Trevor is a single individual who is a cash-method, calendar-year taxpayer. For each of the next two years (2020 and 2021), Trev
or expects to report AGI of $80,000, contribute $8,000 to charity, and pay $2,800 in state income taxes.
Required:
a. Estimate Trevor’s taxable income for 2020 and 2021 using the 2020 amounts for the standard deduction for both years.
b. Now assume that Trevor combines his anticipated charitable contributions for the next two years and makes the combined contribution in December of 2020. Estimate Trevor’s taxable income for each of the next two years using the 2020 amounts for the standard deduction.
c. Trevor plans to purchase a residence next year, and he estimates that additional property taxes and residential interest will cost $2,000 and $10,000, respectively, each year. Estimate Trevor’s taxable income for each of the next two years (2020 and 2021) using the 2020 amounts for the standard deduction and also assuming Trevor makes the charitable contribution of $8,000 and state tax payments of $2,800 in each year.
d. Trevor plans to purchase a residence next year, and he estimates that additional property taxes and residential interest will cost $2,000 and $10,000, respectively, each year. Assume that Trevor makes the charitable contribution for 2021 and pays the real estate taxes for 2021 in December of 2020. Estimate Trevor’s taxable income for 2020 and 2021 using the 2020 amounts for the standard deduction.
Required:
a. Estimate Trevor’s taxable income for 2020 and 2021 using the 2020 amounts for the standard deduction for both years.
b. Now assume that Trevor combines his anticipated charitable contributions for the next two years and makes the combined contribution in December of 2020. Estimate Trevor’s taxable income for each of the next two years using the 2020 amounts for the standard deduction.
c. Trevor plans to purchase a residence next year, and he estimates that additional property taxes and residential interest will cost $2,000 and $10,000, respectively, each year. Estimate Trevor’s taxable income for each of the next two years (2020 and 2021) using the 2020 amounts for the standard deduction and also assuming Trevor makes the charitable contribution of $8,000 and state tax payments of $2,800 in each year.
d. Trevor plans to purchase a residence next year, and he estimates that additional property taxes and residential interest will cost $2,000 and $10,000, respectively, each year. Assume that Trevor makes the charitable contribution for 2021 and pays the real estate taxes for 2021 in December of 2020. Estimate Trevor’s taxable income for 2020 and 2021 using the 2020 amounts for the standard deduction.
1 answer:
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Answer:
Check the explanation
Explanation:
Let the binary variables be: x1,x2,x3.....x10. If x1=0, no amount is invested in fund 1 and if it is 1 it means that an amount is invested. Let y1,y2.....y 10 be the variables for the amount invested.
Kindly check the first attached image for the table.
The objective is to maximize the return. Hence our objective function is: 6.7%*y1+7.65%*y2+7.55%*y3+7.45%*y4+7.5%*y5+6.45%*y6+7.05%*y7+6.9%*y8+5.2%*y9+5.9%*y10. This has to be maximized.
Constraints:
(i) y1,y2.....y10<=25,000 (no more than $25,000 can be invested in any one fund)
(ii) If x1=1, y1>=10,000, 0. This what if formula will be applicable for all the variables. (If a fund is chosen for investment, then at least $10,000 will be invested in it).
(iii) x1+x2+x3+x4<=2 (No more than two of the funds can be pure growth funds)
(iv) y9+y10>=y1+y2+y3+y4 (at least as much as the amount invested in pure amount invested in pure bond funds must be at least as much as the amount invested in pure growth funds)
(v) all x's are binary and all y's>=0. (vi) y1+y2+y3+y4....y10 = 100,000 (amount to be invested)
Solving in excel using the solver function the following solution is obtained:
Kindly check the second attached image for the table.
Thus the maximum return = $7056.25
Amount invested in different funds are:
Kindly check the Third attached image for the table.
