Homework No.
2
1. Find the annual payments to extinguish a debt of P 10,000 payable in 5 years at 12%.
Answer: P 2,774.10
2. An employee obtained a loan of P 10,000 at the rate of 6% compounded annually in order to build a house. How
much must he pay monthly to amortize a loan within a period of 10 years?
Answer: P 110.24
3. How much money would you have to deposit for 5 consecutive years starting one year from now if you want to
be able to withdraw P 50,000 ten years from now? Assume the interest is 14% compounded annually.
Answer: P 3,928.60
4. A man invests P 10,000 now for the college education of his 2 year old son. If the fund earns 14% effective, how
much will the son get each year starting from his 18th to the 22nd birthday?
Answer: P 20,791.64
5. During the first 10 years of the life of a certain machine the following were spent for its maintenance: During the
first 5 years, P 3,000 was spent each year; during the second 5 years, P 5,000 each year was spent. In addition, P
8,000 was spent for overhauling at the end of the fourth year and P 10,000 also for overhauling at the end of the
ninth year. If money is worth 9% compounded annually, what is the equivalent uniform annual cost for the 10-
year period?
Answer: P 5,388.36
6. A certain annuity pays P 80 at the end of every 3 months for 12 years. If the present value of the annuity is P
1,200 and the accumulated amount is P 2,000 determine the nominal rate.
Answer: 10.67% compounded quarterly
7. An annual deposit of P 1,270 is placed on the fund at the end of each year for 6 years. If the fund invested has a
rate of interest of 5% compounded annually. How much is the worth of this fund at the end of 9 years?
Answer: P 10,000
8. A man owes P 10,000 with interest at 6% payable semi-annually. What equal payments at the beginning of each
6 months for 8 years will discharge his debt?
Answer: P 772.92
9. A farmer bought a tractor costing P 12,000 if paid in cash. The tractor may be purchased by installment to be
paid within 5 years. Money is worth 8% compounded annually. Determine the amount of each annual payment
if all payments are made at the beginning of each year of the 5 years.
Answer: P 2,782.85