A conglomerate corporation develops, manufactures, and markets a wide range of products, including medical diagnostic imaging devices, jet engines, lighting products, and chemicals. In 2013, the stock price rose 30.29%, and in 2014, the stock price declined by 9.5%. If one purchased $1,000 of some social media stock at the start of 2013, its value would be $2 comma 984.24 at the end of 2014. Complete parts (a) through (c) below.

a. Compute the geometric mean rate of return per year of the two-year period 2013dash2014. (Hint: Denote an increase of 30.29% as Upper R 1equals0.3029). The geometric mean rate of return is nothing% per year. (Round to two decimal places as needed.)

b. If you purchased $1,000 of this conglomerate corporation's stock at the start of 2013, what was its value at the end of 2014? The value of this stock at the end of 2014 was $ nothing. (Round to the nearest cent as needed.)

c. Compare the result of (b) to the value of the $1,000 of the social media stock. Choose the correct answer below and fill in the answer box to complete your choice.