Effective yield from quote: What is the income (yield %) derived from holding a 5.5% stock quoted at 95 (per ₹100 nominal)?
Aptitude
Stocks and Shares
Difficulty: Medium
Choose an option
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ARs. 5.50
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BRs. 5
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CRs. 5.28
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DNone of these
Answer
Correct Answer: None of these
Explanation
Introduction / Context:Coupon is paid on nominal value, but yield depends on the price paid. Here the stock pays ₹5.50 per ₹100 nominal, and the investor pays ₹95. We compute the yield percentage, not merely the rupee dividend.
Given Data / Assumptions:
- Coupon rate = 5.5% ⇒ Dividend per ₹100 nominal = ₹5.50.
- Quoted price = ₹95 per ₹100 nominal.
- Asked: income as a percentage yield on the investment.
Concept / Approach:Yield % = (Dividend per unit / Market price per unit) * 100.
Step-by-Step Solution:Dividend per ₹100 = ₹5.50.Market price per ₹100 = ₹95.Yield % = (5.50 / 95) * 100 = 5.789473...% ≈ 5.79%.
Verification / Alternative check:If you invest ₹95, you receive ₹5.50 annually. That ratio is approximately 0.0578947, i.e., 5.79% when expressed as a percentage.
Why Other Options Are Wrong:
- “Rs. 5.50” and “Rs. 5” are rupee amounts, not percentage yields.
- “Rs. 5.28” is neither the correct yield nor a clearly defined metric here.
Common Pitfalls:
- Confusing dividend in rupees with yield in percent; yield must use market price in the denominator.
Final Answer:None of these