5. You are given a loan on which interest is charged over a 5-year period as follows. (i.) The force of interest 8 (t) = 3t2/ (1+t3) for year 1; (ii.) The force of interest (t) = 2t/ (1+ t2) for year 2; (iii.) A nominal rate of interest of 15% convertible monthly for year 3; (iv.) A nominal rate of interest of 15% convertible once every 3 years for year 4; (v.) A force of interest of 15% in year 5. (a) Calculate the equivalent nominal interest rate convertible quarterly for the 5-year period. (b) Calculate the equivalent nominal interest rate convertible quarterly for the first 2 years. (c) Calculate the equivalent nominal interest rate convertible quarterly for years 3 through 5. 5. You are given a loan on which interest is charged over a 5-year period as follows. (i.) The force of interest 8 (t) = 3t2/ (1+t3) for year 1; (ii.) The force of interest (t) = 2t/ (1+ t2) for year 2; (iii.) A nominal rate of interest of 15% convertible monthly for year 3; (iv.) A nominal rate of interest of 15% convertible once every 3 years for year 4; (v.) A force of interest of 15% in year 5. (a) Calculate the equivalent nominal interest rate convertible quarterly for the 5-year period. (b) Calculate the equivalent nominal interest rate convertible quarterly for the first 2 years. (c) Calculate the equivalent nominal interest rate convertible quarterly for years 3 through 5