A pension plan is obligated to make disbursements of $1 million, $2 million, and $1 million at the end of each of the next three years, respectively. Find the duration of the plan’s obligations if the interest rate is 10% annually.

cranium, inc., purchases term papers from an overseas supplier under a continuous review system. the average demand for a popular mode is 300 units a day with a standard deviation of 30 units a day. it costs $60 to process each order and there is a five−day lead−time. the holding cost for a paper is $0.25 per year and the company policy is to maintain a 98% service level. cranium operates 200 days per year. what is the reorder point r to satisfy a 98% cycleminus−service level? a. greater than 1,700 unitsb. greater than 1,600 units but less than or equal to 1,700 unitsc. greater than 1,500 units but less than or equal to 1,600 unitsd. less than or equal to 1,500 units

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.)

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