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A short class with Sarah and her students. The other ways are under More.
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Today, we're learning about the Equivalent Annual Cost, or EAC. Can anyone tell me what EAC stands for and why it's important?
EAC stands for Equivalent Annual Cost, and it's important because it helps compare costs that occur over different time periods!
Exactly! By converting all costs into an annual figure, we can evaluate and compare total expenses effectively over the lifespan of an asset. Now, let’s look at the purchase price.
So if the purchase price is 3,500,000 and we calculate its EAC, how do we do that?
Great question! We multiply the purchase price by the Uniform Series Capital Recovery Factor. For instance, in Year 3, that factor was found to be 0.4380. Can anyone calculate the EAC for the purchase price?
It's 1,533,000 rupees!
Perfect! EAC for the purchase price is 1,533,000 rupees. This is just one way we analyze costs. Let’s move to operating costs.
Now, can someone explain how we calculate the present worth of operating costs?
We find the present worth factor for the future costs, right?
Exactly! For example, if the operating cost is 113,200 at the end of Year 1, how does that convert to present worth?
We multiply that by the present worth factor, which is 0.8696 for Year 1.
Great work! What’s the calculated present worth?
It’s 98,438.72 rupees.
Now, to determine EAC, we again multiply the present worth by the capital recovery factor. Could someone summarize this method?
We find present worth first, then use the recovery factor to find EAC.
Exactly! You folks are really grasping this.
Let’s now discuss resale or salvage values. Why is this important when calculating total costs?
Because the salvage value can reduce total cost when we’re replacing a machine!
Exactly! This cash inflow offsets our expenses. For instance, if we sell a machine for 31,50,000, how do we convert that to present value?
We find the present worth factor and multiply!
Right! What about the EAC of that salvage value?
We multiply the present worth by the appropriate capital recovery factor.
Correct! This helps sum up the total EAC, don’t forget to subtract this value from our total costs. In summary, what have we learned about salvage value?
We learned it reduces our total costs!
Beautifully said!
Now, how do we combine our calculated EAC from purchase price, operating costs, and salvage value?
We add the EAC of the purchase price and operating costs, then subtract the salvage value!
That’s right! If our EAC for purchase is 40,25,000 and our operating is 1,13,204.53, and the salvage is 31,50,126, what’s the total EAC?
It would be 9,88,078.53!
Exactly! By continuously applying this process over the economic life of machinery, we can make informed replacement decisions. What’s the key takeaway from our discussion today?
We can evaluate total costs effectively over time!
Fantastic summary!
Equivalent Annual Cost provides a unified way to evaluate costs.
Translates present expenses into annual payments.
Allows us to account for future values in present terms.
The cash inflow that offsets costs when the asset is sold.
To find what EAC will be, just multiply, it’s easy to see!
Imagine you just bought a machine. To know how much it costs each year, you simply find the EAC. Now, every year you're told how much to save, making budgeting a breeze!
P.O.S.S.E. - Purchase, Operating Costs, Salvage Value, Summed up for Total EAC.
EAC stands for Every Asset Cost - remember to annualize!
Term
EAC
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Term
Capital Recovery Factor
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Term
Present Worth
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Term
Salvage Value
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A method to express total costs over time in an annual format for comparison.
A factor used to convert present costs into equivalent annual costs.
A factor used to convert future costs into present value.
The estimated resale value of an asset at the end of its useful life.
This section discusses how to calculate the equivalent annual cost (EAC) for a machine, factoring in purchase price, operating and maintenance costs, and salvage value.
In this section, the various components of total cost calculation are explored, including the equivalent annual cost of purchase price, operating and maintenance costs, and the resale value of the machine. The use of capital recovery factors and present worth factors is emphasized for accurate financial analysis across multiple years.
This section explains how to calculate the Total Cost of ownership, focusing on the Equivalent Annual Cost (EAC) associated with the purchase price, operating and maintenance costs, and the resale value of a machine.
The EAC provides a way to compare costs that occur over different time periods. This is essential for making long-term decisions about asset management.
The first step is determining the Cost associated with the purchase price. For instance, using a purchase price of 3,500,000 and a recovery factor for year 3 yields an EAC of 1,533,000 rupees.
Subsequently, the operating and maintenance costs are also converted to present worth to accurately reflect their costs at Year 0. For an operational cost of 113,200 at the end of Year 1, finding its present worth involves using a present worth factor, ultimately allowing us to calculate the EAC of these costs as well.
Through this method, we systematically derive the total cost over all necessary years, accounting for both cash inflows (salvage value) and cash outflows (purchase and operational costs). Finally, the cumulative costs are documented to determine if and when to replace machinery, ultimately aiding in strategic financial decision-making.