Calculate the modified duration of a bond that has a Macaulay duration of 7.6 and the bond pays interest semi-annually with a coupon rate of 6 percent and a required rate of return of 8 percent.

Arnold rossiter is a 40-year-old employee of the barrington company who will retire at age 60 and expects to live to age 75. the firm has promised a retirement income of $20,000 at the end of each year following retirement until death. the firm's pension fund is expected to earn 7 percent annually on its assets and the firm uses 7% to discount pension benefits. what is barrington's annual pension contribution to the nearest dollar for mr. rossiter? (assume certainty and end-of-year cash flows.)

Identify whether the statements are true or false by dragging and dropping the appropriate term into the bin provided. long-run economic growth is unlikely to be sustainable because of finite natural resources. in the modern economy, countries that possess few domestic natural resources essentially have no chance to develop economically. finding alternatives to natural resources will be very important to long-term economic growth. in the modern economy, human and physical capital are generally less important in productivity than natural resources. in the 19th century, countries with the highest per capita gdp were nearly always abundant in minerals and productive farming land.

For example, the upper right cell shows that if expresso advertises and beantown doesn't advertise, expresso will make a profit of $15 million, and beantown will make a profit of $2 million. assume this is a simultaneous game and that expresso and beantown are both profit-maximizing firms. if expresso decides to advertise, it will earn a profit of $ million if beantown advertises and a profit of $ million if beantown does not advertise. if expresso decides not to advertise, it will earn a profit of $ million if beantown advertises and a profit of $ million if beantown does not advertise. if beantown advertises, expresso makes a higher profit if it chooses . if beantown doesn't advertise, expresso makes a higher profit if it chooses . suppose that both firms start off not advertising. if the firms act independently, what strategies will they end up choosing? expresso will choose to advertise and beantown will choose not to advertise. expresso will choose not to advertise and beantown will choose to advertise. both firms will choose to advertise. both firms will choose not to advertise.