You are the product actuary for company A Life. You have developed a ten-year annuity that pays X at the end of each year. Calculate the modified duration for this annuity given an annual effective interest rate of 7%.

Match each definition in column 1 with a vocabulary word from column 2." some of the entries in column 2 do not apply costs which do not change with the level of output costs which change with the level of output the change in total costs resulting from an increase in output by one unit function showing the quantities of a particular good demanded at a range of price when the quantity supplied of a good is greater than the quantity demanded when the quantity demanded for a particular good is greater than the quantity supplied the price and quantity determined in a market when the supply equals the demand when revenue exceeds costs when costs exceeds revenue output where revenue = costs