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Cost-Benefit analysis question.
I have a feeling that this question should be easy, but I can't get it. I'm thinking that the benefits is supposed to outweigh the cost, but I keep getting the opposite. Any help?
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I'm not doing the math, but if the costs outweigh the benefits then you shouldn't join the Peace Corps.
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What the hell are the benefits?
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The costs are 105k for the salary/room and board, 8k for the physical and transportation, and 3k for experience. |
what school do you go to?
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Lots of Rape in Peace Corps
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Benefits:
Pay: 30,000 Language benefit: 50,000 Costs: Opp cost of lost job – expenses x 3 years : 105,000 Physical: 8,000 Lifetime pay decrease: 30,000 |
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and the 45k for satisfaction i forgot.
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when you take Macro take the agecon class with Duave instead of the regular econ.
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Cool problem. I'll restate the conditions first.
#1 Peace corps stint would last for 3 years #2 In those 3 years, your food and lodging is paid for, and you would get $10,000 per year. #3 Alternatively, you can forget the peace corps and start working right away. $50,000 per year, minus $15,000 expenses for paying for your own room and board, net $35,000 per year #4 If you join the peace corps, you will receive emotional enjoyment worth the equivalent to you of $15,000 per year in those 3 years. #5 If you join the peace corps, you incur a one-time cost in the first year of $8,000 #6 This condition is worded vaguely. (eg "lifetime pay at 1,000 per year" could mean the present value of your life earnings is reduced by 3,000, or that your starting salary after the peace corps will be 49,000, or that it will be 47,000, or some other interpretation) I decided to assume that after you get back from the peace corps, you will be working for 49,000 per year. #7 You will retire 30 years after you are done with the peace corps, or 33 years from today. So you'll either be working at your job for 30 years or 33 years. #8 If you work for the peace corps, you will gain $50,000 of present value. Join peace corps Year 1: 10k - 8k + 15k + 50k = 67k Years 2 and 3: 10k + 15k = 25k Years 4 through 33: 49k - 15k = 34k Total: 1.137MM Don't join peace corps Years 1 through 33: 50k - 15k = 35k Total: 1.155MM It's very close, but I'm also coming up with no. Since we are including non-monetary "emotional" gains, I don't know that it would be appropriate to evaluate what happens when you introduce an interest rate. (otherwise with the numbers this close and that lump sum for joining the peace corps, there could be some interest rate that makes them equal) Even though you might think the answer "should be" join the peace corps, I wouldn't be surprised if it was no. This seems like a clever way to fool the student into thinking one answer just has to be right and twisting the numbers around to fit that conclusion instead of just doing the math. edit: going back to condition 6, if that merely meant your present value is reduced by 3000, then you should join the peace corps. |
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Peace Corps Benefits
Pay - $30,000 Personal - $15,000 x 3 = $45,000 Language - $50,000 Total Benefits - $125,000 Peace Corps Costs Lost Pay - $35,000 x 3 = $105,000 Physical - $8,000 Lost Lifetime Pay - $30,000 Total Costs $143,000 Become a corporate drone. |
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So I'm thinking that the benefit must have been more than the cost for him to join. Maybe I'm overthinking this. |
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you guys reply fast. I made several corrections to fix some minor errors.
It all boils down to condition 6. If it means you'll be working for 49,000 per year for 30 years, then don't join the peace corps. If it means you merely lose a grand total of $3,000 over your entire working life, then join the peace corps. |
Yeah, the wording on this problem really messes it up.
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condition 6 is screwing this up. I'm now beginning to think it just meant take off 3000 total instead of 1 grand per year (or 30k total). The reason is the word "lifetime". If the question writer wanted to say your salary is reduced to 49,000, then if that word is removed, the intent is much clearer. "lifetime" does not need to be there if that was the intent.
If the question meant to say you'll lose 3,000 over the course of your life, then the value of joining the peace corps is $1.164MM edit: yep, after reading it again I change my mind, I'm going with the alternate interpretation, and I'd make it very clear what I was doing and why. So yes, join the peace corps. |
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It wouldn't make sense to go to the peace corp in question 2 if the benefit was lower than the cost. |
Wait, am I supposed to calculate it for his working career?
Benefits 30,000 peace corp 49,000 per year for 30 years 50,000 french 15,000 per year for 3 years for satisfaction in the peace corps Total= $1,545,000 Costs 50,000 a year for 30 years 8,000 for the transportation and physical 15000 room and board Total = $1,523,000 I have never overthunk a problem like this LMAO |
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Given that and what we said above, I'm getting peace corps = $1,164,000 no peace corps = $1,155,000 edit: I'm sure there's a clean way to divide it between cost/benefit, but thats unintuitive, unnecessary, and more likely to make mistakes. You have two different people, one who joined, and one who did not join. How much will each make? Higher value wins. Simple. |
Emailed a TA. She said that the cost SHOULD outweigh the benefit.
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So all in all do I calculate it for her whole career, or calculate it for 3 years?
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(50k-15k-15k-10k)*3= 30k salary less expenses less annual enjoyment. 30k+8k-50k= -12k representing 30k from above plus physical less french. -12k + (1k*30) = 18k net benefit from going corporate (not factoring in the fact that the extra thousand earned per year should be discounted to determine a present value). |
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I didn't do the net present value thing, but you're right that it's the proper way to do it. Not sure if that's part of the class or not. |
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If the non-peace corps person worked for only 30 years, then the cost becomes small and the peace corps probably wins by a mile. (in that situation, the 1000 per year you are giving up would be immediately made up by your 3-year peace corps salary alone. The enjoyment and french would put you way over the top. The reason why corporate wins is because of the 3 years of net corporate salary you lose) |
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I did the math this way. -40k @ 3 yrs = -120k +15k @ 3 yrs = -75k +15k @ 3 yrs = -30k -8k = -38k -1k @ 30 yrs = -68k +50k = -18k |
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