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Richard wants to save $100,000 in 12 years. He is offered the following options by his bank: 1. An account with interest rate 4.5% and

Richard wants to save $100,000 in 12 years. He is offered the following options by his bank:

1. An account with interest rate 4.5% and annual compounding

2. An account with interest rate 4.0% and semi-annual compounding

3. An account with interest rate 3.7% and quarterly compounding

Determine how much he must save today to reach his goal in 12 years. Which of the options above would you recommend? Explain your answer.

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