Find the present value of each stream

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Reference no: EM132593787

MBA5903 Strategic Financial Management - University of South Africa

Question 1
You want to buy a house within 3 years, and you are currently saving for the down payment. You plan to save R5 000 at the end of the first year, and you anticipate that your annual savings will increase by 10% annually thereafter. Your expected annual return is 10%.
Required:
How much will you have for a down payment at the end of Year 3?

Question 2
An investment will pay R100 at the end of each of the next 3 years, 8200 at the end of Year 4, R300 at the end of Year 5 and R500 at the end of Year 6.
Required:
2.1. If other investments of equal risk earn 8% annually, what is its present value? (4)
2.2. If other investments of equal risk earn 8% annually, what is its future value? (4)

Question 3
Roban Corporation is considering going public but is unsure of a fair offering price for the company. Before hiring an investment banker to assist in making the public offering, managers at Roban have decided to make their own estimate of the company's ordinary share value. The company's CFO has gathered data for performing the valuation using the free cash flow valuation model.

The company's weighted average cost of capital is 10%. and it has R1 400 000 of debt at the market value and 8500 000 of preferred shares at its assumed market value. The estimated free cash flows over the next five years, 2021 through 2025, are given below. Beyond 2025 to infinity, the company expects its free cash flow to grow by 5% annually.

Year (t)

Free cash flow (FCFt) On rands)

2021

R250 000

2022

290

000

2023

320

000

2024

360

000

2025

400

000

3.1. Estimate the value of Roban Corporation's entire company by using the free cash flow approach. (7)
3.2. Use your finding in part (3.1), along with the data provided above, to find Roban Corporation's ordinary share value. (4)
3.3. If the company plans to issue 300 000 ordinary shares. what is its estimated value per share? (4)

Question 4

Given the mixed streams of cash flows shown in the following table, answer parts (4.1) and (4.2):

 

 

Cash flow stream (in rands)

Year

 

A

B

 

1

R50 000

R10 000

 

2

40 000

20 000

 

3

30 000

30 000

 

4

20 000

40 000

 

5

10 000

50 000

Totals

 

150 000

150 000

4.1. Find the present value of each stream, using a 12% discount rate.
4.2. Compare the calculated present values and discuss them in light of the fact that the undiscounted total cash flows amount to R150 000 in each case.

Question 5
Gina Coulson has just contracted to sell a small parcel of land that she inherited a few years ago. The buyer is willing to pay R24 000 at closing of the transaction or will pay the amounts shown in the following table at the beginning of each of the next five years. Because Gina doesn't really need the money today, she plans to let it accumulate in an account that earns 7% annual interest. Given her desire to buy a house at the end of five years after closing on sale of the lot. she decides to choose the payment alternative - R24 000 lump sum or mixed stream of payments in the following table - that provides the highest future value at the end of five years.

Mixed Stream

Beginning of Year
(t)

Cash flow (CFt)
(in rands)

1

R2 000

2

4 000

3

6 000

4

8 000

5

10 000

5.1. What is the future value of the lump sum at the end of Year 5?
5.2. What is the future value of the mixed stream at the end of Year 5?
5.3. Based on your findings in parts (5.1) and (5.2), which alternative should Gina take?
5.4. If Gina could earn 12% rather than 10% on the funds. would your recommendation in part (5.3) change? Explain.

Question 6
Given the balance sheets and selected data from the income statement of SMG Industries that follow. answer part (6.1) - (6.4).
6.1. Calculate the company's net operating profit after taxes (NOPAT) for the year ended 31 December 2019.
6.2. Calculate the company's operating cash flow (OCF) for the year ended 31 December 2019.
6.3. Calculate the firm's free cash flow (FCF) for the year ended 31 December 2019.
6.4. Interpret, compare and contrast your cash flow estimates in parts (6.2) and (6.3).

SMG Industries statement of financial position
(R in millions)

 

 

 

31-Dec

 

Assets

2019

2018

Cash

R 3 500

R 3 000

Marketable securities

3 800

3 200

Accounts receivable

4 000

3 800

Inventories

4 900

4 800

Total current assets

16 200

14 800

Gross fixed assets

31 SOO

30 100

Less: Accumulated depreciation

14 700

13 100

Net fixed assets

16 800

17 000

Total assets

33 000

31 800

Liabilities and stockholders' equity

 

 

Account payable

R 3 600

R 3 500

Notes payable

4 800

4 200

Accruals

1 200

1 300

Total current liabilities

9 600

9 000

Long-term debt

6 000

6 000

Common stock

11 000

11 000

Retained earnings

6 400

5 800

Total stockholders' equity

17 400

16 800

Total liabilities and stockholders' equity

33 000

31 800

Statement of comprehensive income data

 

 

(2019, R in millions)

 

 

Depreciation

R 1 600

Earnings before interest and taxes (EBIT)

4

500

Taxes

1

300

Net profits after taxes

2

400

Question 7
A bond trader bought each of the following bonds at a yield to maturity of 8%. A few weeks after the purchase of the bonds, interest rates fell to 7%. The par value of the bond is R1 000.

Maturity

Coupon

Price at 8%

Price at 7%

Percentage
change

10-year

10% annual
coupon

 

 

 

10-year

zero

 

 

 

5-ar

zero

 

 

 

30-year

zero

 

 

 

R100 Perpetuity

R100 Perpetuity

 

 

 

Required:
Complete the missing information in the above table.

Question 8
A company's share return has the following distribution:

Demand for the company's products

Probability of this demand occurring

Rate of return if this demand occurs (%)

Weak

0.1

-50

Below average

0.2

-5

Average

0.4

16

Above average

0.2

25

Strong

0.1

60

Required:
Calculate the share's expected return, standard deviation and coefficient of variation.

Reference no: EM132593787

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