Net profits and dividend payouts
- a)
Dividend to be received in May 2018 (in $)
= Net profit for 2018 x share % x dividend pay-out ratio
= 600000 x 15% x 75%
= 67,500
Dividend to be received in May 2019 (in $)
= Net profit for 2018 x (1 + growth rate) x share % x dividend pay-out ratio
= 600000 x (1 + 30%) x 15% x 75%
= 87,750
Amount required in late May 2019 (in $) = 100,000
Dividend to be received in May 2019 (in $) = 87,750
Remaining (in $) = 100000 – 87750
= 12,250
Value of 12,250 in May 2018 (in $)
= Present value of 12,250 for one year at interest rate of 10%
= 12250 / (1 + 10%)
= 11,136
She can consume in May 2018 (in $) = 67500 – 11136
= 56,364
- b)
Discount rate = 6%
Cost of System P (in $) = 200,000
Useful life (in years) = 3
Operating cost per annum (in $) = 10,000
Present value annuity factor for 3 years at 6% = 2.6730
Annual Equivalent cost (in $)
= (Cost of system / PVAF) + operating cost
= (200000 / 2.6730) + 10000
= 84,822
Discount rate = 6%
Cost of System Q (in $) = 240,000
Useful life (in years) = 4
Operating cost per annum (in $) = 12,000
Present value annuity factor for 4 years at 6% = 3.4651
Annual Equivalent cost (in $)
= (Cost of system / PVAF) + operating cost
= (240000 / 3.4651) + 12000
= 81,262
Since AEC of system Q is less than that of system P. System Q should be selected.
- c)
Face value of Notes (in $) = 1,000.00
Coupon rate per annum = 14%
Interest amount (in $) = Face value x coupon rate
= 1000 x 14%
= 140.00
Required rate of return = 18%
As per details given in the question, payment will be done as given below.
Particulars |
Amount ($) |
Payment year no. |
Interest of May-19 paid in May-23 |
140.00 |
5 |
Interest of May-20 paid in May-23 |
140.00 |
5 |
Interest of May-21 paid in May-21 |
140.00 |
3 |
Interest of May-22 paid in May-22 |
140.00 |
4 |
Interest of May-23 paid in May-23 |
140.00 |
5 |
Repayment |
1,000.00 |
5 |
Year |
Amount |
PVF |
PV |
3 |
140.00 |
0.6086 |
85.21 |
4 |
140.00 |
0.5158 |
72.21 |
5 |
1,420.00 |
0.4371 |
620.70 |
778.11 |
Current value of each unsecured note (in $) = 778.11
Answer 4
- a)
Tax rate = 30%
Cost of capital = 10%
Working capital requirement (in $) = 30,000
New Trucks
Cost of each truck (in $) = 500,000
Total cost of truck (in $) = Cost of each truck x 2
= 500000 x 2
= 1,000,000
Useful life of new trucks (in years) = 4
Total depreciation on new trucks (in $) = 1000000 / 4
= 250,000.00
Total salvage value new trucks (in $) = 150000 x 2
= 300,000
Savings in storage costs (in $) = 50,000
Savings in labour costs (in $) = 200,000
Tax deductible expenses in year 2 (in $) = 40,000
Tax deductible expenses in year 3 (in $) = 50,000
Old Trucks
Carrying value of old trucks (in $) = Cost of truck x 3 x (1 – 20%)
= 250000 x 3 x (1 – 20%)
= 600,000
Sale price of old trucks (in $) = 100000 x 3
= 300,000
Initial cash outflow (in $) = Working capital + cost of new trucks
= 30000 + 1000000
= 1,030,000
Loss on sale of old trucks (in $)
= Carrying value of old trucks – Sale price of old trucks
= 600000 – 300000
= 300,000
Tax savings on loss (in $) = 300000 x 30%
= 90,000
Net cash outflow on sale of old trucks (in $)
= Loss on sale of old trucks – tax savings
= 300000 – 90000
= 210,000
Profit on sale of old trucks (in $)
= Sale price of old trucks – Carrying value of old trucks
= 300000 – 0
= 300000
Tax on profit (in $) = 300000 x 30%
= 90,000
Net cash inflow on sale of new trucks (in $)
= Profit on sale of old trucks – tax on profit
= 300000 – 90000
= 210,000
Total terminal cash inflow
= Working capital – Net cash outflow on sale of old trucks + Net cash inflow on sale of new trucks
= 30000 – 210000 + 210000
= 30,000
Year |
1 |
2 |
3 |
4 |
Savings in storage costs |
50,000 |
50,000 |
50,000 |
50,000 |
Savings in labour costs |
200,000 |
200,000 |
200,000 |
200,000 |
Less: Depreciation |
-250,000 |
-250,000 |
-250,000 |
-250,000 |
Less: Overhauling expenses |
-40,000 |
-50,000 |
||
Profit before tax |
– |
-40,000 |
-50,000 |
– |
Add: Tax savings |
– |
12,000 |
15,000 |
– |
Net profit |
– |
-28,000 |
-35,000 |
– |
Add: Depreciation |
250,000 |
250,000 |
250,000 |
250,000 |
Cash flow from operations |
250,000 |
222,000 |
215,000 |
250,000 |
Year |
Cash flow |
PVF |
PV |
0 |
-1,030,000 |
1.0000 |
– 1,030,000.00 |
1 |
250,000 |
0.9091 |
227,272.73 |
2 |
222,000 |
0.8264 |
183,471.07 |
3 |
215,000 |
0.7513 |
161,532.68 |
4 |
280,000 |
0.6830 |
191,243.77 |
– 266,479.75 |
Net Present Value (in $) = -266,479.75
b)
No. Company should not buy new trucks.
Company should not accept this proposal because NPV is negative. It means there will be loss of $266,479.75 on purchase of new trucks given the existing circumstances.