Question

In: Finance

Problem 10-01 NPV A project has an initial cost of $74,950, expected net cash inflows of...

Problem 10-01
NPV

A project has an initial cost of $74,950, expected net cash inflows of $14,000 per year for 12 years, and a cost of capital of 11%. What is the project's NPV? (Hint: Begin by constructing a time line.) Do not round your intermediate calculations. Round your answer to the nearest cent.

Solutions

Expert Solution

NPV = $15,942.99

Calculations:

Year (n) Cash flows 1+r PVIF = 1/(1+r)^n PV = cash flow * PVIF
0 -                 74,950.00             1.11                                               1.0000 -                         74,950.00
                      1                    14,000.00                                               0.9009                           12,612.61
                      2                    14,000.00                                               0.8116                           11,362.71
                      3                    14,000.00                                               0.7312                           10,236.68
                      4                    14,000.00                                               0.6587                              9,222.23
                      5                    14,000.00                                               0.5935                              8,308.32
                      6                    14,000.00                                               0.5346                              7,484.97
                      7                    14,000.00                                               0.4817                              6,743.22
                      8                    14,000.00                                               0.4339                              6,074.97
                      9                    14,000.00                                               0.3909                              5,472.95
                   10                    14,000.00                                               0.3522                              4,930.58
                   11                    14,000.00                                               0.3173                              4,441.97
                   12                    14,000.00                                               0.2858                              4,001.77
NPV = sum of all PVs                           15,942.99

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