Final answer:
To calculate the expected next dividend payment, we should multiply the current share price by the dividend yield and then increase it by the growth rate. However, the information provided in the question seems to be incorrect or incomplete as the dividend should be calculated from the dividend rate and not from the total return.
Step-by-step explanation:
The question is asking for the expected amount of the next dividend payment from Blue Dye, Inc. Given the information that shares currently yield a total return of 14.80%, are priced at $23.64, with dividends increasing at a rate of 2.4%. The formula for dividend yield is annual dividends per share divided by the price per share. Assuming the current dividend yields the aforementioned total return, we calculate the current annual dividend (D0) by multiplying the current share price by the yield, $23.64 * 0.1480 = $3.49872. Taking into account the growth rate, the next dividend (D1) can be calculated as D0 * (1 + g), or $3.49872 * (1 + 0.024) = $3.57843568. However, the numbers given do not align with the standard methods to answer this question, which suggests that the data given in the question might be incorrect or incomplete. Normally, the dividend would be calculated based on the current dividend rate, not the total return, which includes capital gains.