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General Mathematics
Your family is planning to apply for a loan to purchase a car.
You offered by lending corporation the following information
regarding the amount you will be borrowing.
Option 1: A monthly payment of P23,500 for three years
Option 2: A monthly payment of P14,600 for five years
Solution:
Given: P = 1,000,000 i = 0.07 n = 1
F = P(1+i)n
F = 1,000,000(1 + 0.07) = 1,070,000
An amount of P1,070,000 must be paid after one year.
Solution:
Given: P = 1,200,000 Monthly payment = 31,000
Find: Total Interest
Total Amount = (31,000)(12)(5) = 1,860,000
Solution:
Total Interest = 1,860,000-1,200,000 = 660,000
The total amount of interest is P660,000
Solution:
Down payment = (Down payment rate) x (cash price)
= (0.02)(3,000,000) = 600,000
Amount of the Loan = (cash price) - (down payment)
= 3,000,000 – 600,000 = 2,400,000
The mortgage amount is P2,400,000
Solution:
Given: A = 400,000 r = 0.09 m =12
i = 0.09/12 = 0.005 n = (12)(3) = 36
Find: the regular payment R
Using the formula 𝑅 =
𝐴𝑖
1− 1+𝑖 −𝑛
Solution:
𝑅 =
𝐴𝑖
1 − 1 + 𝑖 −𝑛
=
(400,000)(0.0075)
1 − 1 + 0.0075 −36
= 12,719.89
The monthly payment is P12,719.89
THANK YOU
www.slideshare.net/reycastro1
@reylkastro2
reylkastro

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Basic concept of business and consumer loans

  • 2.
  • 3. Your family is planning to apply for a loan to purchase a car. You offered by lending corporation the following information regarding the amount you will be borrowing. Option 1: A monthly payment of P23,500 for three years Option 2: A monthly payment of P14,600 for five years
  • 4.
  • 5.
  • 6.
  • 7.
  • 8.
  • 9.
  • 10.
  • 11.
  • 12. Solution: Given: P = 1,000,000 i = 0.07 n = 1 F = P(1+i)n F = 1,000,000(1 + 0.07) = 1,070,000 An amount of P1,070,000 must be paid after one year.
  • 13.
  • 14. Solution: Given: P = 1,200,000 Monthly payment = 31,000 Find: Total Interest Total Amount = (31,000)(12)(5) = 1,860,000
  • 15. Solution: Total Interest = 1,860,000-1,200,000 = 660,000 The total amount of interest is P660,000
  • 16.
  • 17. Solution: Down payment = (Down payment rate) x (cash price) = (0.02)(3,000,000) = 600,000 Amount of the Loan = (cash price) - (down payment) = 3,000,000 – 600,000 = 2,400,000 The mortgage amount is P2,400,000
  • 18. Solution: Given: A = 400,000 r = 0.09 m =12 i = 0.09/12 = 0.005 n = (12)(3) = 36 Find: the regular payment R Using the formula 𝑅 = 𝐴𝑖 1− 1+𝑖 −𝑛
  • 19.
  • 20. Solution: 𝑅 = 𝐴𝑖 1 − 1 + 𝑖 −𝑛 = (400,000)(0.0075) 1 − 1 + 0.0075 −36 = 12,719.89 The monthly payment is P12,719.89
  • 21.
  • 22.