company has a 11% WACC and is considering two mutually exclusive investments (that cannot be repeated) with the following cash flows:   0 1 2 3 4 5 6 7                                     Project A -$300 -$387 -$193 -$100 $600 $600 $850 -$180 Project B -$405 $134 $134 $134 $134 $134 $134 $0 The data has been collected in the Microsoft Excel Online file below. Open the spreadsheet and perform the required analysis to answer the questions below.

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
Problem 1PS
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Question

A company has a 11% WACC and is considering two mutually exclusive investments (that cannot be repeated) with the following cash flows:

  0 1 2 3 4 5 6 7
                 
                 
Project A -$300 -$387 -$193 -$100 $600 $600 $850 -$180
Project B -$405 $134 $134 $134 $134 $134 $134 $0

The data has been collected in the Microsoft Excel Online file below. Open the spreadsheet and perform the required analysis to answer the questions below.

 

 
Open spreadsheet

 

    1. What is each project's NPV? Round your answer to the nearest cent. Do not round your intermediate calculations.

      Project A: $  fill in the blank 2

      Project B: $  fill in the blank 3

    2. What is each project's IRR? Round your answer to two decimal places.

      Project A: fill in the blank 4%

      Project B: fill in the blank 5%

    3. What is each project's MIRR? (Hint: Consider Period 7 as the end of Project B's life.) Round your answer to two decimal places. Do not round your intermediate calculations.

      Project A: fill in the blank 6%

      Project B: fill in the blank 7%

    4. From your answers to parts a-c, which project would be selected?

       

      If the WACC was 18%, which project would be selected?

       

 

  1. Construct NPV profiles for Projects A and B. Round your answers to the nearest cent. Do not round your intermediate calculations. Negative value should be indicated by a minus sign.

     

    Discount Rate NPV Project A NPV Project B
    0% $  fill in the blank 10 $  fill in the blank 11
    5 $  fill in the blank 12 $  fill in the blank 13
    10 $  fill in the blank 14 $  fill in the blank 15
    12 $  fill in the blank 16 $  fill in the blank 17
    15 $  fill in the blank 18 $  fill in the blank 19
    18.1 $  fill in the blank 20 $  fill in the blank 21
    23.97 $  fill in the blank 22 $  fill in the blank 23

     

  2. Calculate the crossover rate where the two projects' NPVs are equal. Round your answer to two decimal places. Do not round your intermediate calculations.

    fill in the blank 24%

  3. What is each project's MIRR at a WACC of 18%? Round your answer to two decimal places. Do not round your intermediate calculations.

    Project A: fill in the blank 25%

    Project B: fill in the blank 26%

 

1
2
3
4
5
6 Project A
7
8 Project B
9
10
11 Project NPV Calculations:
12 NPVA
13
Capital budgeting criteria
14 NPVB
15
16 Project IRR Calculations:
17 IRRA
18
19 IRR
26
27
WACC
20
21 Project MIRR Calculations:
22 MIRRA
23
24 Alternatively, MIRRA can be calculated as:
25
Project A
28
PV of Year 1 Outflow
29
PV of Year 2 Outflow
30 PV of Year 3 Outflow
31
PV of Year 7 Outflow
32
33
34
35
36 Sum of Outflow PVs
37
38 N
39 PV
40 PMT
41 FV
42 I/YR MIRRA
43
48
49
50
51
52
53
54
55
44 MIRR
45
46 Alternatively, MIRRs can be calculated as:
47
Project B
11.00%
Formulas
#N/A
#N/A
#N/A
#N/A
#N/A
7
$0.00
0
$0.00
0
-$300
-$405
#N/A
#N/A
#N/A
#N/A
#N/A
0
-$300
#N/A
0
-$405
1
-$387
$134
Formulas
1
-$387
Formulas
#N/A
1
$134
2
-$193
$134
2
-$193
2
$134
3
-$100
$134
3
-$100
3
$134
4
$600
$134
4
$600
4
$134
5
$600
$134
5
$600
5
$134
6
$850
$134
6
$850
6
$134
7
-$180
$0
7
-$180
7
$0
▼
✓
✓
▼
Formulas
#N/A
#N/A
#N/A
#N/A
Formulas
#N/A
#N/A
#N/A
#N/A
#N/A
#N/A
FV of Year 6 Inflow at Year 7
FV of Year 5 Inflow at Year 7
FV of Year 4 Inflow at Year 7
Sum of Inflow FVs
FV of Year 6 Inflow at Year 7
FV of Year 5 Inflow at Year 7
FV of Year 4 Inflow at Year 7
FV of Year 3 Inflow at Year 7
FV of Year 2 Inflow at Year 7
FV of Year 1 Inflow at Year 7
Transcribed Image Text:1 2 3 4 5 6 Project A 7 8 Project B 9 10 11 Project NPV Calculations: 12 NPVA 13 Capital budgeting criteria 14 NPVB 15 16 Project IRR Calculations: 17 IRRA 18 19 IRR 26 27 WACC 20 21 Project MIRR Calculations: 22 MIRRA 23 24 Alternatively, MIRRA can be calculated as: 25 Project A 28 PV of Year 1 Outflow 29 PV of Year 2 Outflow 30 PV of Year 3 Outflow 31 PV of Year 7 Outflow 32 33 34 35 36 Sum of Outflow PVs 37 38 N 39 PV 40 PMT 41 FV 42 I/YR MIRRA 43 48 49 50 51 52 53 54 55 44 MIRR 45 46 Alternatively, MIRRs can be calculated as: 47 Project B 11.00% Formulas #N/A #N/A #N/A #N/A #N/A 7 $0.00 0 $0.00 0 -$300 -$405 #N/A #N/A #N/A #N/A #N/A 0 -$300 #N/A 0 -$405 1 -$387 $134 Formulas 1 -$387 Formulas #N/A 1 $134 2 -$193 $134 2 -$193 2 $134 3 -$100 $134 3 -$100 3 $134 4 $600 $134 4 $600 4 $134 5 $600 $134 5 $600 5 $134 6 $850 $134 6 $850 6 $134 7 -$180 $0 7 -$180 7 $0 ▼ ✓ ✓ ▼ Formulas #N/A #N/A #N/A #N/A Formulas #N/A #N/A #N/A #N/A #N/A #N/A FV of Year 6 Inflow at Year 7 FV of Year 5 Inflow at Year 7 FV of Year 4 Inflow at Year 7 Sum of Inflow FVs FV of Year 6 Inflow at Year 7 FV of Year 5 Inflow at Year 7 FV of Year 4 Inflow at Year 7 FV of Year 3 Inflow at Year 7 FV of Year 2 Inflow at Year 7 FV of Year 1 Inflow at Year 7
58 Sum of Outflow PVs
59
50 N
51 PV
52 PMT
53 FV
54 I/YR MIRR
55
56 Project Acceptance:
57 WACC
58 Accept
59
70 WACC
71 NPVA
72 NPVB
73 Accept
74
75
NPV Profiles:
76 Discount Rates
77
78
79
30
31
32
33
34
35
36
37
38
$1.20
39
30 $1.00
91
92 $0.80
93
94
95
96
97
98
99
$0.60
$0.40
$0.20
00
01
02
03
04 Calculation of Crossover Rate:
05
$0.00
0%
06 Project A
07
08 Project B
5.00%
17
18 MIRRA
19 MIRR
20
21
0%
5.00%
10.00%
12.00%
15.00%
18.10%
23.97%
09
10 Project Delta
11
12
13 Crossover Rate = IRR
14
15 Project MIRR Calculations at WACC = 18%
16 WACC
#N/A
NPVA
10.00%
7
$0.00
0
$0.00
11.00%
18.00%
$2.66
$63.68
$2.66
18.00%
#N/A
#N/A
#N/A
Formulas
NPVB
$63.68
NPV Profiles
0
-$300
-$405
#N/A
#N/A
#N/A
#N/A
12.00%
1
-$387
$134
#N/A
2
-$193
$134
#N/A
Discount Rates
15.00%
3
-$100
$134
#N/A
0%
5.00%
10.00%
12.00%
15.00%
18.10%
23.97%
18.10%
4
$600
$134
#N/A
NPVA
#N/A
#N/A
#N/A
#N/A
#N/A
#N/A
#N/A
$2.66
23.97%
5
$600
$134
#N/A
NPVB
#N/A
#N/A
#N/A
#N/A
#N/A
#N/A
#N/A
$63.68
6
$850
$134
7
-$180
$0
#N/A #N/A
#N/A
Sum of Inflow FVs
Transcribed Image Text:58 Sum of Outflow PVs 59 50 N 51 PV 52 PMT 53 FV 54 I/YR MIRR 55 56 Project Acceptance: 57 WACC 58 Accept 59 70 WACC 71 NPVA 72 NPVB 73 Accept 74 75 NPV Profiles: 76 Discount Rates 77 78 79 30 31 32 33 34 35 36 37 38 $1.20 39 30 $1.00 91 92 $0.80 93 94 95 96 97 98 99 $0.60 $0.40 $0.20 00 01 02 03 04 Calculation of Crossover Rate: 05 $0.00 0% 06 Project A 07 08 Project B 5.00% 17 18 MIRRA 19 MIRR 20 21 0% 5.00% 10.00% 12.00% 15.00% 18.10% 23.97% 09 10 Project Delta 11 12 13 Crossover Rate = IRR 14 15 Project MIRR Calculations at WACC = 18% 16 WACC #N/A NPVA 10.00% 7 $0.00 0 $0.00 11.00% 18.00% $2.66 $63.68 $2.66 18.00% #N/A #N/A #N/A Formulas NPVB $63.68 NPV Profiles 0 -$300 -$405 #N/A #N/A #N/A #N/A 12.00% 1 -$387 $134 #N/A 2 -$193 $134 #N/A Discount Rates 15.00% 3 -$100 $134 #N/A 0% 5.00% 10.00% 12.00% 15.00% 18.10% 23.97% 18.10% 4 $600 $134 #N/A NPVA #N/A #N/A #N/A #N/A #N/A #N/A #N/A $2.66 23.97% 5 $600 $134 #N/A NPVB #N/A #N/A #N/A #N/A #N/A #N/A #N/A $63.68 6 $850 $134 7 -$180 $0 #N/A #N/A #N/A Sum of Inflow FVs
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