Math Problem Statement
Solution
To calculate the approximate current yield (or cost) of the preferred stock, we use the following formula:
Step-by-Step Calculation:
-
Annual Dividend:
The preferred stock was originally issued at a par value of $100 with a yield of 6%.
The annual dividend is:
-
Current Price:
The stock is now selling for $102. -
Current Yield Calculation:
Substitute the values into the formula:
Simplify:
Answer:
The approximate current yield is 5.9% (closest option).
Do you need further clarification on this calculation or concept?
Here are 5 related questions to explore further:
- How does the par value influence preferred stock calculations?
- How do market price changes impact the yield of preferred stock?
- What is the relationship between dividends and cost of preferred stock?
- How does flotation cost affect the cost of issuing preferred stock?
- What is the difference between yield and required return for preferred stock?
Tip: The yield of preferred stock reflects the investor's return based on the current price, not the par value. Always use the market price for yield calculations.
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Math Problem Analysis
Mathematical Concepts
Finance
Yield Calculation
Percentage
Formulas
Current Yield = (Annual Dividend / Current Price) × 100
Theorems
Preferred Stock Yield Formula
Suitable Grade Level
Undergraduate Finance Students
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