Question
2. Explain which information (think in the perspective of TVM) you would need to take into consideration when deciding to receive 5000 today or 5500 one year from today.
Solution
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Answer
To decide whether to receive $5,000 today or $5,500 one year from today, you need to consider the **Time Value of Money (TVM)**. This concept recognizes that money available today is worth more than the same amount in the future due to its potential earning capacity. Here's the information you need:<br /><br />* **Discount Rate (or Opportunity Cost):** This is the key factor. It represents the rate of return you could earn if you invested the $5,000 today. It reflects the potential earning opportunities you forgo by waiting for the $5,500. This could be the interest rate on a savings account, the return on a potential investment, or a company's required rate of return.<br /><br />* **Time Period:** In this case, the time period is one year. This is important because the longer the time period, the more potential earning power the $5,000 has today.<br /><br />**The Decision-Making Process:**<br /><br />1. **Calculate the Present Value of the Future Amount:** You need to determine how much the $5,500 received one year from now is worth in today's dollars. This is done using the present value formula:<br /><br /> Present Value = Future Value / (1 + Discount Rate)^Number of Periods<br /><br /> In this case:<br /><br /> Present Value = $5,500 / (1 + Discount Rate)^1<br /><br />2. **Compare the Present Value to the Current Offer:** Compare the calculated present value of $5,500 with the $5,000 offered today.<br /><br />3. **Make the Decision:**<br /><br /> * **If the Present Value is greater than $5,000:** It's better to wait and receive the $5,500 in one year.<br /> * **If the Present Value is less than $5,000:** It's better to take the $5,000 today.<br /> * **If the Present Value is equal to $5,000:** You are indifferent between the two options. They have the same value to you.<br /><br />**Example:**<br /><br />Suppose your discount rate (opportunity cost) is 10%.<br /><br />Present Value = $5,500 / (1 + 0.10)^1 = $5,000<br /><br />In this case, you would be indifferent between receiving $5,000 today and $5,500 in one year.<br /><br />However, if your discount rate was 5%:<br /><br />Present Value = $5,500 / (1 + 0.05)^1 = $5,238.10<br /><br />In this scenario, it would be better to wait and receive the $5,500 in one year, as its present value is higher than the $5,000 offered today.<br />
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