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Fixed monthly investment in 200 yuan, assuming the annual rate of return 12%, and what is the return after 10 years. How is it calculated? Thank you!
Hello, after 10 years, the principal plus income is about 42,000 yuan. The calculation formula is as follows. Can be copied to Excel. Xn = a [1-(1+b) n]/-b where x represents the total amount of * * n years (including income and principal), a represents the amount invested each year (for example, a = 2400 yuan is invested in 200 yuan every month), and b represents income (for example, annual income 15).

I. annualized rate of return

The calculation method of annualized rate of return is to convert the current rate of return (daily rate of return, weekly rate of return, monthly rate of return) into annual rate of return, which is a theoretical rate of return, not an actual rate of return.

Annualized rate of return The annual rate of return converted from the net income per 10,000 fund shares of the Monetary Fund in the past seven days. There are two ways to carry forward money market funds: 1. "Daily dividends are carried forward on a monthly basis", which is equivalent to daily simple interest and monthly compound interest; 2. "Daily dividends are carried forward daily", which is equivalent to daily compound interest.

Two. Overview of annualized rate of return

For example, a wealth management product sold by a bank claims that the annualized rate of return of 9 1 day is 3. 1%, so if you buy 1 ten thousand yuan, the actual interest you can receive is1* 3.1%* 91/30. In addition, it should be noted that the general bank's wealth management products do not bear interest on the same day as bank time deposits, and return the principal and interest at maturity. Wealth management products have subscription period, liquidation period and so on. During this period, no interest is calculated on the principal or only current interest is calculated. For example, if the subscription period of a wealth management product is 5 days, and the period between the maturity date and the principal repayment settlement period is 5 days, then your actual capital occupation is 10 days. The actual annualized rate of return of funds is only 772.88 * 365/(1kloc-0/* 65438+ten thousand) =2.79%. Assuming that the actual annualized rate of return of funds is y, the equation 65438+ million * (9 1+ 10) can be listed. The absolute income is 772.88/65438+ million =0.7728%.

For long-term wealth management products, the subscription period and liquidation period may be negligible, but for short-term wealth management products within 7 days or 1 month, this time has a great impact. For example, a bank's 7-day wealth management product is called annualized rate of return 1.7%, but it needs at least 8 days of funds, 1.7% * 7/8 = 1.48%, which is almost the same as the bank's 7-day notice deposit, and the bank's notice deposit is much more convenient and stable than the general risky wealth management products. Therefore, to look at the annualized rate of return, we should not only look at the declared figures, but also look at the actual income figures.