Assignment 6 - for release

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School

University of British Columbia *

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Course

481

Subject

Economics

Date

Jun 11, 2024

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pdf

Pages

4

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Assignment 6 EECE/CPEN 481 Instructor: Jeff Carmichael 1. Problem 1 (0.5 points) 2. Problem 2 (1.5 points) 3. Problem 3 (0.5 points) 4. Problem 4 5. Problem 5 (0.5 points) 6. Problem 6 (2 points) 7. Problem 7
1. Problem 1 Five years ago, when the relevant cost index was 105, a nuclear centrifuge cost $10,000,000. The centrifuge had a capacity of separating 4 litres of ionized solution per second. Today, a centrifuge with a capacity of 6.4 litres per second is needed, but the cost index now is 170. Assume a power- sizing exponent to reflect economies of scale, x, of 0.72, and use the power-sizing model. a. Determine the approximate cost of the larger new reactor, without adjusting for the cost index, meaning the cost in ‘five-years-ago dollars’. Round to the nearest hundred thousand dollars. b. Determine the approximate cost of the new reactor, expressed in today’s dollars. Round to the nearest hundred thousand dollars. 2. Problem 2 The provincial highway department is analyzing the reconstruction of a mountain road to Tofino. The vehicle traffic increases each year; hence the benefits to the motoring public also increase. Based on a traffic count, the benefits are projected as follows: Year End-of-Year Benefit 2028 $10,000 2029 $12,000 2030 $14,000 2031 $16,000 2032 $18,000 2033 $20,000 etc And so on, increasing $2,000 per year The reconstructed pavement will cost $230,000 in real dollars (inflation has already been accounted for), if it is installed in 2027. If it is installed in a future year after that, the cost will be higher: construction costs are expected to rise 7.5% per year. It will have a 15-year useful life. In each potential situation where you are considering beginning the project, the construction will always occur in one year, and the benefits will begin the following year. Assume a 5% discount rate. The reconstruction, if done at all, must be operational no later than 2033 (so, the last possible year of construction is 2032). Based on NPW analysis, should the project be done, and if so, in what year should it be constructed? 3. Problem 3 Sally lent a friend $10,000 at 15% interest, compounded annually. The loan will be repaid in five equal end-of-year payments. Sally expects the inflation rate to be 10%. After taking inflation into account, what rate of return is Sally receiving on the loan, rounded to the nearest tenth of a percent?
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