Math Problem Statement
. Roy purchased 4,000 shares of Ernst stock for $148,920 one year ago. The stock pays annual dividends of $0.35 a share. Today, he sold all of his shares for $42.78 a share. What is his total return on this investment?
Solution
To calculate Roy's total return on his investment, we need to account for both the capital gain (or loss) from selling the stock and the dividends he received during the year. Here's how to compute it step-by-step:
Step 1: Calculate the initial purchase price
Roy bought 4,000 shares for a total of $148,920, so the purchase price per share is:
Step 2: Calculate the total selling price
Roy sold all 4,000 shares for $42.78 each, so the total amount he received from selling the shares is:
Step 3: Calculate the capital gain
The capital gain (or loss) is the difference between the selling price and the purchase price:
Step 4: Calculate the dividend income
Roy received annual dividends of $0.35 per share. Therefore, his total dividend income for the year is:
Step 5: Calculate the total return
Roy's total return includes both the capital gain and the dividend income. Therefore, his total return is:
Thus, Roy's total return on his investment is $23,600.
Would you like more details or have any questions?
Here are 5 related questions you might find interesting:
- How can the percentage return on Roy's investment be calculated?
- What happens to the total return if the dividend is increased to $0.50 per share?
- How do you calculate total return if there is a loss instead of a gain?
- What is the difference between realized gains and unrealized gains in investments?
- How does dividend yield impact total return in stocks?
Tip: Always consider both capital gains and dividends when calculating the total return on an investment.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Investment Return Calculation
Capital Gains
Dividend Income
Formulas
Total purchase price per share = Total purchase cost / Number of shares
Total selling price = Number of shares × Selling price per share
Capital gain = Total selling price - Total purchase cost
Dividend income = Number of shares × Dividend per share
Total return = Capital gain + Dividend income
Theorems
-
Suitable Grade Level
Undergraduate Finance or Investment
Related Recommendation
Stock Return Calculation: Capital Gains and Dividends Explained
Calculating Stock Investment Returns with Purchase Price, Dividend, and Sale Price
Calculating the Percentage Total Return on Stock Investments
Calculate Selling Price of Stock Given Purchase Price, Dividends, and Total Return
Calculating Total Rate of Return for a Stock with Dividend and Known Future Price