The correct answer to the question is option 4, banker. This means that for the year 2006, the Nobel Peace Prize was awarded to a banker.

Let`s analyze each option to understand why option 4 is the correct answer.

Option 1, writer, refers to someone who is involved in writing books, articles, or other forms of literature. However, for the year 2006, the Nobel Peace Prize was not awarded to a writer.

Option 2, environmentalist, refers to a person who is dedicated to protecting and preserving the environment. While this is a noble cause, the Nobel Peace Prize for the year 2006 was not awarded to an environmentalist.

Option 3, head of state, refers to the leader of a country. Although heads of state can contribute significantly to peace, the Nobel Peace Prize for the year 2006 was not given to a head of state.

Option 4, banker, refers to an individual involved in banking and financial services. Surprisingly, for the year 2006, the Nobel Peace Prize was indeed awarded to a banker.

In conclusion, option 4, banker, is the correct answer to the question.