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CF D1 Revision

Total questions: 24

Worksheet time: 1hrs 12mins

Name
Class
Date
1.

Assuming a risk free rate of 4% and expected average long-run inflation rate of 3%, what is the present value of a fixed perpetuity that pays $10,000/year, assuming the first payment is due in exactly one year and a discount rate of 8%?

a)

$100,000

b)

$125,000

c)

$333,333

d)

$250,000

2.

How is the internal rate of return (IRR) of a project defined when it is used in capital budgeting decisions?

a)

The total rate of return on an investment project based on the projected net cash flows

b)

The dollar amount by which the project's total cash flows exceed the initial investment in the project

c)

The net present value of an investment project's projected cash flows

d)

The discount rate that equated the present value of the project's projected cash flows to the amount initially invested in the project 

3.

when using Payback Period to assess the attractiveness of different investment projects, aside from projects' cash flow projections, the relative risk is only measured by

a)

discount rate that reflects the projects opportunity cost of capital.

b)

amount of time it takes to receive net cash flows equal to the initial investment

c)

equity risk premium added to the risk-free rate used to discount project cash flows

d)

amount of time it takes to receive cash flow with a present value equal the initial investment.

4.

You own a portfolio of composed (by market value) of 60% stocks and 40% bonds. The expected return on your stocks is 15%. The expected return on your bonds is 5%.

What is the expected return portfolio?

a)

9%

b)

10%

c)

11%

d)

12%

5.

Calculate the internal rate of return (IRR) for a project that requires a one-time immediate investment of $500,000, is expected to generate annual net revenues of $90,000 annually for the nest ten years (assume the cash flow are realized at each year' end), and its materials will be sold for a scrap value of $50,000 at the end of the project's 10-year life.

a)

8.57%

b)

12.41%

c)

13.15%

d)

18%

6.

To evaluate the relative attractiveness of different potential investment projects, which of the following factors are advantages of using Net Present Value (NPV) over internal Rate of Return (IRR)?

i) Ability to effectively incorporate future periods with negative cash flows   

ii) accuracy of cash flow projections

iii) adjusts for the time value of money   

iv) explicit adjustment for riskiness of project

a)

II only

b)

I and IV only

c)

III and IV only

d)

I, II, III, and IV

7.

You can conclude that the long term growth is the same as the rate of discount in a perpetuity whenever:

(hint : PV perp = CF1 / ( k - g) )

a)

Perpetuity has an infinite value

b)

Perpetuity is equal to zero

c)

Perpetuity has a bigger value that the in the frontal years

d)

ROE is higher than the retention ratio

8.

Calculate the net present value of a project that requires a one time immediate investment of $1,000,000, is expected to generate annual net revenues of $150,000 for the next ten years (assume the cash flows are realized at each year's end) and its material will be sold for a scrap value of $100,000 at the end of the project life. Assume the discount rate of 10.30%.

a)

($39,796)

b)

$4,890

c)

($52,832)

d)

$104,372

9.

The Modified Internal Rate of Return (MIRR) for a project is 

a)

The annualized rate of return over the project's life

b)

The annualized rate of return over the project's life if all cash flows are reinvestment at an appropriate cost of capital from receipt until the end of the project's forecasted useful life

c)

The annualized rate of return over the project's life if all cash flows are reinvestment at the risk free rate  from receipt until the end of the project's forecasted useful life

d)

The annualized rate of return over the project's life if all cash flows are reinvestment at a rate of return equal to the project's IRR from receipt until the end of the project's forecasted useful life

10.

Which of the following are weakness of using Payback (payback period) method in capital budgeting

a)

a. Difficult to understand

b)

b. lack of explicit adjustment for project risk

c)

c. Riskier due to the relatively short term focus

d)

B and C

11.

Which of the following are possible methods of adjusting an internal rate of return (IRR) analysis to account for the risk of the project being evaluated

a)

a. IRR analysis can not be adjusted for the risk of a project

b)

b. Project risk can be captured by probability weighted cash flow projections (e.g. Best/worst/most likely) used for computing the IRR

c)

c. Project risk can be captured by establishing a hurdle rates for each investment project that reflects the risk of that project and pursuing only projects for which the IRR exceeds project specific hurdle rate

d)

A & B

12.

A parent is considering sending their child in 15 years to a university that will charge EGP300,000 in total. They have saved EGP50,000 as of today. Can you calculate the necessary annuity at 5% rate of investment to meet this target?

Please round to the nearest whole EGP.

Annuity factors for 15 years, 5% = 21.5786

a)

EGP9,086

b)

EGP8792

c)

EGP10,128

d)

EGP10,195

13.

The opportunity cost of the capital used to invest in a project is

a)

The hurdle rate determined by management that specifies the minimum Internal Rate of Return that must be projected for any investment project for it to be undertaken by the firm

b)

The risk free rate plus a spread for the credit risk

c)

The forgone interest income that could have been earned if the cost of the project were invested in safe interest bearing securities rather than in the fixed capital investment project

d)

The rate of return that could have been earned on investment project of equivalent risk

14.

A parent is considering sending their child in 15 years to a university that will charge EGP 250,000 in total. They have saved EGP 29,000 as of today. Can you calculate the necessary annuity at 5% rate of investment to complete this project?

Round to the nearest whole EGP.

Annuity factor for 15 years, 5% = 21.5786

a)

EGP 8,792

b)

EGP 10,242

c)

EGP 10,195

d)

EGP 11,586

15.

An annuity company needs to fund the payouts on a contract it is selling to a professional athlete. The athlete wants to buy a 20-year period certain annuity that will pay him $1,000,000 annually, with the first payment to be made in exactly 12 years. The annuity company wants to fund the future payments by setting aside equal dollar amount until the first payment is due. Assuming a 6.50% annual return on investment, what is the annual amount the annuity company must set aside to be able to fund the payments over the life of the annuity? (Assume first set aside to fund annuity to be made in one year and last funding contribution to be made at time of first annuity payment.)

a)

$675,546

b)

$745,660

c)

$822,091

d)

$782,943

16.

An analyst is evaluating a potential investment in open-pit gold mining venture. The projected production from the mine is 170,000 ounces of gold per year for 10 years. To reflect the uncertainty over gold price the analyst has decided to use three different scenarios: Best case (20% probability): $1800/oz.   Base case (50% probability): $1350/oz.  Worst case (30% probability): $1000/oz.       Assuming a 3% risk-free rate and a 12% opportunity cost of capital, the present value of revenues from gold sales based on projected open-pit mine production and price scenarios is closest to:

a)

$1.281 billion 

b)

$1.328 billion 

c)

$1.945 billion 

d)

$1.987 billion 

17.

Calculate the internal rate of return (IRR) for a project that requires a one-time immediate investment of $10,000,000, is expected to generate net revenues of $1,375,000 annually for the next twelve years (assume the cash flows are realized at each year’s end), and the asset can be sold for $1,000,000 at the end of the project’s 12-year life.

a)

7.34%

b)

9.38%

c)

11.48%

d)

13.75%

18.

The future value of an annuity is positively related to which of the following? ( compounding )

I-Annual interest rate

II-Compounding frequency

II-Periodic annuity payment

IV-Life of the annuity contract

a)

I and II only

b)

I. II and Ill only

c)

I, III and IV only

d)

I, II, III and IV

19.

A mother and father are saving for their child's wedding in 10 years. Given the high rate of inflation they expect the wedding to cost EGP 100,000. They also want to help their child buy a house by giving them a down payment of EGP 150,000. They have saved EGP 50,000 as of today. Can you calculate the necessary future annual savings at an 8% rate of interest so the parents will be able to make these gifts? Please round to the nearest whole EGP. Annuity Factor for 10 years at 8% = 14.49.

a)

EGP 9,806

b)

 EGP 13,806

c)

EGP 17,257

d)

EGP 24,214

20.

Calculate the net present value of a project that requires one-time immediate investment of USD 1,000,000 is expected to generate annual net revenue of USD 175,000 annually, assume cash flows are realized at year end and its material will be sold for a scrap value of USD 50,000 at the end of the projects 10 years’ life, assume the discount rate is 10%

a)

 -1,353.22

b)

94,576.41

c)

124,373.10

d)

1,094,576.41

21.

Which of the following descriptions is the most accurate characterization of IRR:

a)

The Total rate of return on an investment project based on the projected net cash flows

b)

The discount rate that equates the present value of the project ‘s projected net cash flows to the amount of investment .

c)

The net present value of an investment project’s projected cash flow

d)

The net present value of an investment project’s projected cash flow

22.

A company is considering an investment of EGP 13million in a new line of robots for the mining industry that would produce a free cash flow in the next five years in the following amounts: Year 1: 1.2 Year 2: 0 Year 3: 7.8m Year 4:14m Year 5: 27m Calculate the NPV of the project using an 11.75% rate of discount

a)

18.13m

b)

31.13m

c)

13m

d)

37m

23.

How is sunk cost treated in capital budgeting:

a)

a. Included in the cash outflow

b)

b. Included in the cash inflow.

c)

c. Totally ignored.

d)

A+B

24.

If you are saving for your university in 10 years. Given the high rate of inflation you expect the cost to be EGP 400,000. You also want to save a down payment for your house of EGP 700,000 to be made at the same time, while you have saved EGP 100,000 as of today.

Can you calculate the necessary future annual savings at an 7% rate of interest so you can save to make to pay for these items? Round to the nearest whole EGP.

a)

EGP 65,377

b)

EGP 13,806

c)

EGP 17,257

d)

EGP 24,214