Time Value of Money / Cash Management Products
1. Use this Bankrate’s Simple Savings calculator to complete Scenario 1: http://www.bankrate.com/calculators/savings/simple-savings-calculator.aspx. You will enter the Initial Amount of Savings (Present Value), Annual Interest Rate (Rate of Return), and Number of Periods/Years into the calculator. The calculator will compute the Future Values.
In this scenario you will look at the impact of interest rates on your savings. Suppose that you have $2,000 of savings. You don’t anticipate needing to dip into these funds in the next five years. Based on the information provided in the table, calculate the future value (FV) of $2,000 at the end of years 1 and 5 if it were to be completely invested in each of the different cash management products.
Enter your answers in the indicated cells of the table below. The Restrictions/Fees on Product Usage column relates to question 2 of Scenario 1.
| Product | Annual Interest Rate | Restrictions/Fees on Product Usage | FV at end of Year 1 | FV at end of Year 5 |
| Checking Account | 0.00% | · No minimum
· No limit on withdrawals |
Answer: $2,000
Calculator Inputs: Initial Amount: $2,000 Annual Interest Rate (compounded quarterly): 0.00% Number of Years: 1 |
Answer: $2,000
Calculator Inputs: Initial Amount: $2,000 Annual Interest Rate (compounded quarterly): 0.00% Number of Years: 5 |
| Savings Account | 1.50% | · No minimum
· Limited to 3 withdrawals per month |
Answer: $2,030.17
Calculator Inputs: Initial Amount: $2,000 Annual Interest Rate (compounded quarterly): 1.50% Number of Years: 1 |
Answer: $2,155.47
Calculator Inputs: Initial Amount: $2,000 Annual Interest Rate (compounded quarterly): 1.50% Number of Years: 5 |
| Certificate of Deposit (CD) | 5% | · $500 minimum balance
· Early withdrawal penalty: 180 days of interest plus $25 |
Answer: $2,101.89
Calculator Inputs: Initial Amount: $2,000 Annual Interest Rate (compounded quarterly): 5% Number of Years: 1 |
Answer: $2,564.07
Calculator Inputs: Initial Amount: $2,000 Annual Interest Rate (compounded quarterly): 5% Number of Years: 5 |
2. Based on your calculations and on all you have learned this week, how would you choose to save your $2,000? Consider things such as rate of return, inflation, taxes, liquidity, safety, restrictions, and fees, and explain the rationale for your decision. Respond in at least 50 words.
<Write response here.>
Scenario 2: Time Value of Money / Compounding Interest
3. Use this Bankrate’s Simple Savings calculator to complete Scenario 2: http://www.bankrate.com/calculators/savings/simple-savings-calculator.aspx. You will enter the Initial Amount of Savings (Present Value), Annual Interest Rate (Rate of Return), Interest Compounded, and Number of Periods/Years into the calculator. The calculator will compute the Future Values.
In this scenario you will start with a big deposit and see how interest, compounding, and time will change the balance over time. Suppose that you inherit $10,000 from your late uncle. You save this money and do not deposit any more money to the account. Determine how much money you would have at the end of each of the periods for each of the scenarios in the table below, assuming that you don’t make any withdrawals from the account over the period.
Enter your answers in the indicated cells of the table below:
| Annual Interest Rate | Interest Compounded | FV at the end of Year 5 | FV at the end of Year 10 | FV at the end of Year 30 |
| 2.00% | Annually | Answer: $11,040.81
Enter your inputs: Initial Amount: $10,000 Annual Interest Rate: 2.00% Compounded: Annually Number of Years: 5 |
Answer: $12,189.94
Enter your inputs: Initial Amount: $10,000 Annual Interest Rate: 2.00% Compounded: Annually Number of Years: 10 |
Answer: $18,113.62
Enter your inputs: Initial Amount: $10,000 Annual Interest Rate: 2.00% Compounded: Annually Number of Years: |
| 2.00% | Quarterly | Answer: $11,048.96
Enter your inputs: Initial Amount: $10,000 Annual Interest Rate: 2.00% Compounded:Quarterly Number of Years: 5 |
Answer: $12,207.94
Enter your inputs: Initial Amount: $10,000 Annual Interest Rate: 2.00% Compounded: Quarterly Number of Years: 10 |
Answer: $18,193.97
Enter your inputs: Initial Amount: $10,000 Annual Interest Rate: 2.00% Compounded:Quarterly Number of Years: 30 |
| 8.00% | Annually | Answer: $14,693.28
Enter your inputs: Initial Amount: $10,000 Annual Interest Rate: 8.00% Compounded: Annually Number of Years: 5 |
Answer: $21,589.25
Enter your inputs: Initial Amount: $10,000 Annual Interest Rate: 8.00% Compounded: Annually Number of Years: 10 |
Answer: $100,626.57
Enter your inputs: Initial Amount: $10,000 Annual Interest Rate: 8.00% Compounded: Annually Number of Years: 30 |
| 8.00% | Quarterly | Answer: $14,859.47
Enter your inputs: Initial Amount: $10,000 Annual Interest Rate: 8.00% Compounded:Quarterly Number of Years: 5 |
Answer: $22,080.40
Enter your inputs: Initial Amount: $10,000 Annual Interest Rate: 8.00% Compounded: Quarterly Number of Years: 10 |
Answer: $107,651.63
Enter your inputs: Initial Amount: $10,000 Annual Interest Rate: 8.00% Compounded: Quarterly Number of Years: 30 |
4. Based on your calculations above, explain in your own words the impact of compounding interest.
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