Question
Desh Fashion is a Bangladeshi garment factory producing clothes for men, women, and children for European and American retailers. Over the last few years, it
Desh Fashion is a Bangladeshi garment factory producing clothes for men, women, and children for European and American retailers. Over the last few years, it has made a substantial amount of profit as the demand for fast fashion has been significantly increasing among young people, in particular. However, recently the company is facing some uncertainties because of the trade war between China and America in addition to Brexit related tensions. Desh Fashion is losing its profitability since the beginning of 2018. To minimise the uncertainties it is facing and secure profit, Desh Fashion has decided to introduce its product to the Asian market, mainly in China.
To pursue the companys dream, the Managing Director (MD) is considering acquiring a few local factories that produce fast fashion for the local market. The top-management approves the decision and prepares a proforma financial statement for the next five years. In the following table, the first three years expected revenues and their probabilities are presented.
Year | Revenue (, 000) | Probability |
2021 | 520 | 40% |
| 550 | 30% |
| 600 | 20% |
| 610 | 10% |
2022 | 740 | 40% |
| 780 | 25% |
| 800 | 20% |
| 820 | 15% |
2023 | 900 | 25% |
| 940 | 35% |
| 970 | 18% |
| 1,000 | 22% |
[CONTINUED]
The respective costs for 2021 are provided below:
Description | Amount (, 000) |
Direct materials cost | 125 |
Direct labour cost | 80 |
Variable manufacturing overhead expense | 30 |
Variable selling and administrative expense | 20 |
Fixed overhead cost | 200 |
Fixed selling and administrative expense | 50 |
The MD is also expecting the following changes to costs in the coming years:
- The cost of direct materials will increase by 10% (compounding) per year.
- The cost of labour will increase by 7.5% (compounding) per year.
- The variable manufacturing cost will keep increasing at the compounding rate of 8% per year.
- The variable selling and administrative expense will increase by 5% (compounding) per year.
- The company is expecting to have to buy new machineries which will cost 100,000 in 2022 and 150,000 in 2023.
- The fixed selling and administrative expenses are expected to increase at the compounding rate of 10% per year.
- The company is expected to pay 15% tax on net profit in 2021. This will increase to 25% from 2022 to onwards.
Required:
- Calculate the expected value of sales and the standard deviation for 2021, 2022 and 2023.
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