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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. If $10,000 is scheduled to be paid out 5 years from now, what is the minimum amount we can invest today?
Correct Answer: C
Given Scenario: You need to determine the minimum amount to invest today for a $10,000 payout in 5 years with a 10% interest rate. The problem requires calculating the present value of a future sum. The present value (PV) is calculated using the formula: PV=FV(1+r)nPV = \frac{FV}{(1 + r)^n}PV=(1+r)nFV where FVFVFV is the future value, rrr is the interest rate, and nnn is the number of years. FV=10,000FV = 10,000FV=10,000 r=10%=0.10r = 10\% = 0.10r=10%=0.10 n=5n = 5n=5 PV=10,000(1+0.10)5=10,0001.61051≈6,209PV = \frac{10,000}{(1 + 0.10)^5} = \frac{10,000}{1.61051} \approx 6,209PV=(1+0.10)510,000=1.6105110,000≈6,209