1. In order to build a new warehouse facility, the regional distributor for Valco Multi-Position Valves borrowed $1.6 million at 10% per year interest. If the company repaid the loan in a lump sum amount after 2 years, what was (a) the amount of the payment, and (b) the amount of interest?

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Solve the following problems:
1. In order to build a new warehouse facility, the regional distributor for Valco
Multi-Position Valves borrowed $1.6 million at 10% per year interest. If the
company repaid the loan in a lump sum amount after 2 years, what was (a) the
amount of the payment, and (b) the amount of interest?
2. A sum of $2 million now is equivalent to $2.42 million 1 year from now at what
interest rate?
3. In order to restructure some of its debt, General Motors decided to pay off one
of its short-term loans. If the company borrowed the money 1 year ago at an
interest rate of 8% per year and the total cost of repaying the loan was $82 million,
what was the amount of the original loan?
4. How many years would it take for an investment of $280,000 to cumulate to at
least $425,000 at 15% per year interest?
5. Valtro Electronic Systems, Inc. set aside a lump sum of money 4 years ago in
order to finance a plan expansion now. If the money was invested in a 10% per
year simple interest certificate of deposit, how much did the company set aside if
the certificate is now worth $850,000?
6. Two years ago, ASARCO, Inc. invested $580,000 in a certificate of deposit that
paid simple interest of 9% per year. Now the company plans to invest the total
amount accrued in another certificate that pays 9% per year compound interest.
How much will the new certificate be worth 2 years from now?
7. How many years would it take for money to triple in value at 20% per year
simple interest?
8. If Farah Manufacturing wants its investments to double in value in 4; years, what
rate of return would it have to make on the basis of (a) simple interest and (b)
compound interest?
9. What simple interest rate per year would be required to accumulate the same
amount of money in 2 years as 20% per year compound interest?
a. 20.5%
b. 21%
c. 22%
d. 23%
10. Which of the following 1-year investments has the highest rate of return?
(a) $12,500 that yields $1125 in interest,
(b) $56,000 that yields $6160 in interest, or
(c) $95,000 that yields $7600 in interest.
11. At an interest rate of 15% per year, an investment of $100,000 one year ago is
equivalent to how much now?
12. A welding company has extra funds to invest for future capital expansion. If
the selected investment pays simple interest, what interest rate would be required
for the amount to grow from $60,000 to $90,000 in 5 years?
13. To finance a new product line, a company that makes high-temperature ball
bearings borrowed $1.8 million at 10% per year interest. If the company repaid
the loan in a lump sum amount after 2 years, what was
(a) the amount of the payment and (b) the amount of interest?
Transcribed Image Text:Solve the following problems: 1. In order to build a new warehouse facility, the regional distributor for Valco Multi-Position Valves borrowed $1.6 million at 10% per year interest. If the company repaid the loan in a lump sum amount after 2 years, what was (a) the amount of the payment, and (b) the amount of interest? 2. A sum of $2 million now is equivalent to $2.42 million 1 year from now at what interest rate? 3. In order to restructure some of its debt, General Motors decided to pay off one of its short-term loans. If the company borrowed the money 1 year ago at an interest rate of 8% per year and the total cost of repaying the loan was $82 million, what was the amount of the original loan? 4. How many years would it take for an investment of $280,000 to cumulate to at least $425,000 at 15% per year interest? 5. Valtro Electronic Systems, Inc. set aside a lump sum of money 4 years ago in order to finance a plan expansion now. If the money was invested in a 10% per year simple interest certificate of deposit, how much did the company set aside if the certificate is now worth $850,000? 6. Two years ago, ASARCO, Inc. invested $580,000 in a certificate of deposit that paid simple interest of 9% per year. Now the company plans to invest the total amount accrued in another certificate that pays 9% per year compound interest. How much will the new certificate be worth 2 years from now? 7. How many years would it take for money to triple in value at 20% per year simple interest? 8. If Farah Manufacturing wants its investments to double in value in 4; years, what rate of return would it have to make on the basis of (a) simple interest and (b) compound interest? 9. What simple interest rate per year would be required to accumulate the same amount of money in 2 years as 20% per year compound interest? a. 20.5% b. 21% c. 22% d. 23% 10. Which of the following 1-year investments has the highest rate of return? (a) $12,500 that yields $1125 in interest, (b) $56,000 that yields $6160 in interest, or (c) $95,000 that yields $7600 in interest. 11. At an interest rate of 15% per year, an investment of $100,000 one year ago is equivalent to how much now? 12. A welding company has extra funds to invest for future capital expansion. If the selected investment pays simple interest, what interest rate would be required for the amount to grow from $60,000 to $90,000 in 5 years? 13. To finance a new product line, a company that makes high-temperature ball bearings borrowed $1.8 million at 10% per year interest. If the company repaid the loan in a lump sum amount after 2 years, what was (a) the amount of the payment and (b) the amount of interest?
14. If interest is compounded at 20% per year, how long will it take for $50,000 to
accumulate to $86,400?
15. At an interest rate of 10% per year, the equivalent amount of $10,000 one year
ago is closest to:
(a) $8264
(b) $9091 (c) $11,000 (d) $12,000
16. Assume that you and your friend each have $1000 to invest. You invest your
money in a fund that pays 10% per year compound interest. Your friend invests
her money at a bank that pays 10% per year simple interest. At the end of 1 year,
the difference in the total amount for each of you is:
(a) You have $10 more than she does
(b) You have $100 more than she does
(c) You both have the same amount of money
(d) She has $10 more than you do
17. The time it would take for a given sum of money to double at 4% per year
simple interest is closest to:
(a) 30 years (b) 25 years
(c) 20 years (d) 10 years
18. Suppose your city is building a new park, and issues bonds to raise the money
to build it. You obtain a $1,000 bond that pays 5% simple interest annually that
matures in 5 years. How much interest will you earn?
19. If the difference between Simple Interest and Compound Interest on a certain
sum of money in 2 years at 20 % p.a. is Rs. 800, then find the sum.
20. The compound interest on a certain sum of money for 2 years is Rs. 52 and the
simple interest for the same time at the same rate is Rs. 50. Find the rate %.
21. The population of a town has a constant growth of 4% p.a. If its present
population is 62,500, what will be its population after two years?
22. The cost of a new washing machine is Rs. 12000. Its value depreciates every
year at the rate of 10%. What will be its value after three years?
23. James borrowed $600 from the bank at some rate per annum and that amount
becomes double in 2 years. Calculate the rate at which James borrowed the money.
24. Amount of Rs. 12800 was invested by Mr Rohan dividing it into two different
investment schemes A and B at a simple interest rate of 11% and 14%. What was
the amount in plan B if the amount of interest earned in two years was Rs. 3508.
25. The time required for a sum of money to amount to five times itself at 16%
simple interest p.a. will be
Transcribed Image Text:14. If interest is compounded at 20% per year, how long will it take for $50,000 to accumulate to $86,400? 15. At an interest rate of 10% per year, the equivalent amount of $10,000 one year ago is closest to: (a) $8264 (b) $9091 (c) $11,000 (d) $12,000 16. Assume that you and your friend each have $1000 to invest. You invest your money in a fund that pays 10% per year compound interest. Your friend invests her money at a bank that pays 10% per year simple interest. At the end of 1 year, the difference in the total amount for each of you is: (a) You have $10 more than she does (b) You have $100 more than she does (c) You both have the same amount of money (d) She has $10 more than you do 17. The time it would take for a given sum of money to double at 4% per year simple interest is closest to: (a) 30 years (b) 25 years (c) 20 years (d) 10 years 18. Suppose your city is building a new park, and issues bonds to raise the money to build it. You obtain a $1,000 bond that pays 5% simple interest annually that matures in 5 years. How much interest will you earn? 19. If the difference between Simple Interest and Compound Interest on a certain sum of money in 2 years at 20 % p.a. is Rs. 800, then find the sum. 20. The compound interest on a certain sum of money for 2 years is Rs. 52 and the simple interest for the same time at the same rate is Rs. 50. Find the rate %. 21. The population of a town has a constant growth of 4% p.a. If its present population is 62,500, what will be its population after two years? 22. The cost of a new washing machine is Rs. 12000. Its value depreciates every year at the rate of 10%. What will be its value after three years? 23. James borrowed $600 from the bank at some rate per annum and that amount becomes double in 2 years. Calculate the rate at which James borrowed the money. 24. Amount of Rs. 12800 was invested by Mr Rohan dividing it into two different investment schemes A and B at a simple interest rate of 11% and 14%. What was the amount in plan B if the amount of interest earned in two years was Rs. 3508. 25. The time required for a sum of money to amount to five times itself at 16% simple interest p.a. will be
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