You want to make a one-time deposit today that will increase in value to $100 at the end of this year. Which rate of interest will allow you to deposit the least amount today to reach this goal

The rate of interest is 11.111%

The Deposit should be $90 today.

The future value at the end of this year will be $100.

Explanation:

Future value of $100

Present value of $100 at 11.111% = $100/11.111 = $90

The future value of a deposit today is the value after a period of one year or so periods.  The rate of interest produces the discount factor that can calculate the present value of $100.  To make a one-time deposit of $90 today will increase in value to $100 using an interest rate of 11.111%.

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