1. Suppose you have a deposit of 100000 yuan in the bank for five years with an annual interest rate of 7.2% and compound interest once a year. How much money do you have in your account after five years? 2. Suppose you open a savings account in the bank, with a monthly deposit of 500 yuan, a deposit period of 5 years, and a monthly interest rate of 5.25 ‰. How much money do you have in your account after 5 years? 3. Suppose you buy a house in, get 200000 yuan mortgage from the bank, the repayment period is 20 years, the annual interest rate is 8.4%, then how much is your monthly payment?

1. Suppose you have a deposit of 100000 yuan in the bank for five years with an annual interest rate of 7.2% and compound interest once a year. How much money do you have in your account after five years? 2. Suppose you open a savings account in the bank, with a monthly deposit of 500 yuan, a deposit period of 5 years, and a monthly interest rate of 5.25 ‰. How much money do you have in your account after 5 years? 3. Suppose you buy a house in, get 200000 yuan mortgage from the bank, the repayment period is 20 years, the annual interest rate is 8.4%, then how much is your monthly payment?

1. 100000*(1+7.2%)^5=141570.88
2. 500*12*5+500*0.525%*5*12*(5*12+1)/2=34803.75
3. 200000*8.4%/12*(1+8.4%/12)^(20*12)/((1+8.4%/12)^(20*12)-1)=1723.01

The standard answer is as follows: 10000 * (P / A, 10%, 5) * (F / P, 10%, 1) = 41700. Isn't the initial deposit a present value? Why is it multiplied by the final value coefficient of compound interest

The withdrawal amount at the beginning of each year is calculated as the present value, and the sum is the initial principal amount. For example, the withdrawal at the beginning of the first year is the deposit period, 10000, the second year is "withdrawal / (1 + 10%)", the third year is "withdrawal / (1 + 10%) ^ 2", the fifth year is "withdrawal / (1 + 10%) ^ 4", and the sum of all is the principal, 10000

It is expected that 1000 yuan will be withdrawn from the bank at the beginning of each year in five years, with an annual interest rate of 10%. How much yuan should be deposited in the bank at the beginning of the period according to compound interest?

In order to withdraw 1000 yuan from the bank at the beginning of each year in five years, then:
The deposit in the account at the beginning of the fifth year: 1000 yuan;
The deposit in the account at the beginning of the fourth year: 1000 / 1.1 + 1000 = 1000 (1 + 1 / 1.1)
The deposit in the account at the beginning of the third year is: 1000 (1 + 1 / 1.1) / 1.1 + 1000
...
You can calculate the amount that should be deposited in the bank at the beginning of the first year, that is, at the beginning of the first year. I don't know how to input the power of the constant here, so I don't continue to write it down, but I can easily calculate it by hand