Price for target yield on a fixed-dividend stock I want to purchase a 6% stock that must yield 5% on my capital. At what price (per Rs. 100 nominal) should I buy the stock?

Difficulty: Easy

Correct Answer: Rs. 120

Explanation:


Introduction / Context:
For a desired yield different from the coupon rate, the only adjustable variable is purchase price. Given the dividend per Rs. 100 nominal, set price so that dividend/price equals the target yield.


Given Data / Assumptions:

  • Dividend rate = 6% ⇒ Dividend per Rs. 100 nominal = Rs. 6.
  • Required yield = 5% per annum.
  • No brokerage or taxes.


Concept / Approach:
Yield = (Dividend / Price) * 100 ⇒ Price = Dividend * 100 / Yield%. Substitute Dividend = 6 and Yield% = 5 to obtain the price per Rs. 100 nominal.


Step-by-Step Solution:
Price = 6 / 5 * 100 = 1.2 * 100 = Rs. 120.


Verification / Alternative check:
Check yield at price 120: 6/120 * 100 = 5%, exactly as required. Because the coupon (6%) is above desired yield (5%), the price must be above par (premium), which matches Rs. 120.


Why Other Options Are Wrong:
Rs. 111 or Rs. 101 would give yields greater than 5%; Rs. 83.33 would give a much higher yield; Rs. 115 still above 5%.


Common Pitfalls:
Using the invested amount instead of the per-100 framework, or forgetting to convert percent properly. The formula keeps it straightforward.


Final Answer:
Rs. 120

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