Payback Period Problems and Solutions

Question 1: Company A is considering a project that requires initial investment of Rs. 2 million. The finance manager believes that the project will generate future cash inflows of Rupees 30,000, 38,000, 25,000, 22,000, 36,000, 40,000, 40,000, 28,000, 24,000 and 24,000 from year 1 to year 10. You are required to calculate Payback Period.

Solution

YearsCash inflowsCumulative
130,000cash inflows
238,00030,000
325,00068,000
422,00093.000
536,0001,15,000
640,0001,51,000
740,0001,91,000
828,0002,31,000
924,0002,59,000
1024,0002,83,000
3,07,000

TCCL is a cement manufacturing company. In order to meet the increased demand of its products, it has decided to upgrade the plant capacity. There are three plant variants are available which the management is considering to choose. Following details are available with sales figure based on cash basis. Interest on capital is 10% while applicable tax rate on company is 40%. You are required to analyse the three options using Payback Period.

Particulars Plant 1 Plant 2 Plant 3
Initial investment required 3,00,000 3,00,000 3,00,000
Estimated annual turnover/ sales 5,00,000 4,00,000 4,50,000
Production cost (estimated) :      
Direct materials 40,000 50,000 48,000
puricularsMachine 1Machine 2Machine 3
Direct labour50,00030,00036,000
Factory overheads60,00050,00058,000
Administration costs20,00010,00015,000
Selling and distribution costs10,00010,00010,000

The useful life of plant 1 is 2 years, while for other plants it is 3 years. The scrap values of the plants are 40,000, 25,000 and 30,000 respectively.
Required:
Analyse the three expansion options using Pay Back Period.

Solution

Plant 1Plant 2Plant 3
Initial investment(i)3,00,0003,00,0003,00,000
Sales(a)5,00,0004,00,0004,50,000
Costs :
Direct material40,00050,00048,000
Direct labour50,00030,00036,000
Factory overhead60,00050,00058,000
Depreciation1,30,00091,66790,000
Administration cost20,00010,00015,000
Selling and distribution10,00010,00010,000
Interest on capital30,00030,00030,000
Total cost(b)3,40,0002,71,6672,87,000
Profit before tax(a) (b)1,60,0001,28,3331,63,000
Less: Tax @ 40%64,00051,33365,200
96,00077,00097,800
Profit after tax1,30,00091,66790,000
Add : Depreciation
Net cash flow(ii)2,26,0001,68,6671,87,800
Pay back period (years)(i)/(ii)1.331.781.60

As plant 1 has low pay back period, it is the preferred option.

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