Question

In: Finance

A laundromat is expected to produce regular annual cash flows of 36,011 dollars with the first...

A laundromat is expected to produce regular annual cash flows of 36,011 dollars with the first regular cash flow expected later today and the last regular cash flow expected in 7 years from today. In addition to the regular cash flows of 36,011 dollars, the laundromat is also expected to produce an extra cash flow of 38,159 dollars in 7 years from today. The cost of capital for the laundromat is 15.01 percent. What is the value of the laundromat?

Solutions

Expert Solution

Given that, first cash flow received today which mean received in year Zero and last cash flow received after 7 year from today means at the end of 7th year .
We can compute value of laundromat by computing present value of future cash flow.
Below table shows computation of present value .
year 0 1 2 3 4 5 6 7
i Regular Cash flow                        36,011        36,011        36,011        36,011        36,011        36,011        36,011        36,011
ii extra cash flow 38,159
iii=i+ii Total cash flow                        36,011        36,011        36,011        36,011        36,011        36,011        36,011        74,170
iv PVIF @ 15.01%                        1.0000        0.8695        0.7560        0.6573        0.5716        0.4970        0.4321        0.3757
v=iv*iii Present value of cash flow                   36,011.00 31,311.19 27,224.75 23,671.64 20,582.25 17,896.05 15,560.43 27,866.28 200,123.59
Hence, valur of Laudromat = 200123.59

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