EXERCISE IV.B.1. Over a 10 year period, a mutual fund grew by 15% in 5 of the 10 years and grew by 5% in the other 5. The average of these rates is 10%. Find its effective annual rate of return, i.e. the number r such that the fund's price after 10 years is S. (1 + r). EXERCISE IV.B.2. Repeat Exercise IV.B.1 if the fund grew by 40% in 5 of the 10 years and contracted by 20% in the other 5 (the arithmetic average of the rates is still +10%)