Question 6 has 5 parts, please label each of your answers accordingly, please answer on paper. Thank you.

6. (24 pts) Mike buys a perpetuity-immediate with varying annual payments. During the first 5 years, the payment is constant and equal to 10. Beginning in year 6, the payments start to increase. For year 6 and all future years, the current year's payment is K% larger than previous year's payment. At an annual effective interest rate of 9.2%, the perpetuity has a present value of 167.50. Calculate K given K