[Fund Learning] Fund-related calculation topics

1. Calculation of Fund Income

1. Accumulated income/holding income

Cumulative income = position amount - principal
Cumulative yield = ((position amount - principal) / principal)

2. Annualized Return/Annualized Return

Annualized rate of return = ((position amount - principal) / principal) / investment days * 365 × 100%
annualized rate of return = principal × annualized rate of
return Actual return = principal × annualized rate of return × days of investment / 365

3. Change rate

The daily rise and fall of the fund = (current price - closing price of the previous trading day) / closing price of the previous trading day * 100%.

4. Dividends

Fund dividend amount = holding shares * dividend amount per share

Suppose you hold 100,000 shares of a fund, and the current dividend for each fund share is 0.05 yuan

• If you choose the cash dividend method, then Jimin can get a cash dividend of 5,000 yuan;
• If you choose dividend reinvestment, and the net value of the fund share on the dividend base date is 1.25 yuan, then Jimin can get 5,000 yuan ÷ 1.25 yuan per share = 4,000 fund shares, and the fund share becomes 104,000 shares. Since the total assets of the fund decrease due to dividends, the net value of the fund decreases after dividends are distributed.

2. Risk calculation

1. Beta Coefficient

1. When the beta coefficient is less than 0, the price movement direction of the investment portfolio is opposite to the market;
2. When the beta coefficient is greater than 0, the price movement direction of the investment portfolio is consistent with the market;
3. When the beta coefficient is equal to 1, the investment portfolio The range of price change is consistent with the market;
4. When the beta coefficient is greater than 1, the range of price change of the investment portfolio is larger than the market.

2. Volatility

The standard deviation represents the degree to which the entire set deviates from the mean, {8,10,12} and {0,10,20}, the average level is 10, but the data of the latter combination is obviously very different.

The standard deviation of a fund's return is the volatility.

3. Cost calculation

1. Escrow Fees

If the custody fee rate of a fund is 0.25% (per year), and the net asset value of the fund I held yesterday was 10,000 yuan, then the custody fee I should accrue today is 10,000×0.0025/365=0.068 yuan.

2. Management fee

For example, the management fee rate of a fund is 1.5% (per year), and the net asset value of the fund I held yesterday was 10,000 yuan, so the management fee I should accrue today is 10,000×0.015/365=0.41 yuan.

3. Sales service fee

Some public offering funds do not charge subscription fees, but there will be sales service fees, which are calculated in the same way as the above two fees

4. Subscription/redemption fee

I use 10,000 yuan to subscribe for a certain fund, and the subscription fee rate of this fund is 0.15%, so the subscription fee is 10000×0.0015=15 yuan.

An investor redeems 10,000 shares of a certain fund over the counter. Assuming that the net value of the fund share on the redemption day is 1.110 yuan, the corresponding redemption fee rate is 0.75%. The total amount of redemption=10,000×1.110=11,100 (yuan), Fee=11,100×0.75%=83.25 (yuan)