Calculate effective annual interest rate cathy has earned

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Corporate Finance Assignment -

Q1. Since 1 Sept 2010, Cathy's investment policy has been to lodge fixed (term) deposits at her local bank. The bank pays interest on the maturity date of a deposit and the interest rate is expressed as an annual simple interest rate. When a deposit matures, Cathy's policy is to relodge the whole sum (principal and interest) immediately for a further period. She chooses the term of each deposit according to her assessment of the interest rates available at that time. Cathy's decisions to date are as follows:

Date - Decision

1 Sept 2010 - 6-month deposit at 9% per annum

1 March 2011 - 8-month deposit at 9.15% per annum

1 November 2011 - 10-month deposit at 8.75% per annum

Calculate, as at 1 Sept 2014, the effective annual interest rate Cathy has earned since she began this policy. (Assume that all months are of equal length.) Briefly explain each step.

Q2. The Three-Dot Mining Company has constructed a town at Big Bore. The town will be abandoned when mining operations cease after an estimated 5-year period. The following estimates of investment costs, sales and operating expenses relate to a project to supply Big Bore with meat and agricultural produce over the 5-year period by developing nearby land.

1) Investment in land is $8 million, farm buildings $2 000 000 and farm equipment $3 000 000. The land is expected to have a realisable value of $4 000 000 in 5 years' time. The residual value of the buildings after 5 years is expected to be $400 000. The farm equipment has an estimated life of 5 years and a zero residual value.

2) Investment of $2 300 000 in current assets will be recovered at the termination of the venture.

3) Annual cash sales are estimated to be $21million.

4) Annual cash operating costs are estimated to be $18 million.

Is the project profitable, given that the required rate of return is 10 per cent per annum?

Q3. Using the following data, calculate the:

1) Accounting rate of return

2) Payback period

3) Internal rate of return

4) Net present value

Project cost:

$150 000

Estimated life:

4 years

Estimated residual value:

$30 000

Annual net cash flow:

$40 000

Required rate of return:

9%

How would your answers differ if the net cash flows were as follows?

Year 1

$50,000

Year 2

$30,000

Year 3

$60,000

Year 4

$80,000

Q4. The standard deviations of returns on assets A and B are 12 per cent and 6 per cent, respectively. A portfolio is constructed consisting of 30 per cent in Asset A and 70 per cent in Asset B. Calculate the portfolio standard deviation if the correlation of returns between the two assets is:

1. 1

2. 0.5

3. 0

4. -1

Comment on your answers.

Reference no: EM132207767

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