In: Finance
Leslie Mosallam, who recently sold her Porsche, placed $8,600 in a savings account paying annual compound interest of 5 percent.
Calculate the amount of money that will accumulate if Leslie leaves the money in the bank for 2 6 and 16 years
Suppose Leslie moves her money into an account that pays 7 percent or one that pays 9 percent Rework part (a) using 7 and 9 percent.
What conclusions can you draw about the relationship between interest rates, time, and future sums from the calculations you just did?
After placing $8,600 in a savings account paying annual compound interest of 5 percent, the amount of money that will accumulate if Leslie leaves the money in the bank for 2 years is
1)
Future value after 2 years = Present value (1 + r)n
Future value after 2 years = 8600 (1 + 0.05)2
Future value after 2 years = 8600 * 1.1025
Future value after 2 years = 9,481.5
Future value after 6 years = Present value (1 + r)n
Future value after 6 years = 8600 (1 + 0.05)6
Future value after 6 years = 8600 * 1.3400956
Future value after 6 years = 11,524.82
Future value after 16 years = Present value (1 + r)n
Future value after 16 years = 8600 (1 + 0.05)16
Future value after 16 years = 8600 * 2.1828746
Future value after 16 years = 18,772.72
2)
7 percent:
Future value after 2 years = Present value (1 + r)n
Future value after 2 years = 8600 + 0.07)2
Future value after 2 years = 8600 * 1.1449
Future value after 2 years = 9,846.14
Future value after 6 years = Present value (1 + r)n
Future value after 6 years = 8600 (1 + 0.07)6
Future value after 6 years = 8600 * 1.5007304
Future value after 6 years = 12,906.28
Future value after 16 years = Present value (1 + r)n
Future value after 16 years = 8600 (1 + 0.07)16
Future value after 16 years = 8600 * 2.9521637
Future value after 16 years = 25,388.61
9 percent:
Future value after 2 years = Present value (1 + r)n
Future value after 2 years = 8600 (1 + 0.09)2
Future value after 2 years = 8600 * 1.1881
Future value after 2 years = 10,217.66
Future value after 6 years = Present value (1 + r)n
Future value after 6 years = 8600 (1 + 0.09)6
Future value after 6 years = 8600 * 1.6771
Future value after 6 years = 14,423.06
Future value after 16 years = Present value (1 + r)n
Future value after 16 years = 8600 (1 + 0.09)16
Future value after 16 years = 8600 * 3.9703059
Future value after 16 years = 34,144.63
There is a direct relationship between future value and time & interest rate. As time and interest rate increases, future value also increases.