Tarek Framborgia is considering the purchase of a disability policy. He is currently thirty$-$five years old and earns $$50,000$ per year as a quality control engineer for a major industrial company. He worries that with his moderately strenuous job responsibilities, and his potential for increasing earnings, he may not be adequately covered should an off$-$the$-$job accident keep him from continuing his career. He has come to you with the following list of problems and questions.

If he purchases a disability policy that pays a fixed benefit of $90$ percent of his current salary, how long will it be before this amount covers only $70$ percent of his future salary if he assumes salary increases of $4$ percent per year?

Assuming the same policy as above, if he purchases a policy with a provision for future increases of $$1,000$ per year, how long will this new policy cover at least $70$ percent of his income?

If it is assumed that both his salary and the inflation rate increase at $4$ percent per year, and that there is no floor or ceiling to potential benefit increases because he purchases both a cost$-$of$-$living and future increase option provisions on the above policy, how much should the annual benefit be in twenty$-$five years?