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A private corporation is considering a proposed investment in a
freeway development. Two alternatives are presented for
construction, each offering a return of $2.5m at the end of the
first year, rising (compounding) by 8% pa thereafter. The first
alternative A provides the full freeway completed at the end of
year 1, with a 30 year lifetime. The second alternative B provides
a phased investment. An upgrade at year 15 is involved, with a 30
year lifetime. The basic costs and benefits to the Company from
each alternative are tabulated below:

Question: A private corporation is considering a proposed investment in afreeway development. Two alternat...

(a) Assuming a zero inflation rate, and a discount rate of 8%,
derive:

(i) Cash flow diagram for each case, that shows clearly the
transactions in the investments over a common period of 30
years.

(ii) Net present value (NPV) for each alternative, as seen by
the corporation.

(b) If the discount rate were increased, which of the
alternatives would tend to be favoured by the change in rate? (Do
not bother to calculate new quantitative NPV results.)

Show transcribed image text Asm) BSm) Cost or benefit Time Year 40 25 Construction Year 15 65 Operation and Years 1-15 0.5 0.75 Years 16 on 0.75 1 Maintenance Revenue Year 1 (rising at 8% pa 25 25

Asm) BSm) Cost or benefit Time Year 40 25 Construction Year 15 65 Operation and Years 1-15 0.5 0.75 Years 16 on 0.75 1 Maintenance Revenue Year 1 (rising at 8% pa 25 25