4.1 - Calculation of Investment Costs
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Understanding Economic Life
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Today, we're going to discuss the concept of economic life in machinery. Can anyone tell me what economic life means?
Is it the time the machine can be used before it breaks down?
That's partially correct! Economic life refers to the time period during which the costs of holding the machine are minimized. What happens after this period?
Costs start to increase, right?
Exactly! As a machine ages, its maintenance and downtime costs can rise. Remember this with the acronym DOD: Decreasing operation efficiency and increasing downtime costs.
What can we do about it?
A good strategy is to replace the machine once it surpasses its economic life to avoid losses.
So, it’s like knowing when to retire our old machines!
That's a perfect analogy! Now, let's summarize. Economic life is crucial for minimizing costs and determining the best time for replacement.
Calculating Costs and Depreciation
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Next, we need to calculate the costs associated with our machine. Can anyone tell me how we would estimate depreciation?
We could use the double declining balance method, right?
Correct! Let's discuss the formula: Depreciation is calculated as 2 divided by useful life times the book value. Let’s apply it. If the initial cost is ₹35,00,000, what's the depreciation for the first year?
That would be ₹8,75,000!
Great! Now, can anyone tell me how to find the book value at the end of the first year?
We subtract the depreciation from the initial cost, so ₹35,00,000 minus ₹8,75,000 gives ₹26,25,000.
Excellent! Remember, each year’s depreciation will use the previous year's book value. Let's summarize. We calculate depreciation to track the reduction in the asset’s value every year.
Investment Costs
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Now that we understand depreciation, let's move onto investment costs. What factors contribute to total investment costs?
It includes the interest on loans, taxes, and insurance?
Right! We can usually calculate investment costs as a percentage of the machine's average book value. What percentage are we using in our example?
It's 15 percent.
Correct! Let’s calculate the investment costs for the first year. If our average book value is ₹30,62,500, what's the investment cost?
That would be ₹4,59,375!
Great job! Understanding investment costs helps us assess the overall cost of owning a machine.
Cumulative Costs and Replacement Analysis
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Let's discuss cumulative costs per hour. Why do you think it’s important to calculate these?
It shows how the costs are spread out over time, right?
Exactly! The cumulative cost changes as we use the machine more. How do we calculate cumulative cost per hour?
We take the total cumulative costs and divide it by total hours used.
Perfect! At the end of the first year, what was our cumulative cost per hour?
It was ₹542.5 per hour!
Great! As we use our machine longer, these costs generally decrease, making it more efficient. In summary, tracking these costs helps us make informed decisions on when to replace machinery.
Introduction & Overview
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Quick Overview
Standard
The section discusses the concept of economic life of machinery, emphasizing the importance of replacing old machines to avoid increasing costs associated with maintenance, downtime, and obsolescence. It includes methodologies for estimating depreciation, investment costs, and the relationship between costs and machine usage over time.
Detailed
Calculation of Investment Costs
The economic life of a machine refers to the period during which the costs of holding and operating the machine are minimized. Beyond this period, costs such as maintenance, repair, downtime, and obsolescence tend to rise, leading to less efficient operation. This section outlines how to estimate these costs through practical examples and detailed methodologies.
Key Points:
- Economic Life: The optimal time frame for using a machine where its costs are lowest.
- Estimation Example: The section provides a detailed example involving a track-mounted front shovel, including:
- Purchase price: ₹35,00,000
- Useful life: 8 years
- Salvage value: ₹7,00,000
- Annual operating hours: 2000 hours
- Annual cost increase due to inflation: approximately 6%.
- Investment cost: 15% of the book value annually.
- Depreciation: Calculated using the double declining balance method, with the formula presented to calculate depreciation annually.
- Operating Costs: Including maintenance, repair, downtime, and obsolescence costs, which increase over time.
- Cumulative Costs: How to calculate cumulative costs per hour based on the machine’s operating time and costs of investment.
The discussion stresses the importance of analyzing these various costs in a systematic manner to determine the most advantageous time frame for replacing machinery.
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Understanding Economic Life
Chapter 1 of 5
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Chapter Content
So, basically that is what is this economic life. Economic life means it is a time during which the cost of holding the machine will be minimum. So, beyond the economic life you can see that there will be increasing costs associated with the machine, either due to increase in the operating cost that is repair and the maintenance costs or increase in downtime costs or increasing obsolescence cost.
Detailed Explanation
Economic life refers to the optimal period during which an asset, such as a machine, operates efficiently and economically. Up to its economic life, the costs associated with the asset—like repairs, maintenance, and downtime—are lower. However, once the economic life ends, these costs start to escalate, leading to higher total costs as the machine ages and potentially becomes less effective.
Examples & Analogies
Consider a car, which, for the first five years, requires minimal maintenance and runs efficiently. After five years, however, repairs become more frequent and costly—like needing new brakes or tires—making it less economical to keep. This represents the concept of economic life.
Case Study: Track Mounted Front Shovel
Chapter 2 of 5
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Chapter Content
In this example, we are going to see how to estimate the economic life of the machine. So, basically, so, here we are going to estimate economic life for a track mounted front shovel. The purchase price is 35,00,000. So, the machine is expected to last for 8 useful years and the depreciation is assumed to follow double declining balance method.
Detailed Explanation
In this case study, the track-mounted front shovel is purchased for 35,00,000 and is expected to last 8 years. To assess its economic life, we apply the double declining balance method of depreciation, which accelerates the depreciation in the early years of the machine’s life. This technique helps in understanding how quickly the machine's value decreases over its useful life.
Examples & Analogies
Imagine you buy a new laptop for a significant amount of money. Initially, it may lose value quickly as newer models are released, similar to a machine used in construction. This rapid depreciation reflects its declining worth over time, mimicking what happens with business equipment.
Estimating Depreciation
Chapter 3 of 5
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To get the depreciation using double declining balance method, we apply the formula. The first year depreciation D1 is calculated as 2/n × Book Value of the previous year. For the first year, D1 = 2/8 × 35,00,000 = 8,75,000. After 1 year, book value is 35,00,000 - 8,75,000 = 26,25,000.
Detailed Explanation
The double declining balance method accelerates depreciation by applying a constant rate to the declining book value of the asset each year. For our example, we compute the first year's depreciation as 8,75,000, significantly reducing the machine's book value to 26,25,000 for the second year, and this process repeats for subsequent years.
Examples & Analogies
Think of a new phone that loses value rapidly in its first year due to constant releases of newer models. The same principle applies when we compute depreciation—showing how quickly assets lose their initial value.
Inflation and Increasing Costs
Chapter 4 of 5
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Chapter Content
Due to inflation, the average cost of the equipment increases approximately by 6% per year. This means that the machine cost is going to increase by 2,10,000 every year due to the effect of inflation, which has to be considered during replacement analysis.
Detailed Explanation
Inflation impacts the future costs of machinery, leading to an annual increase in its cost of 6%. This increase adds an important factor in replacement analysis, as it implies that one must account for rising costs when considering whether to keep or replace a machine.
Examples & Analogies
Consider how the price of groceries increases each year due to inflation. If you’re budgeting for future expenses, you have to account for this rise, similarly to how companies must factor in rising machinery costs when planning replacements.
Cumulative Costs and Replacement Analysis
Chapter 5 of 5
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Chapter Content
This replacement analysis involves evaluating all costs associated with machine ownership, including depreciation, inflation, and maintenance. Cumulative investment costs per hour can be calculated along with their impact across multiple years of use.
Detailed Explanation
Cumulative costs refer to the total investment over time, highlighting how each logistical aspect (like depreciation and inflation) compounds when assessing whether to maintain or replace equipment. This cumulative perspective provides insights into the 'true cost' of retaining machinery versus investing in new assets.
Examples & Analogies
If you keep a car for many years, all the maintenance, repair, and fuel costs accumulate. You might eventually spend more than a new one would cost due to constant repairs and inefficiencies, demonstrating the importance of cumulative cost analysis.
Key Concepts
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Economic Life: The optimal period for machine usage.
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Depreciation: Annual reduction in asset value.
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Investment Cost: Annual percentage of machine book value.
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Cumulative Costs: Total costs per hour of operation.
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Obsolescence: Loss of value due to aging and technology.
Examples & Applications
A truck costing ₹35,00,000 with a salvage value of ₹7,00,000 over 8 years helps calculate its economic life and associated costs.
Calculating depreciation using the double declining balance method illustrates how the asset's value decreases over time.
Memory Aids
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Rhymes
To keep the costs low, replace the old, let new machines be bold.
Stories
Once, a wise factory owner knew the economic life of each machine. He replaced his old conveyor even though it seemed fine, saving costs over time.
Memory Tools
Remember DOD: Decreasing Operation costs and Downtime as machinery ages.
Acronyms
MECA
Manage Economic life
Calculate Accumulated costs.
Flash Cards
Glossary
- Economic Life
The period during which the costs of holding and operating a machine are minimized.
- Depreciation
The reduction in the book value of an asset over time due to usage, wear, and tear.
- Investment Cost
The total costs associated with the investment in machinery, typically calculated as a percentage of the book value.
- Cumulative Costs
The total costs accumulated up to a certain point in time, often expressed per hour of operation.
- Obsolescence
The reduced value of machinery due to aging and technological advancements, leading to productivity loss.
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