FIN3701 ASSIGNMENT 1 SEMESTER 1 2025 – STEP BY STEP CALCULATIONS DONE

Description

FIN3701 Assignment 1 Semester 1 | Due 31 March 2025. Step by step calculations done. QUESTION 1 [12 marks]
Mphoreng Industries is considering replacing its existing machine, which was purchased three years ago at a cost of R1 million. The machine is depreciated at 30% per annum and can be sold today at R900 000. The new machine will cost R700 000 with R20 000 installation cost and R5 000 transportation costs. The use of the new machine will decrease the working capital with R8 000. Assume a 40% capital gains tax per annum.
REQUIRED:
1.1
Calculate the book value of the existing machine. Show all calculations. (3 marks)
1.2
Calculate the tax implication from the sale of the existing machine. (3 marks)
1.3
Calculate the after-tax proceeds from the sale of the existing machine. (2 marks)
1.4
Calculate the initial investment associated with the replacement of the existing machine.
(4 marks)
QUESTION 2 [12 marks]
A firm with a cost of capital of 11% is evaluating two mutually exclusive projects, X and Y. The initial investment is R400 000 for project X and R525 000 for project Y. Cash inflows associated with the two projects are given below.
Year
Project X
Cash inflows (R)
Project Y
Cash inflows (R)
1
140 000
175 000
2
165 000
150 000
3
190 000
125 000
4
190 000
100 000
5
80 000
6
50 000
REQUIRED:
Which project should the firm choose, considering risk concepts in capital budgeting?
(12 marks)QUESTION 3 [12 marks]
Marombo currently has a portfolio of ordinary shares representing several different companies. Marombo considers it to be a well-balanced investment portfolio, but he wants to reduce the overall risk of the portfolio a bit more by including ordinary shares from Mamphela Mining Corporation.
The following information on Mamphela Mining Corporation is available:
For the period 2020 to 2023, the company paid the following dividends per year respectively: R3,14; R3,55; R3,89; and R3,95. The 2024 dividend is expected to increase by the average growth rate of the dividends between 2020 and 2023, and the dividend will increase by 10% per year indefinitely from 2022 onwards.
Marombo requires a return of 12% on his investment portfolio and is not prepared to pay more than R52,00 per ordinary share of Mamphela Mining Corporation.
REQUIRED:
4.1
Calculate the current price of Mamphela Mining Corporation’s ordinary share. (10 marks)
4.2
Should Marombo purchase Mamphela Mining Corporation shares to include in his investment portfolio? Provide reasons for your answer. (2 marks)
QUESTION 5 [14 marks]
The power systems company, Raging Volts, is currently 80% equity financed and aims to raise R2 million to fund a set of attractive investment opportunities. Debt financing may be obtained at an after-tax cost of 15%. The company’s management wants to introduce 60% debt in the capital structure while keeping the cost of each financing source together with its market value the same.
Ordinary shares are currently selling for R30 per share. The company paid a dividend (Do) of R1,50 per share in the previous financial year and had a growth rate of 7% over the past few years. It is expected that this growth rate will be maintained in future. The company’s tax rate is 29%. The company has a market value of R300 000.
REQUIRED:
5.1
Calculate the component costs associated with capital investment financing. (2 marks)
5.2
Calculate the weighted average cost of capital (WACC), the break point of equity and the break point of debt under the current structure. (5 marks)
5.3
Calculate the WACC, the break point of equity and the
break point of debt under the proposed structure. (5 marks)
5.4
Calculate the number of shares under the current structure. (1 marks)
5.5
Calculate the number of shares under the proposed structure. (1 marks)
[TOTAL: 50 marks]