young man has decided to go into business at the age 40. He wishes to accumulate P 200,000.00 at that age. On his twenty-fifth birthday he deposits a certain amount and will increase the deposit by 10% each year until the fortieth year. If the funds can be invested at 9.6% compounded annually, how much should his initial investment be? ANS. P 3,074.85

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Chapter1: Making Economics Decisions
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A young man has decided to go into business at the age 40. He wishes to accumulate P 200,000.00 at that age. On his twenty-fifth birthday he deposits a certain amount and will increase the deposit by 10% each year until the fortieth year. If the funds can be invested at 9.6% compounded annually, how much should his initial investment be? ANS. P 3,074.85
1. A construction company plans to accelerate the payments on an equipment loan
as production increases. The initial payment is P 10,000 per year and the plan is
to increase the payment beginning in year 2, by an additional P 1,000 each year
through year 10. Determine the equivalent annual payment if the loan interest
rate is 12%.
ANS. P 13,584.65
2. Annual maintenance for a machine are P 1,500.00 this year and are estimated to
increase 10% each year every year. What is the present worth of the
maintenance costs for six years if a.)i = 18%, b.) i = 10%, c.) i = 12%.
ANS. a. P 6445.46, b. P 8181.82, c. P 7685.40
3. A certain end of year cash flows are expected to be P 7,000.00 at the end of the
3rd year, P 9,000.00 at the end of the 4th year, P 11,000.00 at the end of the 5th
year, and P 13,000.00 at the end of the 6th year. Using 15% interest per year,
determine the equivalent a. present worth at the beginning of the first year and b.
uniform annual worth at the end of each year of the 6 years.
ANS. P 20,837.60, AND P 5,506.06
4. A young man has decided to go into business at the age 40. He wishes to
accumulate P 200,000.00 at that age. On his twenty-fifth birthday he deposits a
certain amount and will increase the deposit by 10% each year until the fortieth
year. If the funds can be invested at 9.6% compounded annually, how much
should his initial investment be?
ANS. P 3,074.85
5. Determine the capitalized cost of an expenditure of P 200,000 at time 0, P 25,000
in years 2 through 5, and P 40,000 per year from year 6 onward. Use an interest
rate of 12% per year.
ANS. P 456,940.26
i= 12% per year
1
4
6
7
3.
Transcribed Image Text:1. A construction company plans to accelerate the payments on an equipment loan as production increases. The initial payment is P 10,000 per year and the plan is to increase the payment beginning in year 2, by an additional P 1,000 each year through year 10. Determine the equivalent annual payment if the loan interest rate is 12%. ANS. P 13,584.65 2. Annual maintenance for a machine are P 1,500.00 this year and are estimated to increase 10% each year every year. What is the present worth of the maintenance costs for six years if a.)i = 18%, b.) i = 10%, c.) i = 12%. ANS. a. P 6445.46, b. P 8181.82, c. P 7685.40 3. A certain end of year cash flows are expected to be P 7,000.00 at the end of the 3rd year, P 9,000.00 at the end of the 4th year, P 11,000.00 at the end of the 5th year, and P 13,000.00 at the end of the 6th year. Using 15% interest per year, determine the equivalent a. present worth at the beginning of the first year and b. uniform annual worth at the end of each year of the 6 years. ANS. P 20,837.60, AND P 5,506.06 4. A young man has decided to go into business at the age 40. He wishes to accumulate P 200,000.00 at that age. On his twenty-fifth birthday he deposits a certain amount and will increase the deposit by 10% each year until the fortieth year. If the funds can be invested at 9.6% compounded annually, how much should his initial investment be? ANS. P 3,074.85 5. Determine the capitalized cost of an expenditure of P 200,000 at time 0, P 25,000 in years 2 through 5, and P 40,000 per year from year 6 onward. Use an interest rate of 12% per year. ANS. P 456,940.26 i= 12% per year 1 4 6 7 3.
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