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%.

The chart shows the pricing history for two items. which person saved the most money by buying a product at the right time? carrie, who waited six months to buy a game system timothy, who bought a game system right away because it was popular eugene, who bought a phone immediately for fear they would sell out marlene, who waited six months to buy a phone

Conor is 21 years old and just started working after college. he has opened a retirement account that pays 2.5% interest compounded monthly. he plans on making monthly deposits of $200. how much will he have in the account when he reaches 591 years of age?

Beagle autos is known for its affordable and reliable brand of consumer vehicles. because its shareholders expect to see an improved rate of growth in the coming years, beagle's executives have decided to diversify the company's range of products so that at least 40 percent of the firm's revenue is generated by new business units. however, the company's resources, capabilities, and competencies are limited to producing other forms of motorized vehicles, such as motorcycles and all-terrain vehicles (atvs). which type of corporate diversification strategy should beagle pursue?