Calculate the percentage return on the security if the payoff to the security in one year is $1,000, ... security in one year is $1,000, $1,500, $2,000, or $2,500.

To calculate the percentage return on the security, you need to calculate the ratio of the gain or loss to the original investment, and then express that figure as a percentage.

Here's how you can calculate the percentage return:

Step 1: Determine the original investment. Since the question doesn't provide this information, we'll assume it's $1,000.

Step 2: Calculate the gain or loss. This is the difference between the payoff and the original investment. In this case, the payoffs are $1,000, $1,500, $2,000, and $2,500. So, the gains or losses would be $0, $500, $1,000, and $1,500, respectively.

Step 3: Calculate the percentage return. To do this, divide the gain or loss by the original investment and multiply by 100. Then, express it as a percentage.

Let's calculate the percentage return for each scenario:

1) Payoff: $1,000
Gain or Loss = $1,000 - $1,000 = $0
Percentage return = ($0 / $1,000) * 100 = 0%

2) Payoff: $1,500
Gain or Loss = $1,500 - $1,000 = $500
Percentage return = ($500 / $1,000) * 100 = 50%

3) Payoff: $2,000
Gain or Loss = $2,000 - $1,000 = $1,000
Percentage return = ($1,000 / $1,000) * 100 = 100%

4) Payoff: $2,500
Gain or Loss = $2,500 - $1,000 = $1,500
Percentage return = ($1,500 / $1,000) * 100 = 150%

Therefore, the respective percentage returns on the security for the payoffs of $1,000, $1,500, $2,000, and $2,500 are 0%, 50%, 100%, and 150%.