Grade 11 Modules 2021-2022 ABM

General Math (Part 2)

Activity 3: Fill in the blanks

1. A statement with truth values, either true or false but not both, is called a proposition.

2. The conditional proposition p and q is denoted by p —> q read as "if p, then q".

3. Conditional proposition is composed with two statements, the "if p, then q" and the "p implies q"

4. Lastly, a conditional proposition comes in 3 forms namely

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Annuity
a sequence ot payments made at equal (fixed) interval or periods of time.

Payment interval
the time between successive payments.

Deferred annuity
an annuity in which the periodic payment is not made at the beginning not at the end of each payment interval, but some later date.

Example: Mr. Ken paid Php 200,000 as down payment for a car. the
remaining amount is to be settled by paying Php 16,200 each month for
5 years with interests of 10.5% conpounded monthly.

Perpetuities
a series of periodic payments which are to run infinitely or forever.

Term of an annuity (t)
time between the first payment interval and last payment interval.

Regular or Periodic payment (r)
is the amount of each payment.

Amount (Future Value) of an annuity (F)
is the sum of the values of all payments to be made during the future entire term of annuity.

Present Value of annuity, P
is a sum of present values of all
payments to be made during the entire term of annuity.

Cash Value or cash price
down payment (if there is any) plus present value of the annuity.

Simple Annuity
When payments are made at the end of each year and payment interval is the same as the interest period.

General Annuity
an annuity where the payment interval is NOT the same as the interest compounding period.

General Ordinary annuity
a general annuity in which the periodic payment is made at the end of the payment interval.

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Activity 3:

1. Annuity
2. Simple Annuity
3. General Annuity
4. General Ordinary Annuity
5. Term of annuity
6. Regular or periodic payment
7. Amount of an annuity (future value)
8. Present value of an annuity
9. Ordinary annuity
10. Cash flow

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Activity 1:

1. Simple Annuity
2. General Annuity
3. Simple Annuity
4. General Annuity
5. General Annuity

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Deferred Annuity
There are annuities that the series of payments will start on a later date. This type of annuity refers to deferred annuity. A deferred annuity is an annulty that does not begin until a given time interval has passed. The time between the purchase of an annuity and the start of the payments tor the deferred annuity is referred to as pertod of deferral.

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Note: The two payment schemes have the same number of payment n and the same interest rate per period. Their difference is the start of the payments. The first scheme started at the end of the first interval which makes it an ordinary annuity.

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