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| *The Commerce Journal>>>Investing |
If you require a 9 percent return on your investments,which would you prefer? |
A.) $5,000 today Take the $15,000 five years from now. Assuming a 9% rate of return, we can calculate the net worth of the money in 14 years, which is when you receive the final payment from the yearly $1,000 (assuming that this is year zero). The $5,000 compounds 14 times, and gives us the equation 5000(1.09^14)= $16,708.64. If you take the $15,000, then the interest compounds nine times, and gives the equation 15000(1.09^9)= $32,578.40. Finally, the $1,000 a year gives us the series 1000+1.09u(n-1), assuming u(0)=1000. In this case, u(14)= $29,360.92. Simply put, the $15,000 in five years results in the largest sum of money in fourteen years, and is therefore the best investment choice. What your investment amount? It cant be answered without knowing the principal. 5000 now |
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