Question 1 (3 marks)


Readings: Ch 3


 


Kristy has to make rental payments of ,000 at the start of every month, throughout the four-year duration of her university course. Her university fees are ,000 to be paid at the start of each year. She earns ,500 per month (paid at the end of each month) from a part-time job. Assume an interest rate of 8% p.a. and that she keeps the part-time job for the next four years. How much money, in present value terms, can she withdraw each month for the next four years?


 


Question 2 (3 marks)


Readings: Ch 3


 


Matthew earns ,000 per month for the next 25 years, after which he retires. During the first five years of retirement, he withdraws ,000 at the start of each month, after which he dies. His son, Sean, inherits the remainder of Matthew’s savings. It is further stipulated in Matthew’s will that Sean will be paid the money in equal payments at the start of every month, for the next 20 years. Given a fixed interest rate of 9% p.a., calculate the amount of monthly payments that Sean receives.


 


Question 3 (3 marks)


Readings: Ch 4


 


Assume that ABC Ltd has a current growth rate of 10% p.a. that is expected to be maintained for only another three years and then fall to 5% p.a., where it is expected to remain indefinitely. Given that the required return on ABC’s shares is 12% and that the last dividend of 50c has just been paid, estimate the price of ABC’s shares.


 


Question 4 (3 marks)


Readings: Ch 4


 


A corporate bond with a face value of 00 matures in three years with a coupon rate of 8 percent, paid annually. The bond is currently selling at a price of 3.10.


(a) Is the yield to maturity for the bond implied by the prevailing market price:


 


A:greater than 8% 


B:equal to 8%


C:less than 8%


 


Explain your answer.


 


(b) Suppose you hold the bond until maturity and can predict with certainty that market interest rates in the next three years will be as follows:


          R1 = 8% in year 1,


          R2 = 10% in year 2 and


          R3 = 12 % in year 3. 


If you can reinvest coupons at these rates, what would be your realized annual rate of return on the bond?          


 


Questions 5 to 6 are based on the following case study.


 


Case Study: The Australian Coal Exploration Company


 


Readings: Chapters 5, 6 and 7 and pp.461-466


 


On March 1, 2001, the Australian Coal Exploration Company was investigating the feasibility of two mutually exclusive investment projects. The first prospective investment involved a strip (open-cut) mining operation in western New South Wales. The second investment also involved the extraction of coal, but this expenditure would be an underground site in south-eastern Victoria. Preliminary drilling, sampling and analysis of both sites and consultation with geologists, costing the company 0,000, suggested that both sites have similar coal reserves and useful lives.


 


The coal extraction process for the two types of mines and the equipment required for operation of the mines are very different, however, with the underground mining operation expected to be more complex and difficult. The process of drilling underground also increases the dangers faced by employees, although it is more environmentally friendly than the pollution and soil erosion caused by open-cut mining operations.


 


For the past several months, John McPhee has been involved in the development of revenue and expense projections for the two projects. In his analysis, sufficient data existed from prior investments to provide relatively accurate cost data. After having drawn upon this information, McPhee made the following projections as to investment costs for each operation:


 


 


 


Strip Mining


Underground Mining


Equipment


         ,000,000


          ,750,000


Additional working capital requirements


              200,000


               200,000


Total


         ,200,000


          ,950,000


 


 


With respect to these figures, experience suggests that a 10-year life may be expected on either of the two prospective investments, with the practice being to depreciate the equipment on a prime-cost (straight-line) basis over the life of the projects. Both sites have no alternative productive use for the company, although the land in New South Wales and Victoria could be sold now for 0,000 and 0,000 respectively as grazing land for farming. The projected salvage value for the strip mining operation would be 0,000 at project end, while the equipment for the underground plant could be expected to have a residual value of 0,000. The working capital requirement would arise at the time of the investment, but could be released upon the termination of the project with only a negligible chance of the full amount not being recovered.


 


In addition to the cost estimates, the engineers, based upon studies of the subsurface formations, were able to make projections as to the revenues that could be generated from the two fields. As a result of their studies, expected earnings after taxes for the two investments would be as follows:


 


 


 


Years


Annual expected earnings after taxes


Strip mining

1–4


0,000


5–7


0,000


8–10


0,000


Underground mining

1–4


0,000


5–7


0,000


8–10


0,000


 


 


Upon receiving this information, McPhee questioned the reliability of the anticipated earnings. In response, Tony Hughes, head of the engineering staff at the Australian Coal Exploration Company, informed him that both projects would have to be considered to be more risky than the firm’s typical investment. The analysis indicated that the expected cash flows from the underground mining operation were subject to considerably more uncertainty than those from the strip mining project. In fact, Hughes considered the extraction of coal through the underground facility to be twice as risky as that of the strip-mining alternative. For this reason, he recommended that the strip-mining project be discounted at a 8 per cent rate, while the underground mining proposal be analysed with a 16 per cent criterion. McPhee questioned Hughes’ logic, in that the company’s cost of capital had been computed to be 7 per cent. He believed that this figure better reflected the shareholders’ required rate of return and for that reason should be used as the discount rate for both projects.


 


In support of his position concerning the riskiness of the two proposed investments, Hughes developed some in-depth worksheets for McPhee that suggested other possible returns depending upon the amount of coal actually extracted from the mines. These calculations of the standard deviations from the expected value of earnings are as follows:


 


 


 


Years

Standard deviation of earnings after taxes


Strip Mining

1–4


0,000


5–7


2,000


8–10


0,000


Underground Mining


1–4


4,000


5–7


6,000


8–10


4,000


In addition to the standard deviation of these reported earnings, engineering personnel estimated the standard deviation relating to the salvage value to be 0,000 for the strip mining facility and 5,000 for the underground mining equipment.


In reviewing the engineering department’s work, John McPhee was quite pleased with the results. However, a question remained in his mind as to the soundness of employing the various discount rates, as suggested by Hughes. As an alternative to adjusting the discount rate for projects with dissimilar risks, he had been conducting informal discussions with top management trying to establish the relationship between the level of risk and the willingness of management to accept such uncertainty, as reflected by ‘certainty-equivalent factors’. The results of these meetings are depicted in Exhibit 1 below.


 


 


Exhibit 1: Management’s risk-return profile Coefficient of variation Certainty-equivalent factor

0.50


0.97


0.60


0.95


0.70


0.93


0.80


0.90


0.90


0.87


1.00


0.84


1.10


0.80


1.20


0.76


1.30


0.72


1.40


0.66


1.50


0.60


1.60


0.54


1.70


0.45


1.80


0.35


1.90


0.17


 


 


He felt that a better approach would be to adjust the cash flows by the appropriate certainty-equivalent factor and to discount these adjusted cash flows at the firm’s cost of capital. However, Hughes is of the opinion that the risk-free rate, which is currently 5.5 per cent, would be more appropriate for such analysis.


 


At this point, the investigation has been temporarily halted until these outstanding questions have been resolved.


 


 


 


 


Questions:


 



  • (2 marks) Consider the arguments of John McPhee and Tony Hughes regarding how the risk of these two projects should be measured and incorporated into the investment evaluation process. Are both of them technically correct in the methods they suggest to account for project risk, and which method of risk-adjustment do you think should be applied in evaluating the feasibility of these two projects?



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  • (4 marks) Calculate the net present value for each investment employing (i) the certainty-equivalent approach and (ii) the risk-adjusted rate of return method. Assume that the company faces a marginal corporate tax rate of 30 per cent on earnings and other cash flows. Using these calculations, provide a recommendation to the company as to which project the firm should accept. If an inconsistency between the results of the various capital budgeting techniques does exist, explain the reason(s) why. [You may use Excel for calculations]



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  • (2 marks) Outline any other factors that you think the Australian Coal Exploration Company should consider prior to making its final decision on these projects, and whether, in your opinion, any of these factors warrant acceptance of one project over another, independent of financial concerns.



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