An investment made in the stock market decreased at a rate of 4% per year for 5 years. What is the current value of the $1,000,000 investment? Include your calculations in your final answer.
Include your calculations in steps
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geez - this about the 10th similar problem you have posted.
Have you no work of your own to show by now?
We can check your answer, but you need the practice, not we.
To find the current value of the $1,000,000 investment after 5 years of decreasing at a rate of 4% per year, follow these steps:
Step 1: Calculate the rate of decrease.
Since the investment decreases at a rate of 4% per year, the rate of decrease can be expressed as 1 - 4% = 1 - 0.04 = 0.96.
Step 2: Calculate the value after each year.
Year 1: $1,000,000 * 0.96 = $960,000
Year 2: $960,000 * 0.96 = $921,600
Year 3: $921,600 * 0.96 = $884,736
Year 4: $884,736 * 0.96 = $849,346.56
Year 5: $849,346.56 * 0.96 = $815,372.88
Therefore, the current value of the $1,000,000 investment after 5 years of decreasing at a rate of 4% per year is $815,372.88.
To calculate the current value of the investment, we need to apply the rate of decrease to the original investment amount for each year.
Step 1: Calculate the rate of decrease per year
The investment decreases at a rate of 4% per year. Since it is a decrease, we need to subtract 4% from 100% to get the actual value that remains each year:
Decrease rate = 100% - 4% = 96% (expressed as 0.96 in decimal form)
Step 2: Calculate the value after each year
We need to apply the decrease rate to the investment amount for each year. Since the decrease is constant, we can calculate the value after 5 years by raising the decrease rate to the power of 5:
Value after 5 years = $1,000,000 * (0.96)^5
Step 3: Perform the calculation
Use a calculator or a spreadsheet program to calculate the value after 5 years based on the given formula:
Value after 5 years = $1,000,000 * (0.96)^5 ≈ $815,372.03
The current value of the $1,000,000 investment after 5 years is approximately $815,372.03.