Consider the case of the following annuities, and the need to compute either their expected rate of return or duration. Joshua needed money for some unexpected expenses, so he borrowed $6,884.25 from a friend and agreed to repay the loan in six equal installments of $1,400 at the end of each year. The agreement is offering an implied interest rate of . Joshua’s friend, Willie, has hired a financial planner for advice on retirement. Considering Willie’s current expenses and expected future lifestyle changes, the financial planner has stated that once Willie crosses a threshold of $9,221,104 in savings, he will have enough money for retirement. Willie has nothing saved for his retirement yet, so he plans to start depositing $85,000 in a retirement fund at a fixed rate of 6.00% at the end of each year. It will take years for Willie to reach his retirement goal.
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