4.1. Final Equivalent Annual Cost for Defender

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.

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.

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.

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.

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.

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.

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 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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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