Final answer:
Sachi's capital gain tax liability is calculated by considering the long-term capital gains tax rates and her other taxable income. A portion of the gain is taxed at 0% while the remainder is taxed at 15%, resulting in a total tax liability of $1,200 on the capital gain.
Step-by-step explanation:
To calculate tax liability on the capital gain, we need to determine the amount of the gain and the tax rate that applies. In this case, Sachi sold a capital asset for $20,000 which was purchased for $5,000, resulting in a capital gain of $15,000. According to the information provided, we know that for a single individual, the long-term capital gains tax rates for 2020 could be 0%, 15%, or 20% depending on the taxable income.
Assuming Sachi's other income places her in the 15% long-term capital gains tax bracket, her tax on the capital gain would be calculated as 15% of $15,000, which is $2,250. However, since her taxable income plus her capital gain does not exceed the threshold for the 0% capital gains tax rate ($40,000 for single filers in 2020), a portion of her capital gain would actually be taxed at 0%. The taxable income of $33,000 when added to the capital gain of $15,000 totals $48,000, making the first $7,000 of the capital gain taxed at the 0% rate ($40,000 threshold minus $33,000 taxable income) and the remaining $8,000 taxed at the 15% rate.
Therefore, Sachi's total tax liability on the capital gain would be 15% of $8,000, which is $1,200. This is how we arrive at the correct answer of $1,200 for the capital gain tax liability.