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How is the loan interest calculated?
Recently, a friend asked me that he was going to borrow money from the mobile phone bank. There are repayment methods such as paying interest first, matching principal and interest, and matching principal and interest. I wonder how to calculate the interest.

Take the loan of 6,543,800 yuan as an example, with a term of 654.38+ 0 years (654.38+02 months) and an annual interest rate of 4.6%:

1. If calculated from the absolute amount of interest, the interest on repayment of equal principal is the least.

(1) The method of paying the interest first and then the principal, the interest for one year is 100000 * 4.6%=4600 yuan, the monthly interest is 4600/ 12=383.33 yuan, and the principal due after one year is 100000 yuan.

(2) the average capital method, because the principal is repaid every month, the returned principal no longer bears interest, so the interest paid every month is reduced. Monthly repayment of principal: 654.38+10,000 yuan/12=8333.33 yuan. The interest paid in the first month is 65438+ ten thousand * 4.6%/ 12=383.33 yuan, and the total principal and interest paid in the first month is 8333.3383.33 = 87 16.66 yuan. Interest paid in the second month: (100000-8333.33) * 4.6%/12 = 351.39 yuan, total principal and interest paid in the second month: 8333.35438+0.39 = 8684.72 yuan. By analogy, the annual total interest is 249 1.67 yuan.

(3) Matching principal and interest method, that is, repaying the same amount of loans (including principal and interest) every month, is calculated according to the annuity discount method. Because the calculation process is complicated, it is directly calculated by the loan calculator, and the monthly repayment is 8542.43 yuan, and the annual interest is 2509.38+04 yuan.

2. If calculated from the actual annualized loan interest rate, the actual annualized interest rate after interest is the lowest.

(1) Interest first, then principal: Since the principal is repaid after one year, the principal equivalent to RMB 654.38 million has been used for one year, and the actual annualized interest rate is 4.6% of the nominal interest rate.

(2) With the method of equal principal and interest of average capital, due to the monthly repayment of the principal, the actual use time of the principal of 654.38 million yuan is less than one year. Taking the average capital as an example, the monthly repayment of the principal is 8333.33 yuan. It is equivalent to 8,333.33 yuan for one month, 2 months16,666.67 yuan, 25,000 yuan for three months, and so on. Because the calculation formula of the actual annualized interest rate is complicated, there is no need to enumerate the process. The calculated real interest rate is about twice the nominal interest rate, 4.6%*2=9.2%.

3. Comparison of repayment methods.

(1) Interest before principal: the total interest is the highest (4,600 yuan), the monthly repayment amount is the smallest, the actual annualized rate is the lowest, and the repayment pressure is concentrated in the last period.

(2) Average capital: the total interest is the lowest (249 1.67 yuan), the monthly repayment amount is decreasing, and the actual annualized interest rate is high. If the loan is used for business, it is necessary to measure whether the rate of return is higher than the actual annualized rate.

(3) Equal principal and interest: RMB, with the total interest in the middle (2,509.14 yuan), the monthly repayment amount is equal, and the actual annualized interest rate is high. If the loan is used for business, it is necessary to measure whether the rate of return is higher than the actual annualized rate.

Related questions and answers: How to calculate the loan interest? Calculation method of bank loan interest: Generally, compound interest is calculated on a monthly basis. There are two ways to repay by installments: one is equal principal and interest, and the other is average principal. Short-term debt service can also be paid in one lump sum. Next, the loan bank will repay 60,000 yuan a year (12 months), according to the current annual loan interest rate of 5.3 1% (monthly interest rate: 5.31%12). How to calculate the loan interest: 1. Repay the principal and interest in one lump sum, totaling 60,000 * (1+0.4425%)12 = 63,264.69 yuan. 2. Repayment by installment. Equal repayment of principal and interest. Each installment (monthly) has the same repayment of principal and interest. Monthly repayment amount: [60000 * 0.4425% * (1+0.4425%)12]/[(1+0.4425%)1] 12=6 1739.76 yuan (note: 12 is the power of 12) 3. Installment repayment, equal principal repayment means unequal interest repayment, which is getting less and less. The principal is repaid every month, and the interest is decreasing 16000 yuan. 1 year (12), the monthly repayment of principal is the same: 60000/ 12=5000 yuan, the first month repayment = the first month principal+the first month interest: the repayment amount: 5000+60000 * 0.4225% = 5225%. 0.4225%=5232.38 Third month repayment: 5000+(60000-5000 * 2) * 0.4225% = 521.25, and so on: 5000+[60000-5000]. Interest amount: 6 1725.75 The calculation results are as follows: 1, February 5265.5 (yuan), March 5243.38 (yuan), April 522 1.25 (yuan), 5199.655. 5 132.75 (yuan) August 5 1 10.63 (yuan) September 5088.5 (yuan)10,5066.38 (yuan)/kloc-0. 5022. 13 yuan: loan amount, loan term and loan interest rate = loan amount * loan interest rate * loan term = loan amount * loan interest rate * loan term = loan amount * days * daily interest rate = loan amount * months * monthly interest rate = loan amount * years * annual interest rate = months * 30 days+odd days (. 4 * 30+24 = 1 44 June1day to May 24) Daily interest rate = annual interest rate /360-month interest rate = annual interest rate/12 Relevant laws stipulate that if the loan interest rate exceeds 24%, the law will no longer protect the rights and interests of creditors. If it exceeds 36%, the court will directly rule it invalid. If the amount exceeds 24% and the amount is less than 36%, the debtor can still collect the money without bringing a lawsuit. If the debtor sues, the court will not support the collection. The safety line with the highest loan interest rate is 24%, and the debtor must repay the principal and interest unconditionally. If compared with this safety line, most loan interest rates on the market are not high, at least the products with the highest bank loan interest rate are lower than it. There are also some non-bank loans in the market with relatively high interest rates. Its high interest rate may not be obvious, not in external publicity, but in the actual interest-bearing method. Let me give you an example. Let's see if its interest rate is high or low. According to the public notice, the loan is 6,543,800 yuan, and the monthly repayment is 9,000 yuan, and the repayment is 654.38+ 02, which is cost-effective and the annual interest rate is 8%. Is this interest rate very low? For pure credit loans, the annual interest rate of 8% is already relatively low, and there are certainly lower ones, but the annual interest rate of 8% is definitely not high, which is far from 24%. Is that so? As can be seen from this example, the repayment method is equal principal and interest. The calculation method of 8% is (9000 *12-100000)/100000 = 8%. In fact, this calculation is wrong. Its mistake lies in taking the repaid principal as the denominator for calculating the interest rate. The correct calculation should be that the interest is not calculated according to the repaid principal, but calculated by an equal principal and interest calculator. The loan interest rate of 6,543,800 yuan with a monthly repayment of 9,000 yuan is about 654.38+ 05%.