1, annualized income of 30%, 10000 yuan principal, interest of 3000 yuan for one year and 9000 yuan for three years. * * * 19000 yuan (high interest rate)

2. Collect 30% of the principal for three years, that is, the principal 10000 yuan, and the interest for three years is 3000 yuan. The annualized rate of return = 3000/ 10% is calculated by converting the current rate of return (daily rate of return, weekly rate of return and monthly rate of return) into annual 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 fund income: 1. Dividends are carried forward on a daily 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. 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%. [ 1]

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.

Seven-day annualized rate of return

Under different income carry-over methods, the calculation formula of seven-day annualized rate of return should also be different. There are two ways to carry forward the income of money market funds. One is to pay dividends on a daily basis and carry them forward on a monthly basis, which is equivalent to daily simple interest and monthly compound interest; The other is daily dividend, which is carried forward on a daily basis, equivalent to daily compound interest, in which the formula for calculating simple interest is: (∑ ri/7) × 365/10000 ×100%, and the formula for calculating compound interest is: (∏ (1+ri/650).

It can be seen that the 7-day annualized rate of return is calculated according to the 7-day income, and the 30-day annualized rate of return is calculated according to the latest 1 month income.

The establishment of this index is mainly to provide investors with more intuitive data for investors to refer to when comparing the income of money funds with other investment products. In this indicator, the rate of return in the last seven days is determined by seven variables, so the same income in the last seven days does not mean that the net income per 10,000 fund shares in the seven times used for calculation is exactly the same. Quantitative formula

Summary: Investors put the principal C into the market, and its market value becomes V after time t, so in this investment:

1, and the return is: p = v-c.

2. The rate of return is: K=P/C=(V-C)/C=V/C- 1.

3. The annualized rate of return is:

(1) y = (1+k) n-1= (1+k) (d/t)-1or

(2)y=(v/c)^n- 1=(v/c)^(d/t)- 1

Where N=D/T represents the number of repeated investments by investors within one year. D stands for the effective investment time of one year, with bank deposits, bills and bonds being D=360 days, stocks and futures being 250 days, and real estate and industry being D=365 days.

4. In the case of continuous multi-period investment, y = (1+k) n-1= (1+k) (d/t)-1.

Where: K=∏(Ki+ 1)- 1, T=∑Ti.

Conclusion "