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Something still feels funny, but I'm unable to articulate my feeling. Therefore: to the best of my ability to explain it, NPV is a flawed metric because it usually involves assuming that everybody is able to borrow or loan money at a standard rate.
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To the best of my estimation, the difference in loans shouldn't make too much of a difference. The professions that have to take out loans -- mostly medicine and law -- are getting pretty good financing on their debt anyway. I'm not familiar with the numbers, but I believe sakky above mentioned that 7% was pretty good, so then it appears that the overall assumptions are unchanged
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<p>I think what you just said right there holds the key to understanding what is wrong with NPV. </p>
<p>Doctors and lawyers probably can borrow at a 7% real rate, hence reliably and risklessly moving 'future' money into the present at that rate. But can I move my present money into the future at that same 7% riskless real rate? No, I cannot. I can invest in equities and perhaps obtain that rate on average. But my return would be uncertain, and therefore risky. I wouldn't really be able to plan how much money I would have at any point in the future, because my equity investment would be risky and therefore subject to great variance. Or, I can invest in highly safe securities, i.e. T-bonds, but then I think it's quite clear that I would not be obtaining a 7% real rate. Maybe 2%. {For example, I see that right now, infation is ~2.5%, and the yield on a 10-year Treasury is about 4.3%, for a real rate of 1.8%.}</p>
<p>See, right there, those numbers illustrate the problem. It is far easier to risklessly move money forward in time than to move it backwards in time. In other words, real-world financial markets are chronologically asymmetric. NPV presumes perfect symmetry. In other words, the person who decides not to go to med school, but instead just gets a job and saves/invests his money, is not going to be able to reliably and risklessly defer his money at a 7% real rate. He can do so only by taking on risk, but NPV presumes no financial risk. </p>
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As for differences in investment skill, let's just say that I think people who do it as a profession are going to be a little better than people who spend all day learning anatomy. If anything this will widen the gap.
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<p>Well, let me put it to you this way. If it really was so easy to find an investment that really did provide a 7% real return, then why would anybody ever put up with the measly returns on US T-bonds? I believe that US T-bonds are the largest single investment security class in the entire country, and perhaps in the entire world. Why are they so popular, if there really is some other investment out there that is just as safe, and offers more than quadruple the real returns? I would think that surely if these investment professionals were smart, they would have found such an investment opportunity by now, if it really existed. </p>
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If those things differ -- say, if a doctor is able to invest more intelligently than an auto mechanic, or if a lawyer is given debt at a lower rate -- then NPV calculations will be thrown off.
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<p>Yes, exactly right. Let me try to explicate further. The NPV method was borne from corporate finance, to calculate the worthiness of projects. One problem with NPV is that it presumes that you can obtain all the funding that you need frictionlessly. For example, let's say that I am running a small business, and I discover a project that is NPV-positive, but that requires a massive initial cash outflow (let's say a trillion dollars for sake of argument). According to NPV theory, the initial payout shouldn't matter at all, as I should still choose the project because it ultimately produces a positive NPV. But of course in the real world, it DOES matter, because before I can even start the project, I need to somehow obtain that trillion dollars in the first place. No company, not even Microsoft, has a trillion dollars in cash just lying around. I would have to go to the financial markets to obtain that financing, yet the fact is, real-world financial markets are not going to just front a small company a trillion dollars at a reasonable interest rate. Heck, they probably wouldn't provide that amount of capital at ANY interest rate. </p>
<p>NPV calculations presume that I can simply "prove" to the markets that my NPV opportunity is so compelling that I really should be able to procure that trillion dollars in financing at a reasonable interest rate. In other words, we have to assume that there are no information problems, and in particular, no asymmetric information problems. In the real world, if I'm a small businessman who claims to have an idea that is worthy of a trillion dollars worth of initial investment, I am going to have a devil of a time getting anybody to believe me. </p>
<p>Now of course, you're probably thinking that a trillion dollars is a ridiculous amount of money. Of course it is, but I choose it to illustrate a point. The fact is, financial markets are riddled with information problems. That's why financiers demand to have corporate control mechanisms whenever they provide financing. For example, if a company applies for a loan of any amount, the bank will usually institute debt covenants to make sure that you don't just abscond with the money. If you are floating a bond, then the bond prospectus will state what restrictions you are placing on yoursef to provide higher confidence that bondowners get their money back (i.e. the collateral they can claim, their claim priority, etc.) If you procure capital through an equity offering, then new equity owners will usually demand voting power and other shareholder rights. None of these tenets would be necessary if not for the information problems inherent in financial markets. </p>
<p>Hence, put another way, again, let's consider person X (who has been admitted to med-school) and person Y (who has not been admitted to med-school). X will take on, say, $200,000 of debt at a 7% real rate. But person Y does not have this financing "opportunity". He can't just go to the bank and ask for $200,000 at a 7% real rate, not without any collateral (and person X wasn't offering any collateral). Y will probably have to pay a much higher real rate to get that kind of loan, or, more likely, won't even be able to get the money at all. In other words, X has a financial "opportunity" that Y simply does not have. </p>
<p>Just like if I'm a small company and I discover a NPV-positive project that requires a billion dollar initial payout, I can't realistically do it, because I can't get the funding. Microsoft has billions of dollars in cash lying around, so they can do it. But I can't. Hence, Microsoft's opportunity set is larger than mine.</p>