Final Equivalent Annual Cost for Defender - 4.1 | 21. Introduction to Defender and Challenger Equipment | Construction Engineering & Management - Vol 1
K12 Students

Academics

AI-Powered learning for Grades 8–12, aligned with major Indian and international curricula.

Professionals

Professional Courses

Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.

Games

Interactive Games

Fun, engaging games to boost memory, math fluency, typing speed, and English skills—perfect for learners of all ages.

4.1 - Final Equivalent Annual Cost for Defender

Enroll to start learning

You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.

Practice

Interactive Audio Lesson

Listen to a student-teacher conversation explaining the topic in a relatable way.

Understanding Operating Costs

Unlock Audio Lesson

0:00
Teacher
Teacher

Today, we're comparing two pieces of equipment: the Defender and the Challenger. Let’s start by discussing operating costs. Who can tell me what operating costs are?

Student 1
Student 1

Are they the expenses required for running a machine?

Teacher
Teacher

Exactly, operating costs include maintenance and service. The Defender costs ₹1,35,000 per year, while the Challenger costs only ₹90,000. Can someone express why this difference may matter?

Student 2
Student 2

A lower operating cost would reduce the overall expenses over time, right?

Teacher
Teacher

Right! Reducing expenses can significantly impact the decision to keep or replace equipment. Remember the acronym 'COST' - Costs, Operations, Savings, Timing. It's essential to keep these factors in mind as they influence not only cash flow but also profitability.

Student 3
Student 3

So, the Challenger is more cost-effective from the start?

Teacher
Teacher

Yes, but we need to analyze further to see the total impact over time. Let’s dive more into the salvage values next!

Salvage Values and Their Importance

Unlock Audio Lesson

0:00
Teacher
Teacher

Now, turning our attention to salvage values. Can anyone explain what a salvage value is?

Student 4
Student 4

It’s the estimated resale value of an asset at the end of its useful life?

Teacher
Teacher

Correct! For the Defender, the salvage value is ₹6,00,000 after 5 years, while for the Challenger, it’s ₹12,00,000. Why do we need to consider these figures?

Student 1
Student 1

They affect the total cost of ownership, right? The higher the salvage value, the less net expense we incur.

Teacher
Teacher

Exactly! Think of it this way: higher salvage means a lower total cost when considering all expenses. This again ties back to our COST acronym, especially the ‘Timing’ which reminds us when to consider these values.

Student 2
Student 2

So they are crucial for calculating the equivalent annual cost?

Teacher
Teacher

Absolutely! Let’s now move on to calculating the EAC for both machines.

Calculating Equivalent Annual Cost (EAC)

Unlock Audio Lesson

0:00
Teacher
Teacher

To determine if we should replace the Defender with the Challenger, we calculate the EAC for both. Who remembers how we derive EAC using present values?

Student 3
Student 3

By applying the uniform series capital recovery factor for initial costs and the uniform series sinking fund factor for salvage values?

Teacher
Teacher

Exactly! The initial cost of the Defender translates to EAC of ₹5,93,550. What about the operating cost?

Student 4
Student 4

That’s already in annual terms, so we just use ₹1,35,000 directly.

Teacher
Teacher

Correct! And what’s the final calculation if we factor in the salvage value?

Student 1
Student 1

We find the EAC for salvage value at ₹98,280 and subtract it from total outflows?

Teacher
Teacher

Precisely! After adding the operating cost, the total EAC for the Defender is ₹6,30,270. Keep this EAC in mind as we compare it to the Challenger’s total EAC!

Comparison of Defender and Challenger

Unlock Audio Lesson

0:00
Teacher
Teacher

Now that we have the EAC for the Defender, let’s compare it with the Challenger’s figure, which is ₹6,18,890. What does this indicate?

Student 2
Student 2

The Challenger costs less to hold over time?

Teacher
Teacher

Yes! Therefore, it’s advisable to replace the Defender with the Challenger. This is the classic decision point in equipment management - always seek lower costs!

Student 3
Student 3

That's a straightforward way to make a decision!

Teacher
Teacher

Indeed! Always consider both current operating costs and potential future value. Remember: 'Cheaper can mean better' if all factors align.

Student 4
Student 4

Thank you for clarifying! I see the importance of these calculations.

Introduction & Overview

Read a summary of the section's main ideas. Choose from Basic, Medium, or Detailed.

Quick Overview

This section examines how to calculate and compare the equivalent annual costs of two machines: the Defender and the Challenger.

Standard

The section explains the replacement analysis for existing equipment (Defender) versus proposed equipment (Challenger) by examining their operating costs, salvage values, and relevant cash flows to determine the more cost-effective option over a specified period of time.

Detailed

In this section, we perform an analysis of the Defender and Challenger equipment, focusing on their respective operating and maintenance costs, salvage values, and overall cost implications over a five-year period. The Defender currently incurs operating costs of ₹1,35,000 annually, while the Challenger's costs are lower at ₹90,000. The salvage values at the end of the analysis period are ₹6,00,000 for the Defender and ₹12,00,000 for the Challenger. By using the time value of money and calculating the Equivalent Annual Cost (EAC), we can determine if the current equipment (Defender) should be replaced by the Challenger, based on which option presents a lower cost liability. Through this analysis, it becomes clear that the Challenger is the more economical choice, as it has a lower EAC.

Audio Book

Dive deep into the subject with an immersive audiobook experience.

Comparison of Defender and Challenger Costs

Unlock Audio Book

Signup and Enroll to the course for listening the Audio Book

So, this is all about your defender that is the current equipment. Now let us discuss about the challenger, that is a proposed equipment. The challenger's annual operating and maintenance cost is 90,000. So, you can see that it is lesser than your old equipment, so lesser than your defender. So, the defender operating and maintenance cost is 1,35,000 but your challenger operating cost is 90,000, so it is lesser. And the salvage value for the challenger is 12,00,000 after 5 years. So, the life of the challenger we are considering is for 5 years, investment cost is 10% per year.

Detailed Explanation

In this chunk, we introduce two pieces of equipment: the 'defender' which is the current equipment and the 'challenger' which is a proposed new equipment. The challenger has a lower annual operating and maintenance cost of 90,000 compared to the defender's cost of 1,35,000. Additionally, the challenger will have a salvage value of 12,00,000 after five years, while the decision-making process involves considering the investment cost at 10% per year over the same five years.

Examples & Analogies

Imagine you own an old car (the defender) that costs you 13,500 per year for maintenance. You find a new car (the challenger) that costs only 9,000 per year to maintain and will still have some value (salvage value) of 120,000 when you sell it after five years. It makes sense to consider switching to the new car since it can save you money in the long run.

Irrelevant Costs in Replacement Analysis

Unlock Audio Book

Signup and Enroll to the course for listening the Audio Book

Now let us look into the information about the defender. So, for the replacement analysis, as I told you your initial estimates should be ignored or neglected, they are not relevant. Your initial purchase price 35,00,000 it should not be considered in the replacement analysis. And similarly your initial estimate of salvage value 7,00,000 should not be considered. And the estimated current book value using your depreciation accounting method 23,80,000 is also not relevant in the analysis. And the estimated life initial estimate based upon the remaining life was found to be 6 years, this 6 years is also not considered.

Detailed Explanation

In this section, we explain that certain costs are irrelevant when conducting a replacement analysis. These include the initial purchase price of the current equipment (defender), its initial estimated salvage value, its current book value derived from depreciation, and the estimated remaining useful life. The key takeaway is that only present and future costs should influence the decision to replace equipment.

Examples & Analogies

Think of it like deciding whether to buy a new smartphone. You shouldn’t let the original price you paid for your old phone influence your decision to buy a better one now; instead, focus on the current performance and the price of the new phone compared to what you'll save or gain from getting a new device.

Relevant Information for Defender Replacement

Unlock Audio Book

Signup and Enroll to the course for listening the Audio Book

Now for the existing equipment that is defender what are all relevant in the replacement analysis or what are all to be considered in the replacement analysis, let us see that. Current market value is 22,50,000, this is your initial cost of your the first cost of your defender, this is what we are going to consider, what is your current trading value of the machine in the market. Now the salvage value, the final estimate of salvage value the recent estimate is 6,00,000, that you have to consider.

Detailed Explanation

This part discusses what factors are important in deciding whether or not to replace the defender. The current market value is a crucial factor, noted at 22,50,000, which reflects what the equipment can be sold for today. Additionally, the salvage value after the remaining use will be 6,00,000, which factors into the total cost of holding onto the defender, providing a vital comparison point against the challenger.

Examples & Analogies

Returning to our car analogy, when considering whether to upgrade your car, you would look at what you could sell your current car for (the current market value) as well as what you expect it to be worth at the end of the next five years (salvage value). This way, you can make a more informed decision about the cost-effectiveness of keeping your old car versus buying a new one.

Equivalent Annual Cost Calculation

Unlock Audio Book

Signup and Enroll to the course for listening the Audio Book

So, based upon this you are supposed to calculate the equivalent annual cost of the defender. We are going to estimate the equivalent annual cost of the defender. So, for that you need to draw the cash flow diagram. Let us draw the cash flow diagram and do the analysis. So, now the first cost of the defender is the current trading value of your machine, that is nothing but 22,50,000. Every year the operating cost is going to be the same and it is found to be 1,35,000, so the remaining life of the machine estimated is 5 years, you can see 5 years. At the end of 5th year, when you sell it you are going to get a cash inflow of 6,00,000.

Detailed Explanation

In this part, we set out to estimate the equivalent annual cost (EAC) of holding the defender by considering its initial cost, the annual operating expenses, and the expected cash inflow from its salvage value after five years. Drawing a cash flow diagram helps visualize these costs over time. The cash flow diagram thus highlights all expected outflows and inflows, which is critical to calculating the EAC accurately.

Examples & Analogies

Imagine budgeting for your expenses over a year. You start with the price of the smartphone you bought (the initial cost), add what you spend on it each month (operating costs), and finally consider how much you could sell it for at the end of the year (salvage value). By analyzing these together, you can determine how viable it is to keep using it.

Calculating Equivalent Annual Cost Using Factors

Unlock Audio Book

Signup and Enroll to the course for listening the Audio Book

So, how to estimate the equivalent annual cost? You are going to convert this values all this values to time period of t = 0. So, now what you do is, your initial cost of the defender, initial cost of the defender is 22,50,000. So, this one you are going to convert into equivalent annual cost. Equivalent annual cost of 22,50,000, so you need to calculate A for know P, i and n.

Detailed Explanation

Here, we explain how the initial cost of the defender will be converted into an equivalent annual cost (EAC) using financial formulas. It involves calculating the capital recovery factor to determine what the cost of the defender would look like on an annual basis over its useful life, which is defined here as five years at an interest rate of 10%. The EAC allows us to better compare the ongoing costs of the defender versus the challenger.

Examples & Analogies

Consider this as similar to figuring out how much you would need to pay every month if you financed your new smartphone over a period of time. Instead of looking at its total cost, you'd want to know a manageable monthly payment that includes all of your financing costs in a way that’s easy to understand.

Final Equivalent Annual Cost Calculation

Unlock Audio Book

Signup and Enroll to the course for listening the Audio Book

So, when you simplify, you will get this value. So, the annualize initial cost of the defender is 5,93,550, this is your outflow. Your operating cost is your cash outflow 1,35,000 add both the cash outflows, you will get the total outflow, then what is your inflow? Your inflow is nothing but your salvage value 98,280 you subtract it from the added value. You will get the final equivalent annual cost of the defender or the annual worth of the defender as 6,30,270.

Detailed Explanation

Finally, we calculate the total equivalent annual cost by taking the calculated annualized initial cost of the defender, adding the yearly operating costs, and then subtracting the annualized value of the salvage. The final EAC of 6,30,270 gives us a clear picture of the total cost of keeping the defender operating over the next five years.

Examples & Analogies

Continuing with our car analogy, this is like adding up all your yearly payments, maintenance, and subtracted savings from selling it in the future to get a total annual cost of ownership. This final figure helps you gauge whether it’s worth keeping the car or switching to a different one.

Comparison and Decision-Making

Unlock Audio Book

Signup and Enroll to the course for listening the Audio Book

From the above calculations you confine that the equivalent uniform annual cost of the defender is 630270. So, it is more than that of the equivalent annual cost of challenger which is 6,18,890. Hence it is advisable to replace your defender with a challenger.

Detailed Explanation

In this closing chunk, we summarize the findings of the EAC calculations. It reveals that the cost of maintaining the defender is higher compared to the challenger. This information leads to the recommendation that the defender should be replaced with the more cost-effective challenger based on the equivalent annual costs calculated.

Examples & Analogies

Think of a subscription service where you're paying a high monthly fee for a streaming service that doesn’t offer much value versus a cheaper service that includes everything you want. It makes sense to switch to the better value because it ultimately saves you money—even if it means letting go of the old subscription.

Definitions & Key Concepts

Learn essential terms and foundational ideas that form the basis of the topic.

Key Concepts

  • Total Cost Analysis: Incorporates all potential operating costs and salvage values in decision-making.

  • Cost Comparison: Evaluate which asset has lower overall costs over a specified period.

  • Equipment Replacement: Making informed decisions to keep or replace equipment based on financial projections.

Examples & Real-Life Applications

See how the concepts apply in real-world scenarios to understand their practical implications.

Examples

  • If the operating cost of the Defender is significantly higher than that of the Challenger, even minor differences in salvage value could lead to substantial savings over time.

  • In a scenario where both machines have similar initial costs, the lower operating expenses and higher salvage value of the Challenger will influence the final decision.

Memory Aids

Use mnemonics, acronyms, or visual cues to help remember key information more easily.

🎵 Rhymes Time

  • When costs are high, and savings low, choose the Challenger, let profits grow.

📖 Fascinating Stories

  • Imagine you own two cars. The Defender is old and spills oil, while the Challenger runs smooth and saves gas. Each month, the Challenger's lower running costs add up, saving you money for trips!

🧠 Other Memory Gems

  • COST = Current costs, Operating savings, Sunk costs ignored, Timing matters.

🎯 Super Acronyms

EAC - Equivalent Annual Cost, Evaluating Assets that are Comparable.

Flash Cards

Review key concepts with flashcards.

Glossary of Terms

Review the Definitions for terms.

  • Term: Equivalent Annual Cost (EAC)

    Definition:

    A method used to compare the cost of different assets by converting all costs and revenues into an annualized form.

  • Term: Operating Costs

    Definition:

    Costs incurred during the ongoing use of an asset, including maintenance, repairs, and utilities.

  • Term: Salvage Value

    Definition:

    The estimated value that an asset will realize upon its sale at the end of its useful life.

  • Term: Sunk Cost

    Definition:

    A cost that has already been incurred and cannot be recovered, and is ignored in future decision-making.

  • Term: Time Value of Money

    Definition:

    The concept that money available now is worth more than the same amount in the future due to its potential earning capacity.