In: Finance
"You have three choices in placing your $14,000 in a bank account today for 9 years. Bank A pays 7.4% compounded annually. Bank B pays 6.82% compounded quatarly. Bank C pays 7.15% compounded continuously. Enter the amount of money that the best option would return after 9 years. There is no inflation."
Bank A | ||
Amount Invested | $ 14,000.00 | |
t= | 9 Years | |
n= | 1 | |
Interest | 7.40% | |
A=P*(1+r/n)^n*t | ||
14000*(1+7.40%)^1*9 | ||
$ 26,617.46 | ||
Amount | $ 26,617.46 | |
Interest | $ 12,617.46 | |
Bank B | ||
Amount Invested | $ 14,000.00 | |
t= | 9 Years | |
n=( n umber of times in year payment) | 4 | |
Interest | 6.82% | |
Quartly Intt=(6.82%/4) | 0.01705 | |
A=P*(1+r/n)^n*t | ||
14000*(1+.01705)^36 | ||
$ 25,730.66 | ||
Amount | $ 25,730.66 | |
Interest | $ 11,730.66 | |
Bank C | ||
P= | $ 14,000.00 | |
r= | 7.15% | |
t= | 9 | Years |
F=(Excel Formula) | 14000*EXP(7.15%*9) | |
Amount | $ 26,643.82 | |
Interest | $ 12,643.82 | |
Amount | Interest | |
Bank A | $ 26,617.46 | $ 12,617.46 |
Bank B | $ 25,730.66 | $ 11,730.66 |
Bank C | $ 26,643.82 | $ 12,643.82 |
Best Option is to deposit amount in Bank C | ||