MAC3702 Assignment 2
Question 1(a)
Expected Operating Profit (Existing Business)
Expected OP = (1 600 000 × 0.20) + (1 700 000 × 0.30) + (1 800 000 × 0.40) + (2 000 000 ×
0.10)
= 320 000 + 510 000 + 720 000 + 200 000
= R1 750 000
Expected Operating Profit from Nova X9
Expected quantity = 9000(0.30) + 12 500(0.40) + 15 000(0.20) + 18 500(0.10)
= 2 700 + 5 000 + 3 000 + 1 850
= 12 550 pairs
Total variable cost = 480 + 220 + 55 = R755
Contribution per pair = 880 − 755 = R125
Expected total contribution = 12 550 × 125 = R1 568 750
Annual fixed production cost for Nova X9 = R450 000
Operating profit from Nova X9 = 1 568 750 − 450 000 = R1 118 750
, Total expected operating profit = Existing OP + Nova X9 OP
= 1 750 000 + 1 118 750
= R2 868 750
Question 1 (b)
Debt needed = 900 000 × 50% = R450 000
Equity needed = 900 000 × 50% = R450 000
The maximum debt UKS can raise from loans: R250 000 + R80 000 = R330 000
But required debt = R450 000 → insufficient.
R450 000 - R330 000 = R120 000
( R120 000 must be financed using equity)
Total equity required: R450 000 + R120 000 = R570 000
Average growth:
G=( 9+10.6+6.4+10) / 4
=9%
Cost of equity using Gordon model:
Ke=1.10(1.09) / 13.58 + 0.09
=1..58 + 0.09
=8.83 + 9
Ke=17.83%
Question 1(a)
Expected Operating Profit (Existing Business)
Expected OP = (1 600 000 × 0.20) + (1 700 000 × 0.30) + (1 800 000 × 0.40) + (2 000 000 ×
0.10)
= 320 000 + 510 000 + 720 000 + 200 000
= R1 750 000
Expected Operating Profit from Nova X9
Expected quantity = 9000(0.30) + 12 500(0.40) + 15 000(0.20) + 18 500(0.10)
= 2 700 + 5 000 + 3 000 + 1 850
= 12 550 pairs
Total variable cost = 480 + 220 + 55 = R755
Contribution per pair = 880 − 755 = R125
Expected total contribution = 12 550 × 125 = R1 568 750
Annual fixed production cost for Nova X9 = R450 000
Operating profit from Nova X9 = 1 568 750 − 450 000 = R1 118 750
, Total expected operating profit = Existing OP + Nova X9 OP
= 1 750 000 + 1 118 750
= R2 868 750
Question 1 (b)
Debt needed = 900 000 × 50% = R450 000
Equity needed = 900 000 × 50% = R450 000
The maximum debt UKS can raise from loans: R250 000 + R80 000 = R330 000
But required debt = R450 000 → insufficient.
R450 000 - R330 000 = R120 000
( R120 000 must be financed using equity)
Total equity required: R450 000 + R120 000 = R570 000
Average growth:
G=( 9+10.6+6.4+10) / 4
=9%
Cost of equity using Gordon model:
Ke=1.10(1.09) / 13.58 + 0.09
=1..58 + 0.09
=8.83 + 9
Ke=17.83%