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e-lub [12.9K]
2 years ago
8

Reese, a calendar-year taxpayer, uses the cash method of accounting for her sole proprietorship. In late December, she received

a $23,000 bill from her accountant for consulting services related to her small business. Reese can pay the $23,000 bill anytime before January 30 of next year without penalty. Assume Reese’s marginal tax rate is 32 percent this year and will be 37 percent next year, and that she can earn an after-tax rate of return of 7 percent on her investments.
a. What is the after-tax cost if she pays the $39,000 bill in December?
After-tax cost 26,520
b. What is the after-tax cost if she pays the $39,000 bill in January? (Do not round intermediate calculations. Round your answer to the nearest whole dollar amount.)
After-tax cost
c. Should Reese pay the $39,000 bill'in December or Jahuary?
December
January
d. What is the after-tax cost if she expects her marginal tax rate to be 24 percent next year and pays the $39,000 bill in January? Use Exhibit 31. (Round your answer to the nearest whole dollar amount.)
After-tax cost
e. Should Reese pay the $39,000 bill in December or January if she expects her marginal tax rate to be 32 percent this year and 24 percent next year?
December
January
Business
1 answer:
muminat2 years ago
3 0

Answer:

a. What is the after-tax cost if she pays the $39,000 bill in December?

= $23,000 x (1 - 32%) = $15,640

b. What is the after-tax cost if she pays the $39,000 bill in January? (Do not round intermediate calculations. Round your answer to the nearest whole dollar amount.)

total after tax cost (including investment revenue):

= $23,000 x (1 - 37%) = $14,490

= -$23,000 x 7% x 1/12 x (1 - 37%) = -$84.53

= $14,405.47

c. Should Reese pay the $23,000 bill'in December or January?

January , since the after tax cost is lower

d. What is the after-tax cost if she expects her marginal tax rate to be 24 percent next year and pays the $23,000 bill in January?

= $23,000 x (1 - 24%) = $17,480

= -$23,000 x 7% x 1/12 x (1 - 24%) = -$101.97

= $17,378.03

e. Should Reese pay the $23,000 bill in December or January if she expects her marginal tax rate to be 32 percent this year and 24 percent next year?

December, since the after tax cost is lower

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Read 2 more answers
Compounding
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Answer:

Task A:

<u>What is the effecting annual rate changed on this loan?</u>

Answer is 3.03%

<u>Task B: </u>

<u>What would be the quarterly payment on this loan?</u>

Answer is $5,403.06

<u>Task C:</u>

<u>Dr. Zoidberg also discovers that instead of the special promotional rate he can make  an additional down payment of $20,000 that would lower his loan amount accordingly (i.e. by $20,000). At what APR would Dr. Zoidberg have the same quarterly payment with this option as with the initial promotional rate of 3%?</u>

Answer is 12.21%

<u>Task D</u>

<u>Dr. Zoidberg finds that he can get 1.5% APR if he elects option (c). What will his quarterly payment be under this option?</u>

The answer is $4,159.37

<u>Task E:</u>

<u>Now assume that that payment frequency changes to annual, preserving the same EAR. What is his payment now?</u>

The answer is $21,835.46

Explanation:

<h2>Task A: </h2><h3>What is the effecting annual rate changed on this loan?</h3>

Solution:

Effective annual rate = (1 + (APR/n))ⁿ - 1

where

n = number of compounding periods per year = 4 (compounding quarterly)

APR = 3%

Effective annual rate = (1 + (3%/4))⁴ - 1

Effective annual rate = 3.03% (answer).

<h2>Task B: </h2><h3>What would be the quarterly payment on this loan?</h3>

Solution:

Quarterly loan payment is calculated using PMT function in Excel :

Rate = 3% / 4   (converting annual rate into Quarterly rate)

nper = 5*4 (5 year loan with 12 Quarterly payments each year)

pv = 100000 (loan amount)

PMT Formula = PMT(3%/4,5*4,100000)

PMT is calculated to be $5,403.06 (answer)  

Note: PMT calculation has been attached.

<h2>Task C:</h2><h3>Dr. Zoidberg also discovers that instead of the special promotional rate he can make  an additional down payment of $20,000 that would lower his loan amount accordingly (i.e. by $20,000). At what APR would Dr. Zoidberg have the same quarterly payment with this option as with the initial promotional rate of 3%?</h3>

Solution

The quarterly rate to have the same quarterly payment is calculated using RATE function in Excel :

nper = 5*4 (5 year loan with 12 Quarterly payments each year)

pmt = -5403.06 (Quarterly payment. This is entered with a negative sign because it is a payment)

pv = 80000 (loan amount)

RATE is calculated to be 3.05%. This is the quarterly rate. To get APR, we multiply by 4.

Formula for APR = RATE(5*4,C1,80000)*4

APR = 12.21% (answer)

<h2>Task D</h2><h3>Dr. Zoidberg finds that he can get 1.5% APR if he elects option (c). What will his quarterly payment be under this option?</h3>

Solution:

Quarterly loan payment is calculated using PMT function in Excel :

rate = 1.5% / 4   (converting annual rate into Quarterly rate)

nper = 5*4 (5 year loan with 12 Quarterly payments each year)

pv = 80000 (loan amount)

PMT formula: PMT(1.5%/4,5*4,80000)

PMT is calculated to be $4,159.37

<h2>Task E</h2><h3>Now assume that that payment frequency changes to annual, preserving the same EAR. What is his payment now?</h3>

Solution:

PMT = PMT(3%,5,100000)

PMT = $21,835.46

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The Flores Family loves to go sailing on the weekends. Mr. Flores has decided to purchase a more spacious sailboat. The sailboat
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Answer:

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M = 20,000 ÷ 54.3683213801713  = $367.86

Therefore, Mr. Flores should deposit $367.86 in this account at the beginning of each month to be able to pay cash for the sailboat in 4 years.

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