Final answer:
Olivia's gain is $9,125, which is considered a capital gain.
Step-by-step explanation:
Olivia's gain or loss can be determined by calculating the difference between the amount she paid for the option and the amount she sold it for.
Olivia paid $36,500 to obtain the option to buy the land for $730,000, so her initial investment is $36,500. Fourteen months later, she sells the option for $45,625. To calculate her gain or loss, we subtract her initial investment from the selling price:
Gain/Loss = Selling Price - Initial Investment
Gain/Loss = $45,625 - $36,500 = $9,125
Therefore, Olivia's gain is $9,125. It is important to note that her gain is considered a capital gain since she made a profit from the sale of an investment asset.