3.2. Conversion of Initial Cost to EAC

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.

In this section, we're introduced to two pieces of equipment: the defender, which is the currently used equipment, and the challenger, which is the proposed replacement. The primary focus is on comparing their operating and maintenance costs. The defender costs ₹1,35,000 annually, while the challenger costs only ₹90,000. This helps us evaluate the economic feasibility of replacing the defender with the challenger.

Think of it like comparing two cars: you own an SUV that costs you a lot in fuel and maintenance each year. Now you find a smaller car that uses less fuel and needs fewer repairs. Comparing these costs helps you decide whether to keep your old car or switch to the new one.

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 is should not be considered. And the estimated current book value using your depreciation accounting method 23,80,000, it is also not relevant in the analysis.

In this portion, we learn that for a proper replacement analysis, certain costs that pertained to the initial purchase and old estimates should be disregarded. This includes the initial purchase price of ₹35,00,000, the salvage value of ₹7,00,000, and the depreciated book value of ₹23,80,000. The rationale is that these costs do not affect the decision on whether to replace the current equipment based on current economic conditions.

Imagine a situation where you decide to sell your house. The money you originally spent on buying it doesn't matter anymore when determining its selling price today. What's important is the current market conditions and how much you can sell it for now.

And also, as I told you your sunk cost, so what is the sunk cost? So, it is an estimated book value of the machine, this is the estimated book value of the machine using depreciation accounting method it is currently 3,80,000. But your current trading value is only 22,50,000 this difference cannot be recovered, this difference is called as the sunk cost, this is a cost which is spent and it is lost, it cannot be recovered.

Here, we're introduced to the concept of sunk costs, which are expenses that have already been incurred and cannot be recovered. For the defender, the estimated book value is ₹3,80,000, while the market value is ₹22,50,000. Since the book value does not reflect potential recovery, it becomes a sunk cost and shouldn't be considered in any further financial decision-making.

Think of sunk costs like the money you spent on a concert ticket for a show that got canceled. You can't get that money back, so it shouldn't affect your decision on whether to buy tickets to a different show. You should only consider what you can recover from here on out.

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.

This chunk highlights the costs that are important for the replacement decision. The current market value of the defender is ₹22,50,000, which is something we need to consider in our analysis. Additionally, the updated salvage value after 5 years is estimated at ₹6,00,000, and this figure is also crucial for understanding the potential return on investment if the defender is sold later on.

Picture a smartphone you've owned for a couple of years. If you're thinking of selling it, you'll want to know how much it's worth today and what price you could get for it in a resale market. These current values help you make an informed decision about upgrading or keeping your device.

So, now the first cost of the defender is the current, this is nothing but your current trading value of your machine, that is nothing but 22,50,000. Every year the operating cost is going to be 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.

In this section, we construct a cash flow diagram for the defender, which helps illustrate and visualize the cash movements associated with the equipment. Starting with the initial cost of ₹22,50,000, we note an annual operating cost of ₹1,35,000, observed consistently over 5 years. In year 5, the defender can be sold for ₹6,00,000, representing a cash inflow at the end of its useful life.

Think of this cash flow diagram as a financial timeline, similar to planning a budget for a significant event like a wedding. You start with an initial budget (the cost of the venue), you have ongoing expenses (catering, floral arrangements), and finally, any refunds or returns you hope to receive after the event.

So, based upon this you can estimate the equivalent annual cost. 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.

In this section, we focus on how to calculate the Equivalent Annual Cost (EAC), which summarizes the total cost per year of owning the defender. The initial cost of the defender is taken at time t = 0, meaning we will base our calculations on its present value and convert it into an annual cost over its lifespan (5 years). This calculation is essential to compare with the challenger’s costs accurately.

This calculation is akin to determining how much it costs monthly to lease a car. You take the car's purchase price and distribute it over the lease duration, so you know your expense each month, hence making comparisons with other vehicle options clearer.

This present value, I am going to convert it into equivalent annual cost, so how to do that? Equivalent annual cost of 22,50,000, so you need to calculate A for know P, i and n. So, what is P? P here is present value 22,50,000, interest rate is 10% 0.1 and number of years is 5.

To convert the initial cost into an annualized format, the Uniform Series Capital Recovery Factor (USCRF) is used. We calculate A, the annual cost, by using P (the present value of the initial cost), the interest rate, and the number of years. The formula helps spread out the initial investment into equal annual payments, making it comparable to the challenger's annual costs.

Think of how mortgage payments are structured: instead of paying off the entire home cost at once, you make monthly payments calculated to cover the principal plus interest, allowing for a more manageable way to finance over time.

So, let me summarize whatever I have discussed so far. So, you are finding the annual worth or the equivalent annual cost of your defender. So, first you are converting the initial cost of the defender, it is 22,50,000 into equivalent annual cost using uniform series capital recovery factor. Your operating cost is already in the annualized form, no need to convert.

Finally, we summarize the process for calculating the full Equivalent Annual Cost (EAC) for the defender. Starting with the initial cost of ₹22,50,000, we calculate the EAC and add the annual operating costs of ₹1,35,000, maintaining that they are already annualized. The outcome gives a clearer picture of what the total yearly cost of operating the defender will be.

This is similar to preparing a yearly expense report for your business. You sum up all fixed (like lease payments) and variable expenses (like office supplies) to get a complete understanding of your annual expenditure, which you can then use to evaluate profitability.

Now let us compare, from the above calculations you find 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.

In the concluding section, we draw conclusions from our calculations. We find that the Equivalent Annual Cost (EAC) of the defender is ₹6,30,270 while that of the challenger is ₹6,18,890. Since the challenger has a lower equivalent cost, it is recommended to replace the defender with the challenger to minimize overall expenses moving forward.

This scenario is very similar to choosing a phone plan. If one plan is cheaper and offers the same service compared to your current plan, it clearly makes more sense to switch plans to save money without sacrificing quality.

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