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What are the alternatives to compound interest for a Muslim?
I cannot tell you what is or is not allowed under Islamic law. What I can tell you is that when most investors talk about the "power of compound interest," they are not actually necessarily talking about interest! The idea of the magic of compound interest is that when you receive an interest payment on your investment, you now have a larger investment, earning more interest. Your investment grows exponentially. This doesn't just apply to interest payments, however, but can apply to any type of investment where the profits of the investment cause the investment to get larger.  For example, if you invest in a company's stock, and the value of the stock goes up 10% in a year, after that year your investment is worth more than it was at the beginning. If it goes up another 10% the following year, you have gained more money in the second year than you did in the first. Your gains are compounding, even though interest payments are not involved at all. The same is true if you reinvest dividends or if you use business profit to expand your business, for example.  The term "power of compound interest" is so named for historical reasons, but really applies to any type of investment where the investment itself is growing.