Cost planning assignment 6

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Centennial College *

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124165E

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Finance

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Apr 3, 2024

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docx

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13

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Q 4: If a project costs $100,000 and is expected to return $25,000 annually, how long does it take to recover the initial investment? What would be the discounted payback period at i=15%? A: Conventional payback period: $100000/$25000 = 4 years Discounted payback = 6 + [(10667.99203/25000) – 1] =6.57 years Q 5: Refer to Problem 5.4 , and answer the following questions: a. How long does it take to recover the investment? b. If the firm’s interest rate is 15% after taxes, what would be the discounted payback period for this project? Conventional payback period = 100000/25000 = 4 years Discounted payback = 6 + [(10667.99203/25000 – 1] = 6.57 years Q 7: Consider the investment projects in Table P5.7 , all of which have a four-year investment life.
CSM724-701 Assignment 3 a. What is the payback period of each project? b. What is the discounted payback period at an interest rate of 15% for each project? A: a. Payback period is when Net Cash flow becomes positive, Payback period of A = 3+(4-3)(2500/6200) = 3.4 years Payback period of B = 1 + (1900/2800) = 1.68 years Payback period at C = 3 + (1000/4500) = 3.22 years Payback period at D = 2 + (1400/2300) = 2.61 years Page 1 of 13
CSM724-701 Assignment 3 b. Discounted Payback period of A = 3 + (2500/3545.16) = 3.7 years Discounted Payback period of B = 1+ (2108.69/2117.08) = 1.99 years Discounted Payback period of C = 3 + (2087.02/2573.1) = 3.81 years Discounted payback period of D = 3 +(466.79/1372.32) = 3.34 years Page 2 of 13
CSM724-701 Assignment 3 Q 10: Your firm is considering purchasing an old office building with an estimated remaining service life of 25 years. Recently, the tenants signed a long-term lease, which leads you to believe that the current rental income of $250,000 per year will remain constant for the first five years. Then the rental income will increase by 10% for every five-year interval over the remaining life of the asset. That is, the annual rental income would be $275,000 for years 6 through 10, $302,500 for years 11 through 15, $332,750 for years 16 through 20, and $366,025 for years 21 through 25. You estimate that operating expenses, including income taxes, will be $85,000 for the first year and that they will increase by $5,000 each year thereafter. You also estimate that razing the building and selling the lot on which it stands will realize a net amount of $50,000 at the end of the 25-year period. If you had the opportunity to invest your money elsewhere and thereby earn interest at the rate of 12% per annum, what would be the maximum amount you would be willing to pay for the building and lot at the present time? A: Given: Estimated remaining service life = 25 years, current rental income = $250000 per year, O&M costs = $85000 for the first year increasing by $5000 thereafter, salvage value = $50000 and MARR = 12%. Let A 0 be the maximum investment required to break even. PW (12%) = -A 0 + [$250000(F/A,12%,25) + 25000(F/A,12%,20) + 27500(F/A,12%,15) + 30250(F/A,12%,10) + 33275(F/A,12%,5) + 50000(P/F,12%,25) – 85000(P/A,12%,25) – 5000(P/G,12%,25) = 0 Solving for A 0 = yields A 0 = $1,241,461 Q 11: Consider the following set of investment projects, all of which have a three-year investment life: Page 3 of 13
CSM724-701 Assignment 3 a. Compute the net present worth of each project at i=10%. b. Plot the present worth as a function of the interest rate (from 0% to 30%) for Project B . a. PW (10%) A = -1200 + 3000(P/F,10%,3) = -1200 + 3000(.7513) = -1200 + 2253.9 = 1053.9 PW (10%) B = -1800 + 600(P/F,10%,1) + 900(P/F,10%,2) + 1700(P/F,10%,3) =-1800 + 600(.9091) + 900(.8264) + 1700(.7513) = -1800 + 545.46 + 743.76 + 1277.21 = 766.43 PW (10%) C = -1000 -1200(P/F,10%,1) + 900(P/F,10%,2) + 3500(P/F,10%,3) = -1000 – 1200(.9091) + 900(.8264) + 3500(.7513) = -1000 – 1090.92 + 743.76 + 2629.55 = 1282.39 PW (10%) D = -6500 + 2500(P/F,10%,1) + 1900(P/F,10%,2) + 2800(P/F,10%,3) = -6500 + 2500(.9091) + 1900(.8264) + 2800(.7513) = -6500 + 2272.75 + 1570.16 + 2103.64 = -553.45 Q.13 You are considering the purchase of a parking deck close to your office building. The parking deck is a 15-year-old structure with an estimated remaining service life of 25 years. The tenants have recently signed long-term leases, which leads you to believe that the current rental income of $250,000 per year will remain constant for the first five years. Then the rental income will increase by 10% for every five-year interval over the remaining asset life. Thus, the annual rental income would be $275,000 for years 6 through 10, $302,500 for years 11 through 15, $332,750 for years 16 through 20, and $366,025 for years 21 through 25. You Page 4 of 13
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