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You’ve just joined the investment banking firm of Dewey, Cheatum, and Howe. They

ID: 2613642 • Letter: Y

Question

You’ve just joined the investment banking firm of Dewey, Cheatum, and Howe. They’ve offered you two different salary arrangements. You can have $85,000 per year for the next two years, or you can have $74,000 per year for the next two years, along with a $30,000 signing bonus today. The bonus is paid immediately, and the salary is paid in equal amounts at the end of each month.

  

If the interest rate is 9 percent compounded monthly, what is the PV for both the options? (Do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.16.)

   

If the interest rate is 9 percent compounded monthly, what is the PV for both the options? (Do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.16.)

Explanation / Answer

Interest Rate per year 9% Interest Rate per month 0.75% Option1 Option2 Per year                              85,000.00                              74,000.00 Per Month                                 7,083.33                                 6,166.67 Statement showing calculation of NPV Option 1 Option 2 Particulars Time in Months PVF@.75% Amount PV(Amount *PVF) Amount PV(Amount *PVF) Cash inflows                                              -                                         1.000                                               -                                 30,000.00                               30,000.00 Cash inflows                                       1.000                                    0.9926                                  7,083.33                                  7,030.60                                  6,166.67                                  6,120.76 Cash inflows                                       2.000                                    0.9852                                  7,083.33                                  6,978.27                                  6,166.67                                  6,075.20 Cash inflows                                       3.000                                    0.9778                                  7,083.33                                  6,926.32                                  6,166.67                                  6,029.97 Cash inflows                                       4.000                                    0.9706                                  7,083.33                                  6,874.76                                  6,166.67                                  5,985.08 Cash inflows                                       5.000                                    0.9633                                  7,083.33                                  6,823.58                                  6,166.67                                  5,940.53 Cash inflows                                       6.000                                    0.9562                                  7,083.33                                  6,772.79                                  6,166.67                                  5,896.31 Cash inflows                                       7.000                                    0.9490                                  7,083.33                                  6,722.37                                  6,166.67                                  5,852.41 Cash inflows                                       8.000                                    0.9420                                  7,083.33                                  6,672.33                                  6,166.67                                  5,808.85 Cash inflows                                       9.000                                    0.9350                                  7,083.33                                  6,622.66                                  6,166.67                                  5,765.61 Cash inflows                                    10.000                                    0.9280                                  7,083.33                                  6,573.36                                  6,166.67                                  5,722.69 Cash inflows                                    11.000                                    0.9211                                  7,083.33                                  6,524.42                                  6,166.67                                  5,680.09 Cash inflows                                    12.000                                    0.9142                                  7,083.33                                  6,475.85                                  6,166.67                                  5,637.80 Cash inflows                                    13.000                                    0.9074                                  7,083.33                                  6,427.65                                  6,166.67                                  5,595.83 Cash inflows                                    14.000                                    0.9007                                  7,083.33                                  6,379.80                                  6,166.67                                  5,554.18 Cash inflows                                    15.000                                    0.8940                                  7,083.33                                  6,332.31                                  6,166.67                                  5,512.83 Cash inflows                                    16.000                                    0.8873                                  7,083.33                                  6,285.17                                  6,166.67                                  5,471.79 Cash inflows                                    17.000                                    0.8807                                  7,083.33                                  6,238.38                                  6,166.67                                  5,431.06 Cash inflows                                    18.000                                    0.8742                                  7,083.33                                  6,191.94                                  6,166.67                                  5,390.63 Cash inflows                                    19.000                                    0.8676                                  7,083.33                                  6,145.85                                  6,166.67                                  5,350.50 Cash inflows                                    20.000                                    0.8612                                  7,083.33                                  6,100.09                                  6,166.67                                  5,310.67 Cash inflows                                    21.000                                    0.8548                                  7,083.33                                  6,054.68                                  6,166.67                                  5,271.14 Cash inflows                                    22.000                                    0.8484                                  7,083.33                                  6,009.61                                  6,166.67                                  5,231.90 Cash inflows                                    23.000                                    0.8421                                  7,083.33                                  5,964.88                                  6,166.67                                  5,192.95 Cash inflows                                    24.000                                    0.8358                                  7,083.33                                  5,920.47                                  6,166.67                                  5,154.29 PV of Cash inflows                             155,048.12                             164,983.07