This document contains 4 math problems involving calculating present values, monthly amortization amounts, accumulated values, and loan lengths for different annuity and loan scenarios with varying interest rates, payment amounts, and time periods. The problems are solved and answers are provided in Philippine Pesos (Php).

1. ANNUITY
Engr. Jordan Ronquillo

2. PROBLEMS
1. What is the present worth of a 3 years annuity paying Php 3,000 at the end of
each year, with interest at 8% compounded annually?
Given:

3. Solution:
𝑷 = Php 7,731. 29 ans

4. PROBLEMS
2. Mr. Juan Dalisay purchased on monthly installment a Php 100,000 worth of
land. The interest rate is 12% nominal and payable in 20 years. What is the
monthly amortization?
Given:

5. Solution:
A = Php 𝟏, 𝟏𝟎𝟏. 𝟎𝟗 ans

6. PROBLEMS
3. What is the accumulated amount of the five year annuity paying Php 6,000 at
the end of each year, with interest at 15% compounded annually?
Given:

7. Solution:
𝑭 = Php 𝟒𝟎, 𝟒𝟓𝟒. 𝟐𝟗 ans

8. PROBLEMS
4. A person borrowed Php 500,000 at an interest rate of 18% compounded
monthly. Monthly payments of Php 12,968.31 are agreed upon. The length of the
loan in months closest to:
Given:

9. Solution:
𝒏 = 𝟓𝟖 𝒎𝒐𝒏𝒕𝒉𝒔 ans

10. Thank you