For the convenience of discussion, the repayment method of personal housing mortgage loan is defined as fixed monthly repayment (CPM) commonly used at home and abroad, and its repayment formula is:
Pa=Pt×I( 1I)n
( 1I)n
-1Pa: monthly repayment.
Pt: total loan principal I: monthly loan interest rate.
N: repayment month
The borrower needs to pay the premium in one lump sum when applying for a loan, so the total premium is:
St=S 1S2
In which: S 1 is the property insurance premium of the collateral; S2 is the loan insurance premium;
The following describes the process of determining the insurance amount by calculating S 1 and S2. (1) calculate S 1
The insured amount of property insurance consists of the sum of the down payment of the house invested by the borrower and the repaid principal and interest of the bank loan. Therefore, the insurance amount of property insurance should increase month by month with the borrower repaying the loan, forming a arithmetic progression; Let r 1 be the property insurance rate, because the insurance amount changes every month, so the insurance unit is actually calculated on a monthly basis, and the annual rate should be divided by 12 in the specific calculation. Let n 1 be the repayment month, P 1 be the down payment amount, Pn be the monthly repayment amount, and S 1 be the total premium amount.
According to arithmetic progression's summation formula, we can get:
S 1=[Pan 1×(Pnn×Pn)
2
] × r112 (ii) Calculate the loan insurance amount S2.
The insured amount of loan insurance decreases month by month as the borrower repays the bank loan. The insured amount of each period is the loan principal that the borrower still owes to the bank and the overdue loan interest for a certain period. Because the calculation method of overdue loans of the People's Bank of China often changes, in order to simplify the calculation process, the loan interest is not calculated here, only the loan principal is considered, S2 is the loan insurance premium, Pt is the loan principal, and Ptn is the loan principal.
Is the loan principal owed by the borrower to the bank in the nth month, n 1 is the number of repayment months, I 1 is the monthly interest rate, Pa is the monthly repayment amount, and r2 is the insurance premium rate. If the monthly repayment is regarded as an annuity, the present value formula of the N-term annuity is:
P=A
r
× [1-1(1r) n] where p is the residual principal after payment of the nth annuity, a is the annuity of each installment, r is the interest rate of each installment, and n is the number of annuity payments, we can get:
pt 1 = pai 1×[ 1- 1
( 1I 1)n 1
] is the remaining principal of the first phase.
pt2 = pai 1×[ 1- 1
( 1i 1)n 1- 1
] is the remaining principal of the second phase.
pt3 = pai 1×[ 1- 1
(1I 1)n 1-2] Residual principal of the third installment?
ptn 1 = pai 1×[ 1- 1( 1i 1)
] is the remaining principal of n 1.
Let r2 be the loan insurance rate. Because the insurance amount changes every month, the insurance company actually calculates it on a monthly basis. Therefore, the annual rate should be divided by 12 to convert it into a monthly rate.
From geometric progression's formula, we can get:
S2=
six
n
n= 1
Ptk×r2/ 12
= pai 1×n 1×r 1/ 12-pai 1[( 1I)n 1- 1( 1I 1)n 1×I 1
]×r 1/ 12
= { n 1I 1-[( 1I)n 1- 1( 1I 1)×I 12
]}×Pa×r2× 12
It can be seen from this formula that the insured amount of loan insurance is directly proportional to the monthly repayment amount, which is related to the loan term and interest rate.
Pa=Pt×I×( 1I)n 1
( 1I)n 1- 1
We can put
{ n2i 1-[( 1I)n 1- 1( 1I 1)n 1×I 12]}×I 1×( 1I 1)n 1
(1I 1) n 1 is called the insurance amount coefficient. According to this formula, the insurance company can list the relationship table of N 1 and I 1 for the insured to determine the insurance amount, and multiply the loan principal by the insurance amount coefficient and the monthly rate, and the premium can be calculated quickly.
How to calculate the insurance premium of house purchase loan?
Calculation of housing loan insurance premium:
Insurance premium = insured amount (i.e. purchase price) ×0.56%× insurance period.
The scope of mortgaged insurance property is as follows:
1. The insurer shall be liable for the losses and expenses of the insured property caused by the following reasons:
(1) Fire, explosion and water pipe explosion;
(2) Lightning strike, rainstorm, flood, typhoon, storm, tornado, snowstorm, hail disaster, freezing, debris flow, cliff collapse, sudden landslide and sudden ground collapse;
(3) falling objects in the air, and the collapse of external buildings and other fixed objects;
(4) When the above-mentioned disaster or accident occurs, reasonable and necessary rescue measures are taken to prevent its spread, resulting in losses to the insured property;
(5) Reasonable expenses for taking measures to rescue, protect and arrange the insured property in order to reduce losses.
2. The insurer shall not be liable for the loss of the insured property caused by the following reasons:
(1) War, military action or violence;
(2) Nuclear radiation or all kinds of pollution;
③ Earthquake and its secondary disasters;
④ Intentional behavior of the insured or his family members;
(5) The expenses incurred by the insured property due to internal reasons such as design errors, raw material defects, poor workmanship, natural wear and tear, losses caused by normal maintenance, etc.
3. Guarantee period: from the day after insurance 12 (generally from the check-in date) to the termination date agreed in the policy 12.
Excuse me, how is the insurance rate of commercial housing loan calculated? Is there any formula that is still fixed? Urgent?
The answer is as follows:
1. The insurance premium rate of commercial mortgage loans is generally 0.3 ‰-0.5 ‰ per 10,000 yuan (local regulations are slightly different).
2. Calculation formula of loan insurance premium (when the rate is 0.4‰): the loan amount is 0.4‰ and the loan term is 0.4 ‰.
For example, if Mr. Wang borrows 300,000 yuan for 20 years, then: 3,000,000.4 ‰ 20 = 2,400 yuan.
The insurance premium can be refunded. For example, Mr. Wang's original repayment period was 20 years. In the ninth year, he made a one-time repayment in advance and settled the bank loan. At this time, the insurance premium can be refunded according to the actual repayment period. The calculation formula is as follows:
3000000.4‰(20-9)= 1320 yuan.
How to calculate housing loan insurance?
At present, the loan insurance premium is generally charged in proportion to the loan amount. The specific calculation formula is: loan insurance premium = insurance amount × insurance period × annual insurance rate, in which the insurance amount is generally required to be greater than or equal to the loan amount.
How to calculate the insurance cost of housing mortgage loan
There is actually a misunderstanding. What do you think is the relationship between mortgage loan and insurance in cost calculation? The answer is that the two have nothing to do at all. Everyone will apply for insurance after applying for a mortgage.
The calculation standard of insurance premium will also change. The insurance amount will be determined according to the loan amount, and the insurance premium will be determined according to different loan years.
The calculation method of insurance premium is as follows:
Insurance premium = loan amount ÷ 10000× insurance premium per 10,000 yuan corresponding to loan term.
If you apply for a 25-year personal housing commercial loan of 300 thousand.
Then the premium you pay is: (300,000110,000) ×
After the occurrence of an insured accident, the insurer shall calculate the amount of compensation according to the following provisions:
1. Total loss:
When the insured amount is equal to or higher than the insured value, the compensation amount shall not exceed the insured value; For whatever reason, if the insured amount is lower than the insured value, compensation shall be made according to the insured amount.
Second, part of the loss:
When the insured amount is equal to or higher than the insured value, the compensation amount shall be calculated according to the actual loss; For whatever reason, if the insured amount is lower than the insured value, the compensation amount shall be calculated according to the ratio of the insured amount to the insured value.
After part of the losses are compensated by the insurer, the effective insurance amount of the current insurance year should be reduced accordingly, and the effective insurance amount is the balance of the original insurance amount MINUS the compensation amount. If the insured requests to restore the original insurance amount of the current year, he shall pay the corresponding insurance premium and the insurer shall issue an endorsement. Will automatically return to the original insurance amount until the next insurance year.