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# 6
## 6.1 Mortgage Loan
### 6.1.1 Definitions
- **Down payment: **a percentage of the total cost of the house paid at the time of purchase.
- **Mortgage Loan (*principal*):** the money you borrow.
- **Closing Costs:** fees and taxes paid to complete the purchase.
### 6.1.2 Formulas
- $𝑴𝒐𝒓𝒕𝒈𝒂𝒈𝒆 𝑳𝒐𝒂𝒏=𝑷𝒖𝒓𝒄𝒉𝒂𝒔𝒆 𝑷𝒓𝒊𝒄𝒆 𝑫𝒐𝒘𝒏 𝑷𝒂𝒚𝒎𝒆𝒏𝒕$
- $𝑪𝒂𝒔𝒉 𝑵𝒆𝒆𝒅𝒆𝒅 𝒕𝒐 𝑩𝒖𝒚 𝒂 𝑯𝒐𝒎𝒆=𝑫𝒐𝒘𝒏 𝑷𝒂𝒚𝒎𝒆𝒏𝒕+𝑪𝒍𝒐𝒔𝒊𝒏𝒈 𝑪𝒐𝒔𝒕𝒔$
### 6.1.3 Calculations
- **Interest:**
- **Fixed rate mortgages:** The same rate of interest is paid for the life of the loan.
- **Variable rate mortgages:** The rate of interest is not guaranteed and may be increased or decreased.
- **Mortgage Payment: **Most mortgages are repaid gradually over the life of the mortgage in **equal monthly payments**.
![image-20250415101209378](./assets/image-20250415101209378.png)
- **Amortization Table:** It is a table that shows the monthly payments needed to amortize mortgage loans over different periods of time using different interest rates.
![image-20250415101238756](./assets/image-20250415101238756.png)
- **Refinancing a Mortgage:**
When you refinance a mortgage, you take out a new mortgage and use that money to pay off the old mortgage.
## 6.2 Renting or Owning a Home
- **Depreciation:** It is the ***loss in*** ***value*** of property caused by aging and use.
- **Net Cost for a Home:**
$ Total Expenses Tax Reductions = Net Cost for the First Year$
- **Costs of Property Rental:**
Security deposit is a *one-time* payment in addition to their rent when they sign a lease, or rental agreement.
## 6.3 Property Taxes
- **Property taxes** are taxes on the value of real estate such as homes, business property, or farm land.
The amount of property tax paid is based on the assessed value of a property.
- $Amount to be raised by property tax = Total expense budget Income from other sources$
- **Tax Rates in Mills or Cents per Dollar:** $\frac{\$62}{\$1,000}=\frac{\$0.062}{\$1}$
## 6.4 Property Insurance
- **Homeowners Insurance:**
- A policy that covers your home and protects you against other risks is called ***homeowners*** ***insurance***.
- The amount for which your home is insured is called the ***face value*** of the policy.
- Under ***replacement*** ***cost policies***, the insurance company will pay the cost of replacing your property at current prices.
- **Premium:**
The money paid to an insurance company for property insurance is the ***premium***.
- **Renters Insurance Premiums:**
If you rent a house or an apartment: You can buy a **renters policy** that provides nearly the same coverage as a homeowners policy except for loss of the dwelling and other structures.

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# 7
## 7.1 Life Insurance
1. Calculate life insurance premiums
2. Calculate the net cost of life insurance
3. Calculate the cash and loan values of a life insurance policy
- **Life insurance** is a way of protecting your family from financial hardship when you die.
- **The insured:** the person whose life is covered
- **The insurer:** the insurance company
- **The contract:** states the amount of insurance to be paid upon the death of the insured, or the death benefits of the policy.
- **Beneficiary s:**
When the insured dies, death benefits are paid to the beneficiary. The beneficiary is the person named in the policy to receive the death benefits.
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## 6.1 Mortgage Loan
$𝑴𝒐𝒓𝒕𝒈𝒂𝒈𝒆 𝑳𝒐𝒂𝒏=𝑷𝒖𝒓𝒄𝒉𝒂𝒔𝒆 𝑷𝒓𝒊𝒄𝒆 𝑫𝒐𝒘𝒏 𝑷𝒂𝒚𝒎𝒆𝒏𝒕$
$𝑪𝒂𝒔𝒉 𝑵𝒆𝒆𝒅𝒆𝒅 𝒕𝒐 𝑩𝒖𝒚 𝒂 𝑯𝒐𝒎𝒆=𝑫𝒐𝒘𝒏 𝑷𝒂𝒚𝒎𝒆𝒏𝒕+𝑪𝒍𝒐𝒔𝒊𝒏𝒈 𝑪𝒐𝒔𝒕𝒔$
每个月付款可以查表(表可能不同,具体看表头):
![image-20250415101238756](./assets/image-20250415101238756.png)
## 6.2
**Net Cost for a Home:**
$ Total Expenses Tax Reductions = Net Cost for the First Year$