/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 20 ACRS and MACRS: In 1981 Congress... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

ACRS and MACRS: In 1981 Congress introduced the Accelerated Cost Recovery System (ACRS) tax depreciation. ACRS allowed for uniform recovery periods at fixed percentage rates each year. Part of the intent of the law was to encourage businesses to invest in new equipment by allowing faster depreciation. For example, a delivery truck is designated by ACRS as a 3-year property, and the depreciation percentages allowed each year are given in the table below. $$ \begin{array}{|c|c|} \hline \text { Year } & \text { ACRS Depreciation } \\ \hline 1 & 25 \% \\ \hline 2 & 38 \% \\ \hline 3 & 37 \% \\ \hline \end{array} $$ Tax depreciation allows expenses in one year for durable goods, such as a truck, to be allocated and deducted from taxable income over several years. The depreciation percentage refers to percentage of the original expense. For example, if an item costs \(\$ 10,000\), then in the first year \(25 \%\), or \(\$ 2500\), is deducted; in the second year \(38 \%\), or \(\$ 3800\), is deducted; and in the third year \(37 \%\), or \(\$ 3700\), is deducted. In the Tax Reform Act of 1986, the Modified Accelerated Cost Recovery System (MACRS) was mandated. This law designated light trucks, such as delivery trucks, as 5 -year property and (curiously) required depreciation over 6 years, as shown in the following table.$$ \begin{array}{|c|c|} \hline \text { Year } & \text { MACRS Depreciation } \\ \hline 1 & 20 \% \\ \hline 2 & 32 \% \\ \hline 3 & 19.2 \% \\ \hline 4 & 11.52 \% \\ \hline 5 & 11.52 \% \\ \hline 6 & 5.76 \% \\ \hline \end{array} $$ a. Under either ACRS or MACRS, what is the total depreciation allowed over the life of the truck? b. Under ACRS, what dollar tax deduction for depreciation on the truck is allowed in each of the first 3 years? c. Under MACRS, what dollar tax deduction for depreciation on the truck is allowed in each of the first 3 years? d. Suppose your company has a \(28 \%\) marginal tax rate. That is, a 1 dollar tax deduction results in a reduction of 28 cents in actual taxes paid. Under ACRS, what is the total tax savings due to depreciation of the truck during the second year?

Short Answer

Expert verified
a. Both ACRS and MACRS allow 100% depreciation. b. ACRS deductions: Year 1: \$2,500, Year 2: \$3,800, Year 3: \$3,700. c. MACRS deductions: Year 1: \$2,000, Year 2: \$3,200, Year 3: \$1,920. d. Year 2 ACRS tax savings: \$1,064.

Step by step solution

01

Calculate Total Depreciation under ACRS

For ACRS, depreciation is calculated over 3 years with percentages: 25%, 38%, and 37%. The total depreciation, by combining these percentages, is computed as \(25\% + 38\% + 37\% = 100\%\). Hence, under ACRS, the total depreciation allowed over the life of the truck is 100% of its original cost.
02

Calculate Total Depreciation under MACRS

For MACRS, depreciation is calculated over 6 years with given percentages: 20%, 32%, 19.2%, 11.52%, 11.52%, and 5.76%. The sum of these percentages is \(20\% + 32\% + 19.2\% + 11.52\% + 11.52\% + 5.76\% = 100\%\). Hence, under MACRS, the total depreciation allowed is also 100% of the original cost.
03

Calculate ACRS Dollar Depreciation for First 3 Years

Given the truck's cost is \\(10,000: - Year 1: \(25\% \times 10,000 = \\)2,500\) - Year 2: \(38\% \times 10,000 = \\(3,800\) - Year 3: \(37\% \times 10,000 = \\)3,700\)
04

Calculate MACRS Dollar Depreciation for First 3 Years

Based on a \\(10,000 cost, under MACRS: - Year 1: \(20\% \times 10,000 = \\)2,000\)- Year 2: \(32\% \times 10,000 = \\(3,200\)- Year 3: \(19.2\% \times 10,000 = \\)1,920\)
05

Calculate Tax Savings under ACRS in Year 2

For Year 2, the ACRS depreciation deduction is \\(3,800. The tax savings can be calculated as \(28\% \times 3,800 = \\)1,064\). This is the reduction in actual taxes paid due to depreciation in the second year.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91Ó°ÊÓ!

Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Accelerated Cost Recovery System (ACRS)
The Accelerated Cost Recovery System (ACRS) was introduced as part of an effort to stimulate economic growth by incentivizing businesses to invest in assets like equipment and vehicles. ACRS allows companies to write off the costs of these assets for tax purposes over a specified number of years. This system uses fixed depreciation percentages to calculate yearly deductions based on the asset's original cost.

Under ACRS, the recovery period for a delivery truck is designated as three years. Each year has predetermined percentages applied uniformly. For instance, in the first year, companies could deduct 25% of the asset's cost; the second year, 38%; and the third year, 37%. These percentages are straightforward and fixed, making it easier for businesses to plan their financial statements. The objective was to accelerate the process of recovering costs associated with long-term business assets, giving firms more immediate tax benefits.

The benefits of ACRS are two-fold:
  • It allows for greater tax deductions in the initial years of an asset's life, improving cash flow for businesses.
  • Faster depreciation encourages firms to quickly adopt and replace equipment, keeping operations efficient and up to date.
Modified Accelerated Cost Recovery System (MACRS)
In 1986, the Modified Accelerated Cost Recovery System (MACRS) was enacted to address limitations found in ACRS and provide a more nuanced approach to depreciation. While similar to ACRS, MACRS introduced varied asset classes and slightly altered timelines for depreciation, reflecting more accurate estimations of an asset’s utility.

MACRS distinguished itself by extending the recovery period for light trucks, such as delivery vehicles, to 5 years but depreciating them over 6 years. This was a refinement over the previous system, aiming for a more precise alignment with how an asset would typically depreciate in real world conditions. The MACRS calculation for depreciation also involves set percentages: 20% in year one, 32% in year two, followed by 19.2%, 11.52%, 11.52%, and finally, 5.76% over the next four years.

Key advantages of MACRS include:
  • Flexibility with additional asset classification, which allowed businesses to select schedules that best matched their depreciation rates with the actual use of the asset.
  • Reduction in risk of errors due to the comprehensive outlining of classes.
  • Enhanced detail in calculations brought the depreciation process closer to actual economic depreciation.
Depreciation Calculations
Depreciation calculations are vital in financial management as they help businesses allocate the cost of their assets over time. Through systems like ACRS and MACRS, firms can systematically spread out the expense of an asset's value decrease due to wear and tear, obsolescence, or decreased functionality.

To illustrate how depreciation calculations work, consider a delivery truck purchased for $10,000. Both ACRS and MACRS provide distinct schedules for writing off this cost over the asset's useful life. Under ACRS, this means deducting set percentages—25%, then 38%, then 37%—over three years. With MACRS, the same asset involves deducting 20% in the first year, followed by decreasing percentages until the sixth year.

Depreciation, beyond its accounting benefits, provides essential cash flow advantages by reducing taxable income. Lower taxable income means reduced tax liability, allowing businesses to conserve cash. For example, if a company operates under a 28% tax rate, each dollar deducted for depreciation translates to 28 cents in tax savings, which can significantly impact the company's growth and operational capabilities.

Key considerations when performing depreciation calculations include:
  • Choosing the right depreciation system based on asset type and business strategy.
  • Applying correct percentages for each year of the asset recovery period.
  • Acknowledging the tax implications of depreciation for better financial forecasting.

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

A stock market investment: A stock market investment of \(\$ 10,000\) was made in 1970 . During the decade of the \(1970 \mathrm{~s}\), the stock lost half its value. Beginning in 1980, the value increased until it reached \(\$ 35,000\) in 1990 . After that its value has remained stable. Let \(v=v(d)\) denote the value of the stock, in dollars, as a function of the date \(d\). a. What are the values of \(v(1970), v(1980)\), \(v(1990)\), and \(v(2000)\) ? b. Make a graph of \(v\) against \(d\). Label the axes appropriately. c. Estimate the time when your graph indicates that the value of the stock was most rapidly increasing.

A car that gets \(m\) miles per gallon: The cost of operating a car depends on the gas mileage \(m\) that your car gets, the cost \(g\) per gallon of gasoline, and the distance \(d\) that you drive. a. How much does it cost to drive 100 miles if your car gets 25 miles per gallon and gasoline costs 289 cents per gallon? b. Find a formula that gives the cost \(C\) as a function of \(m, g\), and \(d\). Be sure to state the units of each variable. c. Use functional notation to show the cost of driving a car that gets 28 miles per gallon a distance of 138 miles if gasoline costs \(\$ 2.99\) per gallon. Use the formula from part b to calculate the cost.

Sales income: The following table shows the net monthly income \(N\) for a real estate agency as a function of the monthly real estate sales \(s\), both measured in dollars. $$ \begin{array}{|c|c|} \hline s=\text { Sales } & N=\text { Net income } \\ \hline 450,000 & 4000 \\ \hline 500,000 & 5500 \\ \hline 550,000 & 7000 \\ \hline 600,000 & 8500 \\ \hline \end{array} $$ a. Make a table showing, for each of the intervals in the table above, the average rate of change in \(N\). What pattern do you see? b. Use the average rate of change to estimate the net monthly income for monthly real estate sales of \(\$ 520,000\). In light of your answer to part a, how confident are you that your estimate is an accurate representation of the actual income? c. Would you expect \(N\) to have a limiting value? Be sure to explain your reasoning.

Renting motel rooms: You own a motel with 30 rooms and have a pricing structure that encourages rentals of rooms in groups. One room rents for \(\$ 85.00\), two for \(\$ 83.00\) each, and in general the group rate per room is found by taking \(\$ 2\) off the base of \(\$ 85\) for each extra room rented. a. How much money do you charge per room if a group rents 3 rooms? What is the total amount of money you take in? b. Use a formula to give the rate you charge for each room if you rent \(n\) rooms to an organization. c. Find a formula for a function \(R=R(n)\) that gives the total revenue from renting \(n\) rooms to a convention host. d. Use functional notation to show the total revenue from renting a block of 9 rooms to a group. Calculate the value.

Tax owed: The income tax \(T\) owed in a certain state is a function of the taxable income \(I\), both measured in dollars. The formula is \(T=0.11 I-500\) a. Express using functional notation the tax owed on a taxable income of \(\$ 13,000\), and then calculate that value. b. If your taxable income increases from \(\$ 13,000\) to \(\$ 14,000\), by how much does your tax increase? c. If your taxable income increases from \(\$ 14,000\) to \(\$ 15,000\), by how much does your tax increase?

See all solutions

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.