Problem $6-8$

A broker wants to sell a customer an investment costing $$100$ with an expected payoff in one year of $$109\mathrm{.}6.$ The customer indicates

that a $9\mathrm{.}6$ percent return is not very attractive. The broker responds by suggesting the customer borrow $$90$ for one year at $7\mathrm{.}6$

percent interest to help pay for the investment.

a$.$ What is the customer's expected return if she borrows the money?

Note: Round your answer to $1$ decimal place.

Customer's expected return