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Kristi is considering an investment that will pay $5,000 a year for 7 years, starting one year from today. How much should she pay for this investment if she wishes to earn a 12 percent rate of return?

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Answer:

She should pay $22,819 for this investment.

Step-by-step explanation:

A fix Payment for a specified period of time is called annuity. The discounting of these payment on a specified rate is known as present value of annuity.

Formula for Present value of annuity is as follow

PV of annuity = P x [ ( 1- ( 1+ r )^-n ) / r ]

Where P = Annual payment = $5,000

r = rate of return = 12%

n = number of years = 7 years

PV of annuity = $5,000 x [ ( 1- ( 1+ 0.12 )^-7 ) / 0.12 ]

PV of Annuity = $22,818.78

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