2.1. A 20 year term insurance of $5000 on a life aged 40 is purchased by a single premium. There are initial expenses of $100, renewal expenses of 0.1% of the sum insured, incurred at the beginning of each year including the first, and claims expenses of $30. Based on a 6% annual interest rate, determine

a) the net single premium

b) the gross single premium

c) the expense loading of the gross premium.