One day, your auto insurance agent calls and says that your insurence rates will be increased. You have a choice of keeping your current deductible of $200 with a new premium of $450 per year, or going to a higher deductible of $1000 with a new premium of $200 per year.

In the past 10 years you have filed 3 claims for $100, $200, and $600.

Using the last 10 years as a guide, explain which decision you would make and why? Support your answer with mathematical calculations of costs for both options while showing your work. Write your conclusion and explantions in compelte setences.