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Meadow Brook Manor would like to buy some additional land and build a new assist

ID: 2662358 • Letter: M

Question

Meadow Brook Manor would like to buy some additional land and build a new assisted living center. The anticipated total cost is $23.6 million. The CEO of the firm is quite conservative and will only do this when the company has sufficient funds to pay cash for the entire construction project. Management has decided to save $1.2 million a quarter for this purpose. The firm earns 6.25 percent, compounded quarterly, on the funds it saves. How long does the company have to wait before expanding its operations?

Explanation / Answer

4.32 years

Total Cost of Land and Building $23,600,000 Quarterly Savings Amount $1,200,000 Interest Rate (Compounded quarterly) 6.25% Calculating Number of Periods(Nper) (Using Ms-Excel "Nper" Function): Interest Rate (Rate) [Compounded Quarterly] 0.0625 / 4 Quarterly Savings Amount (PMT) -1,200,000 Total Cost of Land and Building (FV) 23,600,000 Number of Periods (Nper) 17.28 Number of Years (17.28 / 4)   

4.32 years