g Options vest on January 1, 2025. They cannot be exercised before that date and will expire on December 31, 2027. The fair value of the 22 million options, estimated by an appropriate option pricing model, is $49 per option. Ignore income tax. Union Pacific Corp's compensation expense in 2021 for these stock options was:

Amathematical approximation called the rule of 70 tells us that the number of years that it will take something that is growing to double in size is approximately equal to the number 70 divided by its percentage rate of growth. thus, if mexico's real gdp per person is growing at 7 percent per year, it will take about 10 years(=70/7) to double. apply the rule of 70 to solve the following problem. real gdp per person in mexico in 2005 was about $11,000 per person, while it was about $44,000 per person in the u. s. if real gdp per person in mexico grows at the rate of 5 percent per year: how long will it take mexico's real gdp per person to reach the level that the united states was at in 2005? (hint: how many times would mexico's 2005 real gdp per person have to double to reach the u. s.'s 2005 real gdp per person?

Each of the four independent situations below describes a sales-type lease in which annual lease payments of $12,500 are payable at the beginning of each year. each is a finance lease for the lessee. (fv of $1, pv of $1, fva of $1, pva of $1, fvad of $1 and pvad of $1) (use appropriate factor(s) from the tables provided.) situation 1 2 3 4 lease term (years) 3 3 3 3 asset’s useful life (years) 3 4 4 6 lessor’s implicit rate (known by lessee) 14 % 14 % 14 % 14 % residual value: guaranteed by lessee 0 $ 5,000 $ 2,500 0 unguaranteed 0 0 $ 2,500 $ 5,000 purchase option: after (years) none 2 3 3 exercise price n/a $ 7,500 $ 1,500 $ 3,500 reasonably certain? n/a no no yes

Guardian inc. is trying to develop an asset-financing plan. the firm has $450,000 in temporary current assets and $350,000 in permanent current assets. guardian also has $550,000 in fixed assets. assume a tax rate of 40 percent. a. construct two alternative financing plans for guardian. one of the plans should be conservative, with 70 percent of assets financed by long-term sources, and the other should be aggressive, with only 56.25 percent of assets financed by long-term sources. the current interest rate is 12 percent on long-term funds and 7 percent on short-term financing. compute the annual interest payments under each plan.