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4.3. Total Hourly Ownership Cost

Interactive Audio Lesson

Session 1: Calculation of Annualized Initial Cost

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Sarah
SarahInstructor

Let's start by understanding how we can determine the annualized initial cost of equipment. Can anyone tell me the formula used for this calculation?

Noah
Noah

Is it the initial cost multiplied by a capital recovery factor?

Sarah
SarahInstructor

Exactly! The formula is: Annualized Initial Cost = Initial Cost × [i(1+i)^n / [(1+i)^n - 1]]. Here, 'i' is the interest rate, and 'n' is the number of years.

Isabella
Isabella

For example, if the initial cost is ₹2,89,00,000 and 'i' is 0.08 for 12.5 years, can you show us how to apply the formula?

Sarah
SarahInstructor

Sure! When we substitute the values, we find: Annualized Cost = ₹2,89,00,000 × {0.08(1+0.08)^(12.5) / [(1+0.08)^(12.5)-1]} = ₹37,41,844.41.

Akash
Akash

So this gives us the equivalent annual cost of the initial investment, right?

Sarah
SarahInstructor

Exactly, it's crucial for understanding how investments translate into regular costs. Let's summarize: the annualized initial cost reflects the yearly cost associated with the initial investment.

Session 2: Calculating Salvage Value

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Robert
RobertInstructor

Now let's talk about the salvage value. How do we calculate its equivalent uniform annual cost?

Ananya
Ananya

Is it similar to how we calculated the annualized cost?

Robert
RobertInstructor

Correct! We use a similar formula but for the sinking fund factor. The formula is: Equivalent Uniform Annual Cost of Salvage = Salvage Value × [i / (1+i)^n - 1].

Noah
Noah

So in our previous example, if the salvage value is 20% of the initial cost, how do we substitute?

Robert
RobertInstructor

Good thinking! If the initial cost is ₹2,89,00,000, the salvage value would be ₹57,80,000. We would plug this into the formula to get: Annualized Salvage Value = ₹2,89,00,000 × 0.2 × [i / (1+i)^{n} - 1].

Isabella
Isabella

And what’s the annualized salvage value we find?

Robert
RobertInstructor

After substitution, the annualized salvage value is ₹2,85,968.88. It represents the expected return at the end of occupancy.

Session 3: Hourly Depreciation Calculation

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Sarah
SarahInstructor

Let’s go deeper into calculating the hourly depreciation. What do we need to determine this?

Akash
Akash

We need the total annualized costs?

Sarah
SarahInstructor

Exactly! We take the annualized initial cost and subtract the annualized salvage value: Hourly Depreciation = (Annualized Initial Cost - Annualized Salvage Value) / Annual Use in Hours.

Ananya
Ananya

What’s the hourly rate given an annual usage of 1600 hours?

Sarah
SarahInstructor

Great question! With the previously calculated values: Hourly Depreciation = (₹37,41,844.41 - ₹2,85,968.88) / 1600 = ₹2,159.92/hr. This tells us how much value the equipment loses per hour of use.

Noah
Noah

This makes it easier to factor depreciation into our operational costs!

Sarah
SarahInstructor

Absolutely! Summarizing: hourly depreciation is crucial for calculating overall tool expenses.

Session 4: Additional Operating Costs

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Robert
RobertInstructor

Now, let’s discuss other ownership costs, starting with insurance. How is it calculated?

Isabella
Isabella

Is it a percentage of the initial cost?

Robert
RobertInstructor

Exactly! In this case, it's 2% of the costs without tires, which translates into an hourly rate as well.

Akash
Akash

So how much is that?

Robert
RobertInstructor

The insurance cost ends up being ₹361.25/hr when divided by the annual usage of 1600 hours.

Ananya
Ananya

What about taxes? How is that done?

Robert
RobertInstructor

Similarly, the tax is calculated at 3% of the initial cost, leading to ₹541.88/hr. When we sum depreciation, insurance, and taxes, we get our total hourly ownership cost.

Noah
Noah

What’s the final ownership cost combination?

Robert
RobertInstructor

That’s ₹3,063.05/hr! This means all these components contribute significantly to our hourly costs. Let’s summarize: ownership costs are fundamental in budgeting.