NPV & IRR
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School
University of Michigan *
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Course
550
Subject
Finance
Date
Apr 3, 2024
Type
xlsx
Pages
4
Uploaded by krishivhinduja03
Question 1
Year 1
Year 2
Year 3
PGI
$ 250,000.00 $ 262,500.00 $ 275,625.00 Vacancy $ 12,500.00 $ 13,125.00 $ 13,781.25 EGI
$ 237,500.00 $ 249,375.00 $ 261,843.75 Operating Expenses
$ 106,875.00 $ 110,081.25 $ 113,383.69 NOI
$ 130,625.00 $ 139,293.75 $ 148,460.06 DCF
$ 120,949.07 $ 119,421.94 $ 117,852.38 PV of cash flows
$ 577,812.38 Reversion
$ 2,317,518.84 PV of Exit Value
$ 1,577,264.38 Total PV
$ 2,155,076.76 The new DCF gives a value of 2155076.76
Question 2
NOI year 1
$ 130,625.00 Cap rate
6.50%
Direct cap
$ 2,009,615.38 Question 3
DCF
$ 2,155,076.76 Direct Cap
$ 2,009,615.38 Cost Approach
Cost Per Unit
$155,000.00 # of Units
15
Value
$2,325,000.00 Market Approach
Market Value Per Unit
$140,000.00 # of Units
15
Value
$2,100,000.00 Refined Bid Value
$ 2,126,453.78 Refined Bid Value is $2,126,453.78
Question 4
Sales Price
$2,317,518.84 Less: Selling Expenses
($92,700.75)
Equals Before-tax Equity Reversion
$2,224,818.09 Year 1
Year 2
Year 3
Annual Before Tax Cash Flows
130,625
139,294
148,460
Plus: Before-tax Equity Reversion
Equals Total Cash Flow
130,625
139,294
148,460
NPV 8% Discount Rate
$2,091,986.18 Year 0
Year 1
Year 2
($2,126,453.80)
130,625
139,294
($2,126,453.80)
130,625
139,294
IRR
7.60%
The IRR of this investment is 7.60%
Question 5
Undiscounted Cash Flow
$2,953,612.00 Equity Investment
$ 2,126,453.78 Equity Multiple
1.3889848100898
The equity multiple is 1.39
Year 4
Year 5
Year 6
$ 283,893.75 $ 292,410.56 $ 301,182.88 $ 14,194.69 $ 14,620.53 $ 15,059.14 $ 269,699.06 $ 277,790.03 $ 286,123.74 $ 116,785.20 $ 120,288.75 $ 123,897.42 $ 152,913.86 $ 157,501.28 $ 162,226.32 $ 112,396.26 $ 107,192.72
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Year 4
Year 5
152,914
157,501
$2,224,818.09 152,914
2,382,319
Year 3
Year 4
Year 5
148,460
152,914
2,382,319
148,460
152,914
2,382,319
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0
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Project B
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40
2
120
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Table 1: Half-Year Convention
200% Declining Balance
Year
3 Year
5 Year
7 Year
1
33.33%
20.00%
14.29%
2
44.45%
32.00%
24.49%
3
14.81%
19.20%
17.49%
4
7.41%
11.52%
12.49%
5
11.52%
8.93%
6
5.76%
8.92%
7
8.93%
8
4.46%
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Percent
Compound
FV
$9,817.30
27
Weekly
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O a. $288,108.80
O b. $501,663.75
O c. $439,829.35
O d. $48,490.59
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Exhibit 5
Present Value of $1 at Compound In
Periods
4%
41%
5%
1
0.96154 0.956940
0.95238
2
0.92456 0.915730
0.90703
3
0.88900 0.876300
0.86384
4
0.85480 0.838560
5
0.82270
0.82193 0.802450 0.78353
6
0.79031 0.767900 0.74622
0.72525
10
7890
0.75992 0.734830 0.71068
0.73069 0.703190 0.67684
0.70259 0.672900 0.64461
0.67556 0.643930 0.61391
0.68744
0.66506
0.65160 0.62741
0.61763 0.59190
0.58543 0.55839
5% 6%
61%
7%
10% 11% 12% 13%
0.94787 0.94340 0.93897 0.93458 0.90909 0.90090 0.89286 0.88496
0.89845 0.89000 0.88166 0.87344 0.82645 0.81162 0.79719 0.78315
0.85161 0.83962 0.82785 0.81630 0.75131 0.73119 0.71178 0.69305
0.80722 0.79209 0.77732 0.76290 0.68301 0.65873 0.63552 0.61332
0.76513 0.74726 0.72988 0.71299 0.62092 0.59345 0.56743 0.54276
0.70496 0.68533 0.66634 0.56447 0.53464 0.50663 0.48032
0.64351 0.62275 0.51316 0.48166 0.45235
0.42506
0.60423
0.56735
0.53273
0.58201 0.46651
0.43393
0.40388
0.37616
0.54393 0.42410
0.50835
0.39092
0.36061
0.33288
0.38554 0.35218
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$0.00
1
$110.00
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$121.00
3
$133.10
4
$146.41
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$161.05
6
$177.16
7
$194.87
$214.36
$235.79
$259.37
$285.31
$313.84
$345.23
$379.75
8
9
10
11
12
13
14
15
16
17
18
19
20
$417.72
$459.50
$505.45
$555.99
$611.59
$672.75
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Reference
Present Value of $1
12% 14% 16% 18% 20%
Periods 1%
2% 3% 4%
Period 1 0.990 0.980 0.971 0.962
Period 2
Period 3
Period 4
Period 5
Period 6
Period 7
5% 6% 8% 10%
0.952 0.943 0.926 0.909 0.893 0.877 0.862 0.847 0.833
0.980 0.961 0.943 0.925 0.907 0.890 0.857 0.826 0.797
0.826 0.797 0.769 0.743 0.718 0.694
0.971 0.942 0.915 0.889 0.864 0.840 0.794 0.751 0.712 0.675 0.641 0.609 0.579
0.961 0.924 0.888 0.855 0.823 0.792 0.735 0.683 0.636 0.592 0.552 0.516 0.482
0.951 0.906 0.863 0.822 0.784 0.747 0.681 0.621 0.567 0.519 0.476 0.437 0.402
0.942 0.888 0.837 0.790 0.746 0.705 0.630 0.564 0.507 0.456 0.410 0.370 0.335
0.933 0.871 0.813 0.760 0.711 0.665 0.583 0.513 0.452 0.400 0.354 0.314 0.279
Period 8 0.923 0.853 0.789 0.731 0.677 0.627 0.540 0.467 0.404 0.351 0.305 0.266 0.233
Period 9 0.914 0.837 0.766 0.703 0.645 0.592 0.500
0.703 0.645 0.592 0.500 0.424 0.361 0.308 0.263 0.225 0.194
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FV
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Ending
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Balance
Balance
Assets:
Current assets:
$ 36,300
$ 53,000
29,000
Cash and cash equivalents
Accounts receivable
42, ее
Inventory
102,000
89,000
Prepaid expenses
16,400
12,200
Total current assets
200,400
179,500
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618,000
319,000
278,100
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339,900
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Accounts payable
Accrued liabilities
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$ 31,000
74,000
108,000
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48,000
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139,400
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Present value of $1
Periods
4%
6%
8%
10%
12%
14%
1
0.96154
0.94340
0.92593
0.90909
0.89286
0.87719
2
0.92456
0.89000
0.85734
0.82645
0.79719
0.76947
3
0.88900
0.83962
0.79383
0.75131
0.71178
0.67497
4567899
0.85480
0.79209
0.73503
0.68301
0.63552
0.59208
0.82193
0.74726
0.68058
0.62092
0.56743
0.51937
0.79031
0.70496
0.63017
0.56447
0.50663
0.45559
0.75992
0.66506
0.58349
0.51316
0.45235
0.39964
0.73069
0.62741
0.54027
0.46651
0.40388
0.35056
0.70259
0.59190
0.50025
0.42410
0.36061
0.30751
10
0.67556
0.55839
0.46319
0.38554
0.32197
0.26974
Present value of an annuity of $1
Periods
4%
6%
8%
10%
12%
14%
1
0.96154
0.94340
0.92593
0.90909
0.89286
0.87719
2
1.88609
1.83339
1.78326
1.73554
1.69005
1.64666
3
2.77509
2.67301
2.57710
2.48685
2.40183
2.32163
45678
3.62990
3.46511
3.31213
3.16987
3.03735
2.91371
4.45182
4.21236
3.99271
3.79079
3.60478
3.43308
5.24214
4.91732
4.62288
4.35526
4.11141
3.88867
6.00205
5.58238
5.20637
4.86842
4.56376
4.28830
6.73274
6.20979
5.74664
5.33493
4.96764…
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- Part D pleasearrow_forwardProject A Year -320 0 220 Project B -340 40 2 120 100 m 90 180 1-16% What is the crossover rate? A) 1.83 B) 3.68 ©49.80 D) 1.12 E) 38.59 40 300arrow_forwardTax Rate Single 10% up to $9275 15% $9276 to $37,650 25% $37,651 to $91,150 28% $91,151 to $190,150 33% $190,151 to $413,350 35% $413,351 to $415,050 39.6% more than $415,050 Standard Deduction $6300 Exemptions (per person) $4050 You would like to have $550,000 in 39 years by making regular deposits at the end of each month in an annuity that pays 6% compounded monthly. The table below shows the 2016 marginal tax rates, standard deduction, and exemptions for a single person. Complete parts (a) through (c). a. Determine the deposit at the end of each month. In order to have 550,000 in 39 years, you should deposit ____ each month. (Round up to the nearest dollar.) b. Assume that the annuity in part (a) is a tax-deferred IRA belonging to a man whose gross income in 2005 was $52,000. Use the table on the left to calculate his 2005 taxes first with and then without the IRA. Assume the man…arrow_forward
- Table 1: Half-Year Convention 200% Declining Balance Year 3 Year 5 Year 7 Year 1 33.33% 20.00% 14.29% 2 44.45% 32.00% 24.49% 3 14.81% 19.20% 17.49% 4 7.41% 11.52% 12.49% 5 11.52% 8.93% 6 5.76% 8.92% 7 8.93% 8 4.46% Below are four asset purchases made in Asset Cost Date Office Table $1,000 January 1 Office Desk 1,500 September 29 File Cabinet 2,000 October 15 Computer 6,000 December 31 What is the maximum 2018 Sec. 179 deduction for these purchases? $10,500 $2,500 $8,000 $0arrow_forwardPV Years Percent Compound FV $9,817.30 27 Weekly 14.59% O a. $288,108.80 O b. $501,663.75 O c. $439,829.35 O d. $48,490.59 thousand is:arrow_forwardExhibit 5 Present Value of $1 at Compound In Periods 4% 41% 5% 1 0.96154 0.956940 0.95238 2 0.92456 0.915730 0.90703 3 0.88900 0.876300 0.86384 4 0.85480 0.838560 5 0.82270 0.82193 0.802450 0.78353 6 0.79031 0.767900 0.74622 0.72525 10 7890 0.75992 0.734830 0.71068 0.73069 0.703190 0.67684 0.70259 0.672900 0.64461 0.67556 0.643930 0.61391 0.68744 0.66506 0.65160 0.62741 0.61763 0.59190 0.58543 0.55839 5% 6% 61% 7% 10% 11% 12% 13% 0.94787 0.94340 0.93897 0.93458 0.90909 0.90090 0.89286 0.88496 0.89845 0.89000 0.88166 0.87344 0.82645 0.81162 0.79719 0.78315 0.85161 0.83962 0.82785 0.81630 0.75131 0.73119 0.71178 0.69305 0.80722 0.79209 0.77732 0.76290 0.68301 0.65873 0.63552 0.61332 0.76513 0.74726 0.72988 0.71299 0.62092 0.59345 0.56743 0.54276 0.70496 0.68533 0.66634 0.56447 0.53464 0.50663 0.48032 0.64351 0.62275 0.51316 0.48166 0.45235 0.42506 0.60423 0.56735 0.53273 0.58201 0.46651 0.43393 0.40388 0.37616 0.54393 0.42410 0.50835 0.39092 0.36061 0.33288 0.38554 0.35218 0.32197…arrow_forward
- Year Cash Flow 0 $0.00 1 $110.00 2 $121.00 3 $133.10 4 $146.41 5 $161.05 6 $177.16 7 $194.87 $214.36 $235.79 $259.37 $285.31 $313.84 $345.23 $379.75 8 9 10 11 12 13 14 15 16 17 18 19 20 $417.72 $459.50 $505.45 $555.99 $611.59 $672.75 The cash flow in Year 1 is equivalent to ($100.00)*(1.10), and all other cash flows then grow at an annual rate of 10 percent per year. The correct discount rate is 8 percent. What is the present value of the cash flows in the odd years? That is, what is the sum of the ten present values of the cash flows in Year 1, Year 3, ..., Year 17, and Year 19?arrow_forwardOn March 10, 2020, Pearl Limited sold equipment that it bought for $134,640 on August 21, 2013. It was originally estimated that the equipment would have a useful life of 12 years and a residual value of $12,000 at the end of that time, and depreciation has been calculated on that basis. The company uses the straight-line method of depreciation and prepares its financial statements under IFRS. Your answer is partially correct. Calculate the depreciation charge on this equipment for 2013 and for 2020, and the total charge for the period from 2014 to 2019, inclusive, under each of the following six assumptions for partial periods: (Round answers to O decimal places, e.g. 5,275.) 1. Depreciation is calculated for the exact period of time during which the asset is owned. (Use 365 days for your base.) 2. Depreciation is calculated for the full year on the January 1 balance in the asset account. 3. Depreciation is calculated for the full year on the December 31 balance in the asset account.…arrow_forwardWe operate a factory that exclusively produces steel pipes. The spreadsheet (ATTACHED AS AN IMAGE) contains comprehensive monthly data on the pipes produced in 2021 and 2022. Please copy the data into your own spreadsheet for calculations. Note that the numbers are entirely fictional and do not reflect real-world figures or trends. For each month, the spreadsheet lists all factory costs, which are categorized into three areas for simplicity: • Cost of raw materials (steel) Cost of energy to run the factory Other costs, including personnel, etc. Additionally, the spreadsheet provides the revenue generated by the sales of pipes that were produced in a given month and sold by the end of 2022. Here's some additional information: ⚫During this period, the factory produced two types of pipes: type A and type B, but only one type at a time: Sometime in 2021, the factory switched from type A to type B. Type B is slightly larger and was expected to have a greater market appeal. ⚫Steel is…arrow_forward
- Question Content Area A $36,000, 60-day, 5% note, dated May 1, is received from a customer on account. Assume a 360-day year, the maturity value of the note is a. $36,000 b. $36,300 c. $37,800 d. $300arrow_forwardA company entered into a two-year cloud computing arrangement by paying $74,000 immediately to a vendor and also incurring the following costs: Pre-implementation planning Integration of software Coding and customization of $34,000 69,000 104, 000 software Post-implementation operation 49,000 Determine the amount the company should capitalize at the beginning of the arrangement. Multiple Choice $257,000.arrow_forwardCalculate (a) the amount financed, (b) the total finance charge, and (c) APR by table lookup.(Use Table 14.1.) Note: Do not round intermediate calculations. Round the Finance charge to the nearest cent. Purchase price of a used car 5,773 Down payment $ 1,273 Number of monthly payments 48 Amount financed Total of monthly payments 5,829.76 Total finance charge APRarrow_forward
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