The lesson introduces simple annuity, defining it as an annuity where the payment interval is the same as the interest period. It also briefly covers general annuities, ordinary annuities, annuity due, annuity certain, and contingent annuity.

This section explains key terms such as the term of an annuity (t), regular or periodic payment (R), future value of an annuity (F), and present value of an annuity (P). It then presents the formulas for calculating the future value and present value of simple ordinary annuities, along with formulas for 'i' (interest rate per period) and 'n' (total number of payments).

The video provides examples to help determine whether a given situation represents a simple or general annuity. The key factor is comparing the payment interval with the interest period. If they are the same, it's a simple annuity; otherwise, it's a general annuity.

This part focuses on identifying if a scenario describes an ordinary annuity (payments made at the end of each interval) or an annuity due (payments made at the beginning of each interval) through examples.

An example demonstrates how to calculate the future value of savings. Mrs. Remoto saves 3,000 every month in a fund with 9% compounded monthly. The calculation for the future value after six months is shown using the previously introduced formula and a scientific calculator.

Another example calculates the future value of savings for a high school graduation. Mary saves 200 pesos at the end of each month for six years, with a 0.25% interest compounded monthly. The step-by-step calculation using the future value formula is demonstrated.

This section applies the present value formula. Rose plans to withdraw 36,000 every three months for 20 years from her retirement account, earning 12% compounded quarterly. The calculation determines how much she needs to deposit at retirement.

The video explains how to calculate the cash price of an item when a down payment is involved, plus installment payments. Mr. Ribaya paid 200,000 as a down payment for a car and will pay 16,200 monthly for five years at 10.5% compounded monthly. The calculation finds the present value of the installments and adds it to the down payment.

This example focuses on calculating the regular annual payment required to settle a loan. Paulo borrowed 100,000 and agrees to annual payments over three years at 8% compounded annually. The formula for regular payment given the present value is used.

The final example calculates the periodic deposit needed to reach a future financial goal. Mr. Ribaya wants to save 500,000 for his son's college education. The calculation determines how much he should deposit every six months over 12 years if the interest is 1% compounded semi-annually.