If you look at stock prices over any year, you will find a high and low stock pr
ID: 2653143 • Letter: I
Question
If you look at stock prices over any year, you will find a high and low stock price for the year. Instead of a single benchmark PE ratio, we now have a high and low PE ratio for each year. We can use these ratios to calculate a high and a low stock price for the next year. Suppose we have the following information on a particular company:
What is your high target stock price over the next year? (Do not round intermediate calculations and round your final answer to 2 decimal places. (e.g., 32.16))
What is your low target stock price over the next year? (Do not round intermediate calculations and round your final answer to 2 decimal places. (e.g., 32.16))
If you look at stock prices over any year, you will find a high and low stock price for the year. Instead of a single benchmark PE ratio, we now have a high and low PE ratio for each year. We can use these ratios to calculate a high and a low stock price for the next year. Suppose we have the following information on a particular company:
Explanation / Answer
Answer: First, we need to find the earnings per share next year, which will be:
EPS 1 = EPS (1 + g )
EPS 1 = $12.40(1 + 0.07)
EPS 1 = $13.268
To find the high target stock price, we need to find the average high PE ratio each year, which is:
PE 1 = $98.90 / $8.18 = 12.090
PE 2 = $122.50 / $9.93 = 12.336
PE 3 = $131.90 / $11.01 = 11.98
PE 4 = $148.53 / $12.40 = 11.98
So, the average high PE is:
Average PE = (12.090 + 12.336 + 11.98 + 11.98) / 4
Average PE = 12.0965
Using the equation to calculate the price of a share of stock with the PE ratio,
the high target price is:
P 1 = Benchmark PE ratio × EPS 1
P 1 = 12.0965 ($13.268) P 1 = $160.496
Answer: To find the low target stock price, we need to find the average high PE ratio each year, which is:
PE 1 = $73.73 / $8.18 = 9.01344
PE 2 = $89.84 / $9.93 = 9.04733
PE 3 = $70.52 / $11.01 = 6.405
PE 4 = $117.05 / $12.40 = 9.4395
So, the average low PE is:
Average PE = (9.01344 + 9.04733 + 6.405 + 9.4395) / 4
Average PE = 8.476
Using the equation to calculate the price of a share of stock with the PE ratio, the low target price is:
P 1 = Benchmark PE ratio × EPS 1
P 1 = 8.476($13.268)
P 1 = $112.463
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