I don't agree.
Well, your calculation isn't very accurate... it swings way over to the conservative side.
Your comfort level drops the moment one of your loans falls into a late category.
What does that have to do with statistics and math?
The first thing that happens when you go into the account screen and you see a new loan is get tagged with <15 is: "WTF?!?! GODDAMMIT!" or in the case of the older lenders (on account age, not your actual age)... a groan or a sigh.
Actually, I just shrug my shoulders... on a bad day. These days I don't much care; it's merely an experiment that I am conducting. I get more emotion from busting out of a poker tournament than I do a Prosper borrower.
On AA's, the chances of 100% of loans entering some sort of derogatory status through the life of the loan is 9%. That statistic is based on all known loans to date. Going forward that statistic could change, but that's the number we have to work with.
Well, we all know that past performance is no guarantee of future returns, don't we? And I don't agree with your philosophy that the number we have to work with is the only number we will use... that thinking got us into the subprime housing mess, didn't it? The ability to think beyond the historical data and make accurate predictions is what separates the winners from the losers.
Does that mean charging a 4.75% APR will guarantee a yield of 0%? No, because the rate at which AA is going to default and go late in the future can change, but it's not going to change dramatically.
What, pray tell, makes you so certain of that? The rates of default on AA loans are much higher than the Experian numbers that were thrown about early in the ball game. Yes, those numbers applied to a different product, but my gut feeling was that the Experian numbers were going to be "close enough" for our purposes. IIRC, Experian forecasted default rates of 0.3% for AA borrowers. It looks like they were off by a factor of 30, no? My question is why you think the 9.09% number won't change much going forward. I can't prove it will, but I'm not willing to assume it won't either.
Of course, it's better for you if your loss occurs late into the loan, especially near payment #23, when you've collected enough interest payments to make up for the loss in principal... however that does not mean you actually recovered. What actually happened was that your money was held "in limbo" during that entire time when it could have been put into more useful securities that would actually yield a return, and hopefully at a rate faster than the rate of inflation.
That is the time-value of money. If rampant inflation occurs during the life of your fixed rate note, your borrower prospers while you as a lender suffer. Assuming the borrower is able to climb the inflation ladder upwards by increasing his or her wages, the payment becomes less trivial to the borrower whereas the profit gains, the value of the money earned by the lender, diminishes.
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