On January 1, 2021, M Company granted 93,000 stock options to certain executives. The options are exercisable no sooner than December 31, 2023, and expire on January 1, 2027. Each option can be exercised to acquire one share of $1 par common stock for $12. An option-pricing model estimates the fair value of the options to be $4 on the date of grant. If unexpected turnover in 2022 caused the company to estimate that 10% of the options would be forfeited, what amount should M recognize as compensation expense for 2022

Suppose you win a small lottery and have the choice of two ways to be paid: you can accept the money in a lump sum or in a series of payments over time. if you pick the lump sum, you get $2,950 today. if you pick payments over time, you get three payments: $1,000 today, $1,000 1 year from today, and $1,000 2 years from today. 1) at an interest rate of 6% per year, the winner would be better off accepting the (lump sum / payments over time), since it has the greater present value. 2) at an interest rate of 9% per year, the winner would be better off accepting the (lump sum / payments over time), since it has the greater present value. 3) years after you win the lottery, a friend in another country calls to ask your advice. by wild coincidence, she has just won another lottery with the same payout schemes. she must make a quick decision about whether to collect her money under the lump sum or the payments over time. what is the best advice to give your friend? a) the lump sum is always better. b) the payments over time are always better. c) it will depend on the interest rate; advise her to get a calculator. d) none of these answers is good advice.