Question #180073

 You are a financial advisor. A client of yours wants to know which of the following two options would earn more interest over 10 years: (a) Depositing $50 every month into a savings account with an annual interest rate of 6% compounded monthly, or (b) Depositing $600 every year into a savings account with an annual interest rate of 6%


Expert's answer

Depositing$50

A=50×(1(1.005)120)/.005=4,504A=50\times (1-(1.005)^{-120})/.005=4,504


Depositing$600

A=600×(1(1.06)10)/.06=4,416A=600\times (1-(1.06)^{-10})/.06=4,416


Depositing$50 monthly yields more than depositing$600 yearly by $ 88

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