Step-1:Future value of initial deposit | ||||||||
Future value | = | PV | * | (1+i)^n | Where, | |||
= | $ 6,000.00 | * | (1+0.03)^8 | PV | = | $ 6,000.00 | ||
= | $ 6,000.00 | * | 1.26677 | i | = | 3% | ||
= | $ 7,600.62 | n | = | 8 | ||||
Step-2:Balance future value of deposit after year 5 | ||||||||
Total Future value | $ 21,000.00 | |||||||
Future value of initial deposit | $ 7,600.62 | |||||||
Future value of year 5 deposit | $ 13,399.38 | |||||||
Step-3:Value of deposit at year end 5 | ||||||||
Year end 5 deposit | = | FV | * | (1+i)^-n | Where, | |||
= | $ 13,399.38 | * | (1+0.03)^-3 | FV | = | $ 13,399.38 | ||
= | $ 13,399.38 | * | 0.915142 | i | = | 3% | ||
= | $ 12,262.33 | n | = | 3 |
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