Question

In: Finance

 Leslie​ Mosallam, who recently sold her​ Porsche, placed $8,600 in a savings account paying annual compound...

 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

Solutions

Expert Solution

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.


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