MATH2
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MATH125: Unit 2 Individual Project
ANSWER FORM
CONSUMER CREDIT
1. Assume you bought new appliances for your newly renovated home. Based on the first letter of your last name, choose the total value of the appliances that you have purchased. This will be denoted by P . It does not necessarily have to be a whole number.
Total value of the appliances, P |
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2. The store where you bought these appliances offered you a provision that if you pay the bill within 2 years, you will not be charged any interest for your purchases. However, if you are even a day late in paying the bill, the store will charge you interest for the 2 years.
Although the annual interest rate is based on your credit worthiness, disregard this on this assignment and instead, choose an interest rate between 22% and 26% . Denote this by r and convert your answer in decimal form .
Annual Interest rate in decimal form, r |
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3. Suppose you forget about the bill and pay it 1 day late. How much interest do you pay if the store charges you simple interest? Because this is a dollar value, round your answer to the nearest cent. (Assume t = 2 years.)
Interest, I |
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Show/Explain your work below
4. How much is your total bill—the total value of the appliances plus the interest? Round your answer to the nearest cent.
Total Bill (Simple Interest) |
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Show/Explain your work below
5. How much is your total bill if, instead, the store charges you interest that is compounded daily? Use 6 digits on your intermediate calculations, and round your final answer to the nearest cent. (Assume t = 2 years.)
Total Bill (Compound Interest) |
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Show/Explain your work below
6. How much interest do you pay if it is compounded daily? Round your answer to the nearest cent.
Interest, I |
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Show/Explain your work below
7. Based on the result of your calculations, write a summary about the difference between simple and compound interest.
Explain your answer below
8. Do you think a deferred billing option is helpful for shoppers? Explain your answer.
Explain your answer below
SAVING FOR RETIREMENT
Suppose your goal is to have a lump sum that you can withdraw when you retire. To accomplish this, you decided to contribute a portion of your paycheck in an annuity.
1. Using the AIU Library or the Internet, read about what kind of expenses you will be faced with when you retire. Write a brief summary of your research.
SUMMARY OF RESEARCH:
2. Based on your research, state the lump sum, in U.S. dollars, that you want to have when you retire. This is the future value of your investment; denote it by F .
Future Value, F |
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3. State the time, in years, that you plan to contribute to your retirement account. Denote this by t .
Time, t |
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4. Based on the first letter of your last name, choose the annual interest rate for your retirement account. It does not necessarily have to be a whole number. Denote this by r , and you will convert this to its decimal form.
Rate, r (in decimal form) |
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5. From the table below, choose how many times per year you want to contribute to your retirement. Denote this by n , and this will also be your compounding period.
Compounding Period, n |
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6. Calculate the interest rate per compounding period, which you will denote by i , by dividing the annual interest rate from #4 by the compounding period from #5:
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Round your answer to 6 decimal places .
Interest Rate per period compounding period, i |
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Show/Explain your work below
7. Your contribution per period, which you will denote by C , to this retirement account is calculated using the following formula:
Contribution Amount, C |
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Show/Explain your work below
8. Calculate your total contribution to this retirement account, which you will denote by TC , by using the formula TC = C x n x t.
Total Contribution, TC |
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Show/Explain your work below
9. What can you say about the difference in value between your total contribution ( TC ) and the lump sum ( F ) that you will receive? Based on what you have learned in this unit, is there a term that is used for this difference?
Explain your answer below
10. Summarize the results of your calculations, and explain why it is important to prepare for your retirement.
Explain your answer below
REFERENCES: