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United Parcel Service, Inc. (Ticker: UPS (Links to an external site.)) estimates its cost for a distribution center at $18.63 million. Management has decided to invest $1.1 million a quarter to fund the project. Assuming that the firm can earn a return of 6.25 percent, compounded quarterly, on its savings, how long does the firm have to wait before expanding its operations

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facundobuzzetti

Answer:

It will take 182.44 quarters to reach $18,630,000.

Explanation:

Giving the following information:

Future Value= $18,630,000

Initial Investment= $1,100,000

Interest rate= 0.0625/4= 0.01563

To calculate the time required to reach the objective, we need to use the following formula:

n= ln(FV/PV) / ln(1+i)

n= ln(18,630,000 / 1,100,000) / ln (1.01563)

n= 182,44

It will take 182.44 quarters to reach $18,630,000.