.10(1+0.10)5-1=10,0000.61051≈15,937P = \frac{100,000 \times 0.10}{(1 + 0.10)^5 - 1} = \frac{10,000}{0.61051} \approx 15,937P=(1+0.10)5-1100,000×0.10=0.6105110,000≈15,937