## iyasnyas 3 years ago You find that a small business loan in the amount of 50,000 is the amount you need to purchase the restaurant location. After researching banks to find the best interest rate, you find that banks for small businesses offer the best interest rate of 9% interest that compounds monthly for 7 years. 1.What is the monthly payment for this loan? 2.Show the formula that you used and the values used for each variable to calculate the monthly payment. 3.What is the unpaid balance of the loan at the end of the 1st year? 4.Show the formula that you used and the values used for each variable to ca

1. iyasnyas

2. benice

so 9% is the yearly rate... we must find the monthly rate

3. benice

\[(1+im/12)^{12}=1+i\]

4. benice

where im is the monthly interest rate and i is yearly rate

5. benice

so using a bit of math\[((1+i)^{1/12}-1)12=im\]

6. benice

0.0864878798=im

7. benice

do you understand it... my bad for the firstanswer i gave you.. its been a while..

8. iyasnyas

yes

9. benice

\[50k=PM \div[(1+im)^{1/12}+(1+im)^{2/12}......(1+im)^{84/12}]\]

10. benice

where pm is the monthly payment... so you have 72 payments bring the back to the present vcalue using "net present value" all of which are the same value