If the economy is growing, one bitcoin has bigger buying power, then why do not the bitcoin owner hoard the money rather than send it to the bank? You can say the bank will pay for the interest. So the lending cost will be the interest + economic growth rate.
How can economy grow? By investing and developing new things/methods to satisfy human needs. No lending, no investing and as a result, no economic growth (even there is economic growth, this kinds of growth will centralize bitcoin to big monopoly enterprises). The ROI(return on investment) must be bigger than the lending cost. Which means the ROIs must exceed the economic growth rate.
Let's assume there is only one project for the whole world with an ROI 10%. Then if the project can be done by its own money, the ROI of the world will be 10% and so the economy growth will be 10%. So where is the interest?
If there are two projects for the whole world with the same size and ROI 15% 5% each. then the economy growth rate will be 10%. People will expect the 5% project can not pay back the interest and will stop investing in it. as a result, the economy growth rate will be 15%/2=7.5%.
If people are expecting economic growth too high, the required ROI will be too high and few projects can achieve that, which will lead to a frozen in the lending market. A frozen market will lead to the withdraw of industry and is harmful to the society.
So here is the conclusion, fixed money amount is not a good choice.
To be more accurate HARD money is not a good choice, money can be made soft by inflation OR by demurrage as in Freicoin. Both have the effect of lowering interest rates and breaking the cycle you describe. But we feel demurrage is superior for several reasons, first it is universal and constant on every coins and everyone that holds coins, where as inflation must ripple through the economy as prices rise from people bidding them up, a messy process that an easily overshoot. I like to say demurrage moves at the speed of light while inflation moves at the speed of sound.
Second demurrage eliminates the first-spender problem under inflation, when new money comes into existence the first person to spend it enjoys the still low prices before his own activity increases prices. This is even the case if the new money is borrowed as most new money is under our current system, the borrower gets to spend high value money and repay with lower value money. Under demurrage new money is typically given to pensioners or other charitable causes or used to pay for the system overhead costs. Currently Freicoin directs demurrage to mining but we have plans for a PoS based voting system that will direct those funds in the future.
Actually, I think demurrage is a very interesting idea. However, firstly, is it legal or moral to deprive money from its owners? secondly, how to set up the demurrage rate? The rate should be able to push users to spend their money and not push to hard. thirdly, even with the demurrage thing, economy has to develop, as a result, some new products will enter the world and they need money too. If the total amount is fixed, then some other products must lower its value. This will also cause deflation. Imaging you produce A @ 1000BTC in year1 and you produce all of them into your inventory. Then as the shortage of money supply, you have to lower its price to 900BTC in year2. However, your COGM (cost of goods manufactured) is 950BTC in year1. Your inventory price is also 950BTC. So in Year1 you can gain 50BTC revenue but in year2 you will loss 50BTC. This happens to all manufaturing business as they have to buy raw-material first and then produce the product. If the production time is too long, it will be not profitable. The business operators will lose confidence in the production.