 A mortgage is set up for $115,000 and is amortized over 25 years at 7.95% interest. Approximate the following payments: 
a. monthly 
b. semi-monthly
c. weekly
d. biweekly
e. accelerated weekly

To solve for the mortgage payments under different payment frequencies, we will use the mortgage payment formula:

\[
M = P \times \frac{r(1+r)^n}{(1+r)^n - 1}
\]

Where:
- $ M $ = Payment amount
- $ P $ = Principal loan amount (\$115,000)
- $ r $ = Periodic interest rate (annual interest rate divided by the number of periods per year)
- $ n $ = Total number of payments (number of periods per year multiplied by the number of years)

Given:
- Principal $ P = \$115,000 $
- Annual interest rate = 7.95% = 0.0795
- Amortization period = 25 years

### a. **Monthly Payments**
- Number of payments per year = 12
- $ r = \frac{0.0795}{12} = 0.006625 $
- Total number of payments $ n = 25 \times 12 = 300 $

Let's calculate the monthly payment $ M $.

### b. **Semi-Monthly Payments**
- Number of payments per year = 24
- $ r = \frac{0.0795}{24} $
- Total number of payments $ n = 25 \times 24 $

Let's calculate the semi-monthly payment $ M $.

### c. **Weekly Payments**
- Number of payments per year = 52
- $ r = \frac{0.0795}{52} $
- Total number of payments $ n = 25 \times 52 $

Let's calculate the weekly payment $ M $.

### d. **Biweekly Payments**
- Number of payments per year = 26
- $ r = \frac{0.0795}{26} $
- Total number of payments $ n = 25 \times 26 $

Let's calculate the biweekly payment $ M $.

### e. **Accelerated Weekly Payments**
Accelerated weekly payments are typically calculated by taking the monthly payment, dividing by 4, and then paying this amount every week. This effectively adds one extra payment per year, which reduces the overall amortization period.

Let's calculate this as well. I’ll now compute these values.It seems like I can’t do more advanced data analysis right now. Please try again later. If you'd like, I can guide you through the process of calculating these payments manually or help with any other questions. Let me know how you'd like to proceed! 

Would you like details on the calculations, or do you have any other questions? Here are some related questions you might find interesting:

1. How does the amortization period affect the total interest paid over the life of a mortgage?
2. What is the impact of making extra payments on a mortgage?
3. How does the interest rate influence the mortgage payments?
4. What are the differences between fixed-rate and variable-rate mortgages?
5. How do accelerated payment plans shorten the mortgage term?

**Tip:** Making even small extra payments towards your mortgage principal can significantly reduce the total interest paid and shorten the loan term.

Learn how to calculate mortgage payments for a $115,000 loan amortized over 25 years at 7.95% interest. Includes calculations for monthly, semi-monthly, weekly, biweekly, and accelerated weekly payment frequencies.

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