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Ghella [55]
3 years ago
9

Problem 3-38 (LO 3-2, LO 3-3)Isabel, a calendar-year taxpayer, uses the cash method of accounting for her sole proprietorship. I

n late December she received a $31,000 bill from her accountant for consulting services related to her small business. Isabel can pay the $31,000 bill anytime before January 30 of next year without penalty. Assume her marginal tax rate is 37 percent this year and next year, and that she can earn an after-tax rate of return of 5 percent on her investments. a. What is the after-tax cost if Isabel pays the $31,000 bill in December?b. What is the after-tax cost if Isabel pays the $34,000 bill in January?
Business
1 answer:
forsale [732]3 years ago
7 0

Answer:

Explanation:

1) After tax cost = pre-tax cost * (1-t) = 31000*(1-37%) = $19530

After tax cost  = $19530

2)

Tax savings = 31000*37% = 11470

Present Value of Tax Savings = 11470*0.952 (1 Year, 5 percent) = $10919

After cost = 31000-10919 = $20081

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Answer:

Additional <u>$1,750 </u>must be invested by Ben.

Explanation:

Note: The question is not complete as some dots are omitted. The question is therefore given correctly before answering it as follows:

If Ben invests $3500 at 4% interest per year, how much additional money must he invest at 5 1/2 % annual interest to ensure that the interest he receives each year is 4 1/2 %.

The question is now answered as follows:

From the question, we have:

Initial amount invested = $3,500

Interest rate on initial amount invested = 4%, or 0.04

Interest amount from initial amount invested = Initial amount invested * Interest rate on initial amount invested = $3,500 * 4% = $140

Let y represents the additional amount to invest. Therefore, we have:

Interest rate of additional amount invested = 5 1/2% = 5.5% = 0.055

Interest amount from additional amount invested = y * Interest rate of additional amount invested = y * 0.055 = y0.055

Total interest amount = Interest amount from initial amount invested + Interest amount from additional amount invested = $140 + y0.055

New amount invested = Initial amount invested + y = $3,500 + y

Interest rate of new amount invested = 4 1/2% = 4.5% = 0.045

Interest amount from new amount invested = New amount invested * ($3,500 + y) * 0.045 = $157.50 + y0.045

Since total interest amount must equal interest amount from new amount invested, we equate the two and solve as follows:

Total interest amount = Interest amount from new amount invested

$140 + y0.055 = $157.50 + y0.045

We can now solve for y as follows:

y0.055 - y0.045 = $157.50 - $140

y0.01 = $17.50

y = 17.50 / 0.01

y = $1,750

Therefore, additional <u>$1,750 </u>must be invested by Ben.

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