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Question

66% Wed Apr 47:59 PM a -Katiana C ? | ? secure l https://newconnect.mheducation.com/flow/connect.h.. ? | : × UD padot-1.jpg (12?D fLofJjpg (1167. X Connect Chp 6 Homework Saved Help Save & Exit Submit 2 Check my work 7 John Roberts is 52 years old and has been asked to accept early retirement from his company. The company has offered John three alternative compensation packages to induce John to retire: (FV of $1. PV of $1. FVA of $1. PVA of $1, FVAD of $1 and PVAD of $1) (Use appropriate factor(s) from the tables provided.) 16 points eBook1 $183,000 cash payment to be paid immediately. 2. A 18-year annuity of $19,000 beginning immediately. 3. A 10-year annuity of $53,000 beginning at age 62. Print References Required: Determine the present value, assuming that he is able to invest funds at a 6% rate, which alternative should John choose? Alternative PV John should choose Prev 7of 7

Explanation / Answer

CALCULATION OF THE PRESENT VALUE OF THE ALL ALTERNATIVES OPTION 1: Answer = 1) Present value of the $ 183,000 cash paid immediately have the PV = $ 183,000 Present value = $183,000 Option 2: Present value of the annuity for $ 19,000 paid in beginning of the year years   Cash Flow   PVF @ 6%   Present Value                                1 $                19,000                          1.0000 $                       19,000                              2 $                19,000                          0.9434 $                       17,925                              3 $                19,000                          0.8900 $                       16,910                              4 $                19,000                          0.8396 $                       15,953                              5 $                19,000                          0.7921 $                       15,050                              6 $                19,000                          0.7473 $                       14,198                              7 $                19,000                          0.7050 $                       13,394                              8 $                19,000                          0.6651 $                       12,636                              9 $                19,000                          0.6274 $                       11,921                            10 $                19,000                          0.5919 $                       11,246                            11 $                19,000                          0.5584 $                       10,610                            12 $                19,000                          0.5268 $                       10,009                            13 $                19,000                          0.4970 $                         9,442                            14 $                19,000                          0.4688 $                         8,908                            15 $                19,000                          0.4423 $                         8,404                            16 $                19,000                          0.4173 $                         7,928                            17 $                19,000                          0.3936 $                         7,479                            18 $                19,000                          0.3714 $                         7,056 Total $                   2,18,068 Present Value of the option 2 = $                   2,18,068 Present value of the annuity for $ 53,000 paid in beginning of the year years   Cash Flow   PVF @ 6%   Present Value                                1                          1.0000 $                                -                                2                          0.9434 $                                -                                3                          0.8900 $                                -                                4                          0.8396 $                                -                                5                          0.7921 $                                -                                6                          0.7473 $                                -                                7                          0.7050 $                                -                                8                          0.6651 $                                -                                9                          0.6274 $                                -                              10                          0.5919 $                                -                              11 $                53,000                          0.5584 $                       29,595                            12 $                53,000                          0.5268 $                       27,920                            13 $                53,000                          0.4970 $                       26,339                            14 $                53,000                          0.4688 $                       24,848                            15 $                53,000                          0.4423 $                       23,442                            16 $                53,000                          0.4173 $                       22,115                            17 $                53,000                          0.3936 $                       20,863                            18 $                53,000                          0.3714 $                       19,682                            19 $                53,000                          0.3503 $                       18,568                            20 $                53,000                          0.3305 $                       17,517 Total $                   2,30,890 Present Value of the option 3 = $                   2,30,890 Answer: Alternatives PV 1 $            1,83,000 2 $            2,18,068 3 $            2,30,890 John shoul choose the option 3 becase it have the highest Present value