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【简答题】

Calculate the figure that should be entered into: (i) Gap 1 (ii) Gap 2 (iii) Gap 3

A capital investment project has an initial investment followed by constant annual returns.How is the payback period calculated?

A

Initial investment / annual profit

B

Initial investment / annual net cash inflow

C

(Initial investment - residual value) / annual profit

D

(Initial investment - residual value) / annual net cash inflow

A machine has an investment cost of $60,000 at time 0. The present values (at time 0) of the expected net cash inflows from the machine over its useful life are:

Discount rate             Present value of cash inflows

10%                                        $64,600

15%                                        $58,200

20%                                       $52,100

What is the internal rate of return (IRR) of the machine investment?

A

Below 10%

B

Between 10% and 15%

C

Between 15% and 20%

D

Over 20%

An investment project has a positive net present value (NPV) of $7,222 when its cash flows are discounted at the cost of capital of 10% per annum. Net cash inflows from the project are expected to be $18,000 per annum for five years. The cumulative discount (annuity) factor for five years at 10% is 3.791.What is the investment at the start of the project?

A

$61,016

B

$68,238

C

$75,460

D

$82,778

Which of the following accurately defines the internal rate of return (IRR)?

A

The average annual profit from an investment expressed as a percentage of the investment sum

B

The discount rate (%) at which the net present value of the cash flows from an investment is zero

C

The net present value of the cash flows from an investment discounted at the required rate ofreturn

D

The rate (%) at which discounted net profits from an investment are zero

An investment project has the following discounted cash flows ($'000):

                      Year                                          Discount rate

                                                      0%                       10%                   20%

                        0                            90                         90                      90 

                        1                            30                         27.3                     25.0

                        2                             30                        24.8                    29.8

                        3                             30                        22.5                    17.4

                        4                             30                       20.5                     14.5

                                                       30                       5.1                      (12.3)

The required rate of return on investment is 10% per annum. What is the discounted payback period of the investment project

A

Less than 3.0 years

B

3.0 years

C

Between 3.0 years and 4.0 years

D

More than 4.0 years

What is the effective annual rate of interest of 2.1% compounded every three months?

A

6.43%

B

8.40%

C

8.67%

D

10.87%

If the interest rate is 8%, what would you pay for a perpetuity of $1,500 starting in the nearest $)

A

$1,620

B

$17,130

C

$18,750

D

$20,370

How much should be invested now (to the nearest $) to receive $24,000 per annum in perpetuity if the annual rate of interest is 5%?

A

$1,200

B

$478,800

C

$480,000

D

$481,200

Which is worth most, at present values, assuming an annual rate of interest of 8%?

A

$1,200 in exactly one year from now

B

$1,400 in exactly two years from now

C

$1,600 in exactly three years from now

D

$1,800 in exactly four years from now