Question 1
a) Cash Budget of the Landscaping Business for the three months ending September 2018:
|
July
|
August
|
September
|
Opening balance
|
$26,500
|
-$74,000
|
$61,800
|
Add: Cash Receipts
|
|
|
Fees
|
$1,40,000
|
$1,60,000
|
$2,00,000
|
Proceeds from sale of surplus non-current assets
|
$1,00,000
|
|
Total cash available
|
$1,66,500
|
$1,86,000
|
$2,61,800
|
Less: Cash payments
|
|
|
Salaries and wages
|
$70,000
|
$70,000
|
$70,000
|
Supplies
|
$8,500
|
$9,200
|
$12,000
|
New Equipment
|
$1,20,000
|
|
|
Purchase of plants
|
$42,000
|
$45,000
|
$61,000
|
Total payments
|
$2,40,500
|
$1,24,200
|
$1,43,000
|
Closing cash balance
|
-$74,000
|
$61,800
|
$1,18,800
|
b) If the owners of the business did not buy the equipment, instead opted to lease it under a rental of $10000, the cash budget would change.
Cash Budget for the rental alternative
|
July
|
August
|
September
|
Opening balance
|
$26,500
|
$36,000
|
$1,61,800
|
Add: Cash Receipts
|
|
|
Fees
|
$1,40,000
|
$1,60,000
|
$2,00,000
|
Proceeds from sale of surplus non-current assets
|
$1,00,000
|
|
Total cash available
|
$1,66,500
|
$2,96,000
|
$3,61,800
|
Less: Cash payments
|
|
|
Salaries and wages
|
$70,000
|
$70,000
|
$70,000
|
Supplies
|
$8,500
|
$9,200
|
$12,000
|
Monthly rental of equipment
|
$10,000
|
$10,000
|
$10,000
|
Purchase of plants
|
$42,000
|
$45,000
|
$61,000
|
Total payments
|
$1,30,500
|
$1,34,200
|
$1,53,000
|
Closing cash balance
|
$36,000
|
$1,61,800
|
$2,08,800
|
From the above cash budget we see that the closing cash balance has changed as a result of change in the alternative of renting the equipment instead of buying. If the company decides to buy the equipment, the cash balance in July would be negative as the payment is being made in July. The cash balance for other two months is positive. However, if the company decides to lease the equipment, the closing cash balance for July will become positive. Hence it is recommended that the company should lease the equipment to have a positive cash balance for all the three months.
It is very important for a business to have a positive cash balance for a business to run its operations smoothly. A negative cash balance may arise the need of loan from a bank which will have its own costs in the form of interest (Ross, Hillier, Westerfield, & Jordan, 2012). Another reason for having a cash balance is with respect to the banks. The banks need to be compensated for the banking services provided by them. Thus, a business must always ensure a positive cash balance to finance its operations.
Question 2
a) Break-even point for each product and the total break even points is calculated below:
Break-even point = fixed costs / contribution margin per unit
Fixed costs = $402,800
Contribution margin
|
1 year old
|
2 year old
|
3 year old
|
Total
|
Selling price
|
$20
|
$28
|
$45
|
$93
|
Variable cost per unit
|
$12
|
$18
|
$27
|
$57
|
Contribution margin per unit
|
$8
|
$10
|
$18
|
$36
|
Break-even point in total units
1 year old tree = 402800 / 36
= 11189 units
The break even points in units per product can be divided on the basis of the selling mix.
|
1 year old
|
2 year old
|
3 year old
|
Total
|
Selling mix
|
125000
|
75000
|
50000
|
$2,50,000
|
Percentage share
|
50%
|
30%
|
20%
|
100%
|
The break even units of 11189 units should be divided on the above mix basis. Hence, the break-even point units for the three products are:
1 year old = 11189*50% = 5594 units
2 year old = 11189*30% = 3357 units
2 year old = 11189*50% = 2238 units
b) The profit (loss) before tax that would be achieved by the Landscaping business is given below:
|
1 year old
|
2 year old
|
3 year old
|
Total
|
Selling mix
|
1,25,000
|
75,000
|
50,000
|
2,50,000
|
Selling price
|
$20
|
$28
|
$45
|
|
Sales revenue
|
$25,00,000
|
$21,00,000
|
$22,50,000
|
$68,50,000
|
Variable cost per unit
|
$12
|
$18
|
$27
|
|
Variable cost
|
$15,00,000
|
$13,50,000
|
$13,50,000
|
$42,00,000
|
Contribution margin
|
$10,00,000
|
$7,50,000
|
$9,00,000
|
$26,50,000
|
Fixed costs
|
|
|
|
$4,02,800
|
Profit before tax
|
|
|
|
$22,47,200
|
c) The new sales mix as per the initiative to increase the sale of old tress would be:
Total sales = 250000 units
|
1 year old
|
2 year old
|
3 year old
|
Total
|
Sales mix
|
40%
|
30%
|
30%
|
100%
|
Selling units
|
100,000
|
75,000
|
75,000
|
250,000
|
The fixed costs would increase by $50,000.
The new profit (loss) before tax after the initiative is given below:
|
1 year old
|
2 year old
|
3 year old
|
Total
|
Selling mix
|
1,00,000
|
75,000
|
75,000
|
2,50,000
|
Selling price
|
$20
|
$28
|
$45
|
|
Sales revenue
|
$20,00,000
|
$21,00,000
|
$33,75,000
|
$74,75,000
|
Variable cost per unit
|
$12
|
$18
|
$27
|
|
Variable cost
|
$12,00,000
|
$13,50,000
|
$20,25,000
|
$45,75,000
|
Contribution margin
|
$8,00,000
|
$7,50,000
|
$13,50,000
|
$29,00,000
|
Fixed costs
|
|
|
|
$4,52,800
|
Profit before tax
|
|
|
|
$24,47,200
|
From the above, we see that the total profit before tax has increased by $200,000 ($2447200 - $2247200). Hence, it is recommended that the company should go ahead with changing sales mix to increase the sale of its 3 years old trees as compared to 1 year old trees.
Question 3
a) When deciding on a purchase of equipment or any other capital investment, it is necessary to do a capital budgeting analysis. The analysis requires an estimation of the future cash inflows, the total outflows, and a discount rate to discount the cash flows to the present. One of the most important tools of capital budgeting is Net Present Value (NPV) which is the difference of the discounted cash inflows and the cash outflows. An investment having a positive NPV is considered feasible and a company should go ahead with the investment only if the NPV is positive, thereafter other capital budgeting techniques like IRR and ARR should be considered (Houston & Brigham, 2016)
b) As an owner of the business, we cannot rely on this information because both ARR and IRR do not take into consideration the time value of money which is very important for an investment analysis because all the cash flows are for a future period. Considering the risk of the investment and the inflation rates, it is important to discount the cash flows to account for the risk. ARR does not consider the time value of money; it also does not consider the cash flows and the terminal value of the investment. IRR gives the decision in a relative form unlike NPV which measures the absolute profitability. IRR is the rate at which NPV of a project is equal to 0.
c) For a project to be acceptable when ARR is the decision criterion, it is important for ARR to be higher than the target rate. This rate is decided by the management. For IRR, the IRR should be more than the discount rate. If both the above rates exceed the entity’s minimum required rate, then the company should go for the equipment which has a higher IRR which is Equipment B. This is because IRR is a better measure than ARR since it considers the time value of money and in investment decision analysis, it is extremely important to consider cash flows and time value of money (Luckett, 1984) Hence IRR proves to be a better method.
References
Houston, J., & Brigham, E. (2016). Fundamentals of Financial Management. Australia: Cengage Learning US.
Luckett, P. (1984). ARR vs. IRR: A REVIEW AND AN ANALYSIS. Journal of Business Finance and Accounting.
Ross, S., Hillier, D., Westerfield, R., & Jordan, B. (2012). Cash Management. McGraw-Hill.