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At a yearly rate of inflation of 4%, a dollar will have what specific value in 1 year?$0.96$1.04$1.05$0.95

Question

At a yearly rate of inflation of 4%, a dollar will have what specific value in 1 year?

  • $0.96
  • $1.04
  • $1.05
  • $0.95
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Solution

1. ### Break Down the Problem

To find out the specific value of a dollar after one year with a 4% inflation rate, we need to apply the concept of inflation adjustment.

2. ### Relevant Concepts

The formula to adjust for inflation is given by:

Future Value=Present Value×(1Inflation Rate) \text{Future Value} = \text{Present Value} \times (1 - \text{Inflation Rate})

Where:

  • Present Value=1dollar\text{Present Value} = 1 \, \text{dollar}
  • Inflation Rate=0.04\text{Inflation Rate} = 0.04 (4%)

3. ### Analysis and Detail

Applying the formula:

Future Value=1×(10.04) \text{Future Value} = 1 \times (1 - 0.04) Future Value=1×0.96 \text{Future Value} = 1 \times 0.96 Future Value=0.96 \text{Future Value} = 0.96

4. ### Verify and Summarize

The calculations show that after one year, considering 4% inflation, a dollar will have a value of $0.96.

Final Answer

The specific value of a dollar in 1 year at a 4% inflation rate will be $0.96.

This problem has been solved

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