A Firm Is Reviewing a Project That Has an Initial Cost of $85000

Nether payback method, an investment projection is accepted or rejected on the footing of payback menses. Payback period means the menstruation of time that a project requires to recover the money invested in it. It is mostly expressed in years.

Unlike net present value and internal rate of return method, payback method does not take into account the fourth dimension value of money.

According to payback method, the projection that promises a quick recovery of initial investment is considered desirable. If the payback menses of a project is shorter than or equal to the direction'south maximum desired payback menstruum, the project is accustomed, otherwise rejected. For example, if a visitor wants to recoup the cost of a machine within 5 years of purchase, the maximum desired payback period of the company would be 5 years. The buy of car would be desirable if it promises a payback period of v years or less.

Payback menstruum formula for even cash catamenia:

When internet annual cash inflow is even (i.due east., same cash flow every period), the payback period of the project can be computed by simply dividing the initial investment past the almanac arrival of cash, as shown by the post-obit formula:

*The denominator of the formula becomes incremental cash flow if an onetime asset (e.chiliad., automobile or equipment etc.) is replaced by a new one.

Example 1:

The Delta company is planning to purchase a auto known as motorcar Ten. Auto Ten would toll $25,000 and would accept a useful life of 10 years with cypher salvage value. The expected annual cash arrival of the machine is $10,000.

Required: Compute payback menstruation of machine X and conclude whether or not the car would be purchased if the maximum desired payback menstruum of Delta company is three years.

Solution:

Since the annual cash inflow is even in this project, nosotros can simply divide the initial investment by the annual greenbacks inflow to compute the payback menstruation. It is shown below:

Payback menstruum = $25,000/$10,000
= ii.5 years

Co-ordinate to payback period analysis, the buy of machine X is desirable because its payback menses is 2.v years which is shorter than the maximum payback menstruum of the company.

Example 2:

Due to increased demand, the management of Rani Potable Company is considering to purchase a new equipment to increase the product and revenues. The useful life of the equipment is 10 years and the company's maximum desired payback period is four years.  The inflow and outflow of cash associated with the new equipment is given below:

Initial cost of equipment: $37,500

Annual cash inflows:

Sales: $75,000

Annual cash Outflows:

Cost of ingredients: $45,000
Salaries expenses: $13,500
Maintenance expenses: $1,500

Not cash expenses:

Depreciation expense: $5,000

Required: Should Rani Beverage Company purchase the new equipment? Employ payback method for your answer.

Solution:

Step 1: In order to compute the payback menstruum of the equipment, we demand to workout the internet annual cash inflow by deducting the total of greenbacks outflow from the full of cash inflow associated with the equipment.

Computation of net almanac cash inflow:

$75,000 – ($45,000 + $13,500 + $1,500)
= $xv,000

Step 2: At present, the amount of investment required to purchase the equipment would be divided by the amount of internet annual cash inflow (computed in step ane) to find the payback flow of the equipment.

= $37,500/$xv,000
=2.5 years

Depreciation is a non-cash expense and has therefore been ignored while calculating the payback period of the project.

According to payback method, the equipment should be purchased considering the payback flow of the equipment is 2.5 years which is shorter than the maximum desired payback period of iv years.

Comparing of two or more alternatives – choosing from several alternative projects:

Where funds are express and several alternative projects are being considered, the project with the shortest payback period is preferred. Information technology is explained with the assist of the following example:

Example three:

The management of Health Supplement Inc. wants to reduce its labor toll by installing a new machine. Ii types of machines are available in the marketplace – machine X and automobile Y. Machine X would cost $18,000 where as automobile Y would toll $fifteen,000. Both the machines can reduce annual labor cost past $3,000.

Required: Which is the best automobile to purchase according to payback method?

Solution:

Payback period of motorcar X: $18,000/$3,000 = vi years
Payback period of machine Y: $15,000/$three,000 = five years

According to payback method, auto Y is more desirable than machine X because it has a shorter payback period than car X.

A D V E R T I S E M E N T

Payback method with uneven cash flow:

In the above examples we have causeless that the projects generate fifty-fifty cash inflow only many projects normally generate uneven greenbacks menses. When projects generate inconsistent or uneven greenbacks inflow (dissimilar greenbacks inflow in different periods), the simple formula given higher up cannot be used to compute payback period. In such situations, we need to compute the cumulative cash inflow and so apply the following formula:

Example iv:

An investment of $200,000 is expected to generate the following cash inflows in half-dozen years:

Year 1: $70,000
Yr 2: $60,000
Yr 3: $55,000
Year 4: $xl,000
Twelvemonth 5: $30,000
Yr 6: $25,000

Required: Compute payback period of the investment. Should the investment be made if management wants to recover the initial investment in 3 years or less?

Solution:

(one). Because the cash inflow is uneven, the payback menstruation formula cannot exist used to compute the payback period. Nosotros can compute the payback menses by computing the cumulative internet greenbacks flow as follows:

Payback period = iii + (xv,000*/40,000)
= 3 + 0.375
= 3.375 Years

*Unrecovered investment at start of 4th year:
= Initial price – Cumulative cash inflow at the end of 3rd year
= $200,000 – $185,000
= $15,000

The payback period for this project is three.375 years which is longer than the maximum desired payback period of the direction (3 years). The investment in this projection is therefore not desirable.

Advantages and disadvantages of payback method:

Some advantages and disadvantages of payback method are given beneath:

Advantages:

1. An investment project with a short payback menses promises the quick inflow of greenbacks. It is therefore, a useful upper-case letter budgeting method for cash poor firms.
2. A project with short payback flow can improve the liquidity position of the business apace. The payback period is important for the firms for which liquidity is very of import.
3. An investment with brusk payback menstruation makes the funds available soon to invest in another project.
4. A short payback period reduces the take chances of loss caused by changing economical conditions and other unavoidable reasons.
5. Payback period is very easy to compute and utilise.

Disadvantages:

1. The payback method does not take into account the time value of coin.
2. It does not consider the useful life of the assets and arrival of cash that the project may generate after its payback catamenia. For example, ii projects, project A and project B, both crave an initial investment of $5,000. Project A generates an annual cash arrival of $1,000 for 5 years whereas project B too generates an annual cash arrival of $1,000 merely for 7 years. It is articulate that the project B is going to be more than profitable than project A, simply according to payback method, both the projects are equally desirable, because both accept a payback period of five years (= $5,000/$one,000).

More than from Capital budgeting techniques (explanations):

A D V Eastward R T I S E Grand E N T

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Source: https://www.accountingformanagement.org/payback-method/