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In: Finance

A firm purchased some equipment at a price of $150,000. The equipment resulted in an annual...

A firm purchased some equipment at a price of $150,000. The equipment resulted in an annual net savings of $6,000 per year during the 10 years it was used. At the end of 10 years, the equipment was sold for $110,000. Draw a cash-flow diagram that depicts the situation. Assuming an annual effective interest rate of 6.5%, what was the equivalent cost to the company of this transaction on the purchase date?

Solutions

Expert Solution

rate 6.5000%
Cash flows Year Discounted CF= cash flows/(1+rate)^year Cumulative cash flow
        (150,000.00) 0                        (150,000.00)                     (150,000.00)
             6,000.000 1                               5,633.80                     (144,366.20)
             6,000.000 2                               5,289.96                     (139,076.24)
             6,000.000 3                               4,967.09                     (134,109.15)
             6,000.000 4                               4,663.94                     (129,445.21)
             6,000.000 5                               4,379.29                     (125,065.92)
             6,000.000 6                               4,112.00                     (120,953.92)
             6,000.000 7                               3,861.04                     (117,092.88)
             6,000.000 8                               3,625.39                     (113,467.49)
             6,000.000 9                               3,404.12                     (110,063.37)
             6,000.000 10                               3,196.36                     (106,867.02)
        110,000.000 10                             58,599.86                       (48,267.15)

equivalent cost to the company of this transaction on the purchase date = 48,267.15


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