What are the symbols of compound interest present value, compound interest final value, annuity present value and annuity final value

What are the symbols of compound interest present value, compound interest final value, annuity present value and annuity final value

Present value of compound interest, (P / F, I, n)
Final value of compound interest, (F / P, I, n)
Annuity present value, (P / A, I, n)
Final value of annuity, (F / A, I, n)

What is the relationship between discount rate and compound interest final value and compound interest present value?
When the discount rate increases, will the final value of compound interest decrease or increase? What about the present value of compound interest?

The discount rate refers to the annual profitability of the capital as a percentage of the capital principal. It also refers to the value lost when the capital due after one year is converted into the present value, as a percentage
Compound interest is a method of calculating interest
The present value of compound interest is a symmetrical concept of the final value of compound interest, which refers to the value of specific funds at a certain time in the future calculated by compound interest

Ordinary annuity terminal value formula derivation is not clear, can you say more popular, more detailed, thank you
Why multiply (1 + I) & nbsp; why subtract the result of the first formula from the second formula is the final value coefficient of annuity

You didn't learn math well. The two sides of the equation are multiplied by a number at the same time. The equation still holds. Why multiply (1 + I) at the same time? This is to simplify the equation

I don't understand the derivation of the final value formula of annuity
The annual deposit is 1 yuan, and the annual interest rate is 10%. After five years, the final value and annuity of each year can be calculated as follows:
The final value of 1 yuan per year = 1.000 yuan
The final value of 1 yuan 2 years = (1 + 10%) 1 = 1.100 yuan
The final value of 1 yuan in 3 years = (1 + 10%) 2 = 1.210 yuan
The final value of 1 yuan in 4 years = (1 + 10%) 3 = 1.331 yuan
The final value of 1 yuan 5 years = (1 + 10%) 4 = 1.464 (yuan)
Why every year is the previous year multiplied by (1 + 10%)? I don't understand

Are you wrong? The final value of 1 yuan / year = (1 + 10%) × 1 = 1.100 yuan / year = (1 + 10%) ^ 2 × 1 = 1.210 yuan / year = (1 + 10%) ^ 3 × 1 = 1.331 yuan / year = (1 + 10%) ^ 4 × 1 = 1.464 yuan / year = 1.331 yuan / year

On the derivation of the final value formula of annuity
Known derivation process: the final value of an ordinary annuity refers to the sum of the capital and interest of the same amount of income or expenditure at the end of each period in a certain period, that is, the amount of each period is converted to the final value at the end of the last period according to the compound interest, and then added up to be the final value of the annuity
The final value of 1 yuan per year = 1.000 yuan
The final value of 1 yuan 2 years = (1 + 10%) 1 = 1.100 yuan
The final value of 1 yuan in 3 years = (1 + 10%) 2 = 1.210 yuan
The final value of 1 yuan in 4 years = (1 + 10%) 3 = 1.331 yuan
The final value of 1 yuan 5 years = (1 + 10%) 4 = 1.464 (yuan)
The final value of one year and five years is 6.105 yuan
If there are many periods of annuity, it is very cumbersome to calculate the final value with the above method. Because the annual payments are equal, and the coefficient of converting the final value is regular, a simple calculation method can be found
Suppose that the annual payment amount is a, the interest rate is I, and the number of periods is n, then the final annuity value s calculated by compound interest is:
S=A+A×(1+i)+… +A×(1+i)n-1,(1)
The two sides of the equation are multiplied by (1 + I)
S(1+i)=A(1+i)+A(1+i)2+… +A (1 + L) n, (n, etc. are all power) (2)
By subtracting the two sides of the above formula, we can get:
S(1+i)-S=A(1+l)n-A,
S=A[（1+i）n-1]/i
Q: why is the first year 1 instead of 1

Because this is the final value of an ordinary annuity. It is deposited at the end of the first year. Of course, there is no interest. Only the principal will generate interest until the second year, and so on!

Calculation formula of principal
The tax method of deposit interest stipulated by the state is as follows: interest tax = interest * 20%; interest = principal * annual interest rate; the annual interest rate of bank is 2.25%
When Xiao Wang took out the principal and interest due in one year, he paid the interest tax of 4.5 yuan. How much money does Xiao Wang deposit in the bank in one year?

You can calculate it if you bring it into the formula!
Interest = 4.5 / 0.2 = 22.5
Principal = 22.5 ／ 2.25% = 1000 yuan

Can you fill in the score and calculate the formula in excel?
For example, I want 97 / 100, 97 is obtained by adding the numbers above (the formula is = 100 + sum (i15: I24))
However, if you follow the formula "sw14561255" on the first floor and display it in Excel, how do you choose the Function Wizard in the function library first?

=100+SUM(I15:I24)）&"/100"

How to calculate the total score according to the score of each subject in Excel

The first method: manually enter the formula to calculate the total score of A1 to A5, and write "= sum (A1: A9)" in the cell A6 where the total score needs to be filled in. There must be an equal sign, and the symbols are in English
The second method: Insert menu - function - select sum, select A1 to A9 area in the number 1 box, and click OK

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