A manager has determined that a particular piece of equipment is likely to increase the cash flow of a business by $10,000 for each of the next five years. What is the present value of this equipment at an interest rate of 10%?
Please explain in detail
Cash flow of business rise by $10,000 each year
Rate of interest = 10% = 0.1
Present value of cash flow is determined by = Amount / (1 + rate of interest)Years after which payment is received
Assume first payment is received after the end of first year. Present value of first payment is 10,000 / (1 + 0.1)1 = 9,090,9
Present value of second payment is 10,000 / (1 + 0.1)2 = 8,264.46
Present value of third payment is 10,000 / (1 + 0.1)3 = 7,513.14
Present value of forth payment is 10,000 / (1 + 0.1)4 = 6,830.13
Present value of fifth payment is 10,000 / (1 + 0.1)5 = 6,209.21
Total present value of all cash flows = 6,209.21 + 6,830.13 + 7,513.14 + 8,264.46 + 9,090.9 = 37,907.84
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