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Present Value of Growing Annuity vs Ordinary Annuity

The city of Cincinnati gave up the right to collect parking fees over a 30-year period in exchange for a lump sum of $92 million plus a 30-year annuity of $3 million. Suppose that if the city had not entered into that arrangement, it would have collected parking fees the following year of $6 million (net of operating costs), and those fees would have grown at a steady 3% for the next 30 years. At an interest rate of 4%, what is the present value of the parking revenue that the city could have collected? Using the same 4% to value the payments that the city was set to receive in their privatization deal, do you think that the city made the correct decision? Why or why not?

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Solution Summary

The solution explains how to work out the time value of money that the city of Cincinnati might have earned on parking fees over 30yrs had they not accepted a lump sum payment instead. Attached as a Word document.