4.6. Calculating Hourly Depreciation

So that is what n calculating with this. So there are different applications for this uniform series capital recovery factor. It helps you in determining your known repayment schedule.

The section introduces the uniform series capital recovery factor, which is a financial tool used to determine repayment schedules for loans. This factor essentially helps in figuring out how much needs to be paid back on a loan based on certain known variables, which in this case are the loan amount and the schedule of repayments.

Imagine you buy a car using a loan. The bank will use a formula like the capital recovery factor to determine your monthly payment based on how much you borrowed, how long you will take to pay it off, and the interest rate. This way, you can plan your budget accordingly.

Say another important application in the equipment economics is you know the purchase price of the machine, what you make at the beginning. That is the present value purchase place of the machine is known to you. The present value is known. How to convert it into equivalent uniform cash flows?

This chunk emphasizes the need to convert the initial purchase price of equipment into annual cash flow amounts, referred to as 'A'. This allows businesses to understand how much they will effectively be spending annually over the useful life of the equipment.

Think of this like buying a subscription service. You pay a lump sum for a year, but you want to know how much that translates to monthly. By breaking down the total upfront cost, you can better understand what you can afford each month.

So how to; convert the purchase price into A? So purchase price is known to you, A is unknown. So you can calculate using this uniform series the capital recovery factor.

To calculate the annual cost of owning and operating equipment, the formula involving the uniform series capital recovery factor is applied. This helps in determining the yearly cost from a single upfront cost, enabling better budget planning over the lifespan of the equipment.

Suppose a company buys a printer for $10,000 expecting it to last 5 years. Using the recovery factor formula, they can find out that their annual cost for the printer is actually$2,000 per year, which helps them understand their ongoing expenses.

If you want to know the hourly cost of the machine, which we are going to see in the upcoming slides.

This section hints at the importance of calculating not only the annual costs but also the hourly depreciation of a machine. By determining how much depreciation occurs per hour, businesses can better analyze their operational costs.

Consider a coffee shop with a coffee machine they paid $6,000 for, and it's expected to last 1,200 hours of use per year. By knowing the annual depreciation and dividing it by the hours, they can see how much each cup of coffee really costs if they want to calculate pricing.

So now you know the annualized purchase price, annualized salvage value. If you find the difference you will get your depreciation.

To find the hourly depreciation of a machine, you take the annualized purchase price, subtract the annualized salvage value, and then divide by the total annual operating hours of the machine. This process gives a clear picture of how much value the machine loses each hour of operation.

For example, if the annualized cost of the machine is $10,000 and it has a salvage value of$1,000, the depreciation is $9,000. If the machine operates 2,000 hours a year, the hourly depreciation would be$4.50. This helps in accurately pricing the services offered by the coffee shop.

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