Question

In: Finance

45. Your younger brother has come to you for advice. He is about to enter college...

45. Your younger brother has come to you for advice. He is about to enter college and has two options open to him. His first option is to study engineering. If he does this, his undergraduate degree would cost him $30,000 a year for four years. Having obtained this, he would need to gain two years of practical experience: in the first year he would earn $35,000, in the second year he would earn $40,000. He would then need to obtain his master’s degree, which will cost $35,000 a year for two years. After that he will be fully qualified and can earn $60,000 per year for 30 years.

His other alternative is to study financial accounting. If he does this, he would pay $25,000 a year for four years and then he would earn $50,000 per year for 35 years. The effort involved in the two careers is the same, so he is only interested in the earnings the jobs. provide. All earnings and costs are paid at the end of the year. What advice would you give him, if the market interest rate is 5 percent? (use a financial calculator to find the NPV)

  1. Tell him to choose Engineering since its NPV is $526,611.09
  2. Tell him to choose Financial Accounting since its NPV is $584,905.75
  3. Tell him to choose Engineering since its NPV is $341,155.80
  4. Tell him to choose Financial Accounting since its NPV is $409,205.58
  5. Tell him to choose Engineering since its NPV is $599,134.32

Solutions

Expert Solution

Year cash flow present value of cash flow = cash flow/(1+r)^n r =5% Year cash flow present value of cash flow = cash flow/(1+r)^n r =5%
0 -30000 -30000 0 -25000 -25000
1 -30000 -27210.88435 1 -25000 -23809.52381
2 -30000 -25915.12796 2 -25000 -22675.73696
3 -30000 -24681.07424 3 -25000 -21595.93996
4 35000 28794.58662 4 50000 41135.12374
5 40000 31341.04666 5 50000 39176.30832
6 -35000 -24673.61892 6 50000 37310.76983
7 -35000 -24873.84655 7 50000 35534.06651
8 60000 40610.36172 8 50000 33841.9681
9 60000 38676.53497 9 50000 32230.44581
10 60000 36834.79521 10 50000 30695.66268
11 60000 35080.75735 11 50000 29233.96445
12 60000 33410.24509 12 50000 27841.87091
13 60000 31819.28104 13 50000 26516.06753
14 60000 30304.07718 14 50000 25253.39765
15 60000 28861.02589 15 50000 24050.8549
16 60000 27486.69132 16 50000 22905.5761
17 60000 26177.80126 17 50000 21814.83438
18 60000 24931.23929 18 50000 20776.03274
19 60000 23744.03742 19 50000 19786.69785
20 60000 22613.36897 20 50000 18844.47414
21 60000 21536.54188 21 50000 17947.11823
22 60000 20510.99227 22 50000 17092.49355
23 60000 19534.27835 23 50000 16278.56529
24 60000 18604.07462 24 50000 15503.39551
25 60000 17718.1663 25 50000 14765.13858
26 60000 16874.4441 26 50000 14062.03675
27 60000 16070.89914 27 50000 13392.41595
28 60000 15305.61823 28 50000 12754.68186
29 60000 14576.77927 29 50000 12147.31605
30 60000 13882.64692 30 50000 11568.87243
31 60000 13221.56849 31 50000 11017.97375
32 60000 12591.96999 32 50000 10493.30833
33 60000 11992.35238 33 50000 9993.62698
34 60000 11421.28798 34 50000 9517.739981
35 60000 10877.41712 35 50000 9064.514268
36 60000 10359.44488 36 50000 8632.870731
37 60000 9866.137978 37 50000 8221.781649
38 60000 9396.321884 38 50000 7830.268237
Net present value sum of present value of cash flow 567672.2397 Net present value sum of present value of cash flow 614151.0331
1- false as npv of accounting is higher than engineering
2- TRUE
3- FALSE
4- FALSE
5- FALSE

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