Lesson 31 : Deferred Annuity

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Deferred Annuity

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Deferred Annuity

1 / 10

What is the present value of a deferred annuity of ₱1,500.00 every 3 months for 8 years that is deferred 3 years if money is worth 6% converted or compounded quarterly?

a. ₱ 15,339.25

b. ₱ 18,231.34

c. ₱ 31,699.67

d. ₱ 43,825.32

2 / 10

Melwin availed a loan from the bank that gave him an option to pay ₱ 20,000.00 monthly for 2 years. The first payment is due after 4 months. If the interest rate is 10% converted monthly. What is the present value in the situation?

a. ₱ 422,759.78

b. ₱ 433,655.13

c. ₱ 525,215.16

d. ₱ 625,322.14

3 / 10

Melwin availed a loan from the bank that gave him an option to pay
₱ 20,000.00 monthly for 2 years. The first payment is due after 4 months. If the interest rate is 10% converted monthly. How many numbers of payments are to be done in the situation in question number 7?

a. 16

b. 24

c. 27

d. none

4 / 10

a. 1

b. 2

c. 3

d. 12

5 / 10

What is the period of deferral if semi-annual payments of ₱5,000.00 for 13 years
that will start 4 years from now?

a. 7

b. 8

c. 9

d. 10

6 / 10

Gladys borrows ₱ 400,000.00 at an interest rate of 4% per year compounded semi-annually. She agreed to settle her loan by making 12 semi-annual payments at the end of each six months. If the first payment is made at the end of 2 years, how much is the periodic payment?

a. ₱ 80,756.35

b. ₱ 76,348.25

c. ₱ 40,138.96

d. ₱ 49,165.39

7 / 10

A farmer decided to sell his land and to deposit the fund in a bank. After computing the interest, he learned that he may withdraw ₱ 390,500.00 yearly for 10 years starting at the end of 6 years when it is time for him to retire. How much is the fund deposited if the interest rate is 5% converted annually? What is the present value of the annuity for withdrawal?

a. ₱ 2,005,197.75

b. ₱ 2,344,592.24

c. ₱ 2,362,595.82

d. ₱ 4,215,120.15

8 / 10

a. 4

b. 5

c. 6

d. 10

9 / 10

Which of the following statements DOES NOT refer to annuities?

a. Annuities do not use the pooling technique to spread risk

b. An owner may change the annuity date, the beneficiary, or the settlement option

c. Once the payout period begins, the annuitant receives periodic payments

d. The accumulation period is the period prior to the annuitization date

10 / 10

What is the present value of 10 semi-annual payments of ₱ 2,000.00 if the first payment is due at the end of 3 years and money is worth 8% compounded semi-annually?

a. ₱ 10,330.31

b. ₱ 13,333.13

c. ₱ 15,841.12

d. ₱ 17,332.25

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