Stock Return Price
1. **Problem statement:**
(a) Given a stock with an annual dividend of Tk. 3 per share and a price of Tk. 40, find the required rate of return.
(b) If the required rate of return rises to 9%, find the new price of the stock.
2. **Step (a): Calculate the required rate of return**
The required rate of return $r$ can be found using the dividend discount model for a stock with no growth:
$$ P = \frac{D}{r} $$
where $P$ is the price, $D$ is the dividend, and $r$ is the required rate of return.
Rearranging for $r$:
$$ r = \frac{D}{P} $$
Substitute the given values:
$$ r = \frac{3}{40} = 0.075 $$
Convert to percentage:
$$ r = 7.5\% $$
3. **Step (b): Calculate the new price when $r = 9\%$**
Using the same formula:
$$ P = \frac{D}{r} = \frac{3}{0.09} = 33.33 $$
4. **Final answers:**
- Required rate of return initially: **7.5%**
- New price of the stock when required return is 9%: **33.33**