4. Ownership Cost Calculation

The equivalent uniform annual cost of initial cost = Initial cost × [ (i(1+i)ⁿ) / ((1+i)ⁿ - 1) ] Initial Cost: ₹ 2,89,00,000 Interest Rate (i): 8% Useful Life (n): 12.5 years Annualized Initial Cost = ₹ 37,41,844.41/year.

To calculate the equivalent uniform annual cost of the initial cost, we use a specific formula that takes into account the interest rate and the useful life of the investment. Here, we have an initial cost of ₹ 2,89,00,000. Using the formula, we can find the annualized cost over 12.5 years at an interest rate of 8%. After performing the calculations, we find that the annualized cost amounts to ₹ 37,41,844.41 per year. This means that if you need to pay off the initial amount over 12.5 years with interest, your effective yearly payment will be ₹ 37,41,844.41.

Think of it like buying a car. If you buy a car for ₹ 2,89,00,000 and take a loan at an interest rate of 8% to pay it off over 12.5 years, instead of paying the full amount upfront, you will be paying smaller amounts of ₹ 37,41,844.41 every year until the loan is settled. This makes it easier to manage payments rather than a large sum all at once.

Equivalent uniform annual cost of salvage value = Salvage Value × [ (i) / ((1+i)ⁿ - 1) ]
Salvage Value: ₹ 57,80,000 (20% of initial cost) Annualized Salvage Value = ₹ 2,85,968.88/year.

Next, we need to assess the salvage value of our asset, which is the expected value when it is sold at the end of its useful life. Here, we've calculated the salvage value as 20% of the initial cost, which is ₹ 57,80,000. We again use a formula similar to the one for the initial cost. After calculating, the annualized salvage value is found to be ₹ 2,85,968.88. This figure represents an amount we can expect to receive each year in present value terms, based on the salvage value.

Imagine if you sell your car for ₹ 57,80,000 after 12.5 years of using it. Just like before, instead of thinking of that final amount as just a lump sum, we convert it to an annual figure that reflects what you could expect or value each year from selling the car after its usage. So, every year, think of it as if you’re setting aside or earning ₹ 2,85,968.88 from that future sale.

Hourly Depreciation = (Annualized Initial Cost - Annualized Salvage Value) / Annual Use of Machine in Hours = (₹ 37,41,844.41 - ₹ 2,85,968.88) / 1600 hours = ₹ 2159.92/hour.

To find the hourly depreciation of the equipment, we take the annualized cost of using the machine and subtract the annualized salvage value. This difference represents the actual cost of using the machine. We then divide this figure by the total hours the machine is expected to operate in a year, which is 1600 hours in this example. After performing the calculation, the hourly depreciation comes out to ₹ 2159.92. This means for every hour the machine is running, you are effectively 'losing' ₹ 2159.92 in value.

Think of it like a bicycle you bought for ₹ 37,41,844.41. If you know you can sell it for ₹ 2,85,968.88 after a year, you can calculate how much value the bike loses each hour you ride it. So if you ride it for 1600 hours, that breakdown of depreciation makes it clear how much each ride is costing you in terms of the bike's value.

Insurance = 2% of (Initial Cost - Tire Cost) / Annual Use Taxes = 3% of (Initial Cost - Tire Cost) / Annual Use Hourly Insurance Cost = ₹ 361.25/hour Hourly Taxes = ₹ 541.88/hour.

The ownership cost of equipment is not only determined by depreciation but also includes additional costs like insurance and taxes. To find these, we calculate them as percentages of the initial cost (minus tire costs) and divide by the annual use of the equipment in hours. Here, insurance costs ₹ 361.25 per hour and taxes add another ₹ 541.88. These costs are important because they represent ongoing financial obligations that occur while the equipment is in use.

Consider owning a car (or your earlier bicycle!). Just like you pay a monthly insurance fee and maybe some taxes on it, these costs accumulate every hour you use the vehicle. So just like understanding the depreciation gives a clearer picture of value loss, these additional costs give a clearer cost of ownership when you operate your vehicle.

Total Hourly Ownership Cost = Hourly Depreciation + Hourly Insurance + Hourly Taxes = ₹ 2159.92 + ₹ 361.25 + ₹ 541.88 = ₹ 3063.05/hour.

Finally, we aggregate all the different components of ownership costs to come up with a total hourly ownership cost. By adding the hourly depreciation, insurance, and taxes together, we find that the total ownership cost is ₹ 3063.05 per hour. This metric gives a comprehensive look at how much it costs to own and operate the equipment for every hour of usage.

Using the previous car analogy again, if you think of the total placing all the costs together – depreciation (how much value is lost), insurance (protection you pay for), and taxes (government fees) – the total per hour gives you a clear budget for how much you need to set aside every hour you drive it.

--