Number of periods = 10 years *12 month per year =120
Interest rate = 8%/12 =0.667%
Monthly payment = = $242,655.19
Monthly payments remaining = 7 years * 12 =84
Monthly payment =$242,655.19
Principle remaining after three years,
PV = $15,568,577.62
Hence the principle amount remaining after 3 years will be $15,568,577.62.
Monthly payment for new loan = = $234,971.55
Difference in monthly payments =$242,655.19-$234,971.55= $7,683.63
Present value of monthly payment’s difference
PV= $509,096.86
Cost of financing will be $250,000 hence net benefit from loan restructuring will be $259,096.86. Therefore it is advised to restructure loan.
Number of periods = 10 years *4month per year =40
Interest rate = 8%/4=2%
Monthly payment = = $731,114.96
Quarterly payments remaining = 7 years * 4 =28
Quarterly payment =$731,114.96
Principle remaining after three years,
PV = $15,559,056
Return from bond = 73.37-78.12 = loss of $4.75
Hence loss percentage = (1000-923.92)/923.92 = 8.23%
Loss percentage in part 2 =4.75/73.37 = 6.08%
Price of MacDonald’s share now
Next dividend = $3.7
Growth rate= 5%
Market rate of return =11%
If company buys share today at $61.67 and received dividends the rate of return will be,
As per systematic risk is risk which occurred due to market in which company is operating, it does not arrive due to internal factors of the organization. This risk is a risk which cannot be eliminated by the organization because organization could not control on market forces. In the given events event A, C and E are systematic risk because these represent market risks which cannot be eliminated. On the other hand risk in event B and D are related to internal factors of the organizations hence represent unsystematic risk.
Year |
Cash flows |
Cumlative cashflows |
0 |
$ (85,000.00) |
$ (85,000.00) |
1 |
$ 18,000.00 |
$ (67,000.00) |
2 |
$ 22,500.00 |
$ (44,500.00) |
3 |
$ 27,000.00 |
$ (17,500.00) |
4 |
$ 31,500.00 |
$ 14,000.00 |
5 |
$ 36,000.00 |
$ 50,000.00 |
Payback period = =3+17500/31500 =3.556 years
Year |
Cash flows |
PV of cash flows @ 12% |
0 |
$ (85,000.00) |
$ (85,000.00) |
1 |
$ 18,000.00 |
$ 16,071.43 |
2 |
$ 22,500.00 |
$ 17,936.86 |
3 |
$ 27,000.00 |
$ 19,218.07 |
4 |
$ 31,500.00 |
$ 20,018.82 |
5 |
$ 36,000.00 |
$ 20,427.37 |
Net present value |
$ 8,672.54 |
Year |
Cash flows |
PV of cash flows @15.584% |
0 |
$ (85,000.00) |
$ (85,000.00) |
1 |
$ 18,000.00 |
$ 15,573.09 |
2 |
$ 22,500.00 |
$ 16,841.74 |
3 |
$ 27,000.00 |
$ 17,485.20 |
4 |
$ 31,500.00 |
$ 17,648.98 |
5 |
$ 36,000.00 |
$ 17,450.74 |
Net present value |
$ (0) |
At interest rate 15.584% net present value is zero, it concludes that project have a internal rate of return at 15.584%.
As company is having positive net present value and internal rate of return more than required rate of return it is recommended to company to continue with the project. Every company make evaluation of investment projects because these projects require huge capital implementation and if project would not provide satisfactory income then company will face loss.
Year |
Renovate |
Replace |
PV of Renovate cash flows |
PV of Replace cash flows |
0 |
-$9,000,000.00 |
-$1,000,000.00 |
-$9,000,000.00 |
-$1,000,000.00 |
1 |
$ 3,500,000.00 |
$ 600,000.00 |
$ 3,043,478.26 |
$ 521,739.13 |
2 |
$ 3,000,000.00 |
$ 500,000.00 |
$ 2,268,431.00 |
$ 378,071.83 |
3 |
$ 3,000,000.00 |
$ 400,000.00 |
$ 1,972,548.70 |
$ 263,006.49 |
4 |
$ 2,800,000.00 |
$ 300,000.00 |
$ 1,600,909.09 |
$ 171,525.97 |
5 |
$ 2,500,000.00 |
$ 200,000.00 |
$ 1,242,941.84 |
$ 99,435.35 |
Net present value |
$ 1,128,308.89 |
$ 433,778.78 |
||
Rank |
1 |
2 |
||
Internal rate of return |
20.49% |
36.08% |
||
Rank |
2 |
1 |
The ranking of the project showing mixed singles due to difference in the cash flow patter under both options. The project which have lower amount of initial investment and payback earlier have higher internal rate of return. Hence in the present case internal rate of return under replace project is higher.
Answer 7
Year |
Cash flows |
Discounted cash flow @15% |
0 |
$ (20,000.00) |
$ (20,000.00) |
1 |
$ 3,000.00 |
$ 2,608.70 |
2 |
$ 3,000.00 |
$ 2,268.43 |
3 |
$ 3,000.00 |
$ 1,972.55 |
4 |
$ 3,000.00 |
$ 1,715.26 |
5 |
$ 3,000.00 |
$ 1,491.53 |
6 |
$ 3,000.00 |
$ 1,296.98 |
7 |
$ 3,000.00 |
$ 1,127.81 |
8 |
$ 3,000.00 |
$ 980.71 |
9 |
$ 3,000.00 |
$ 852.79 |
Net present value |
$ (5,685.25) |
Year |
Cash flows |
Discounted cash flow @15% |
0 |
$ (600,000.00) |
$ (600,000.00) |
1 |
$ 120,000.00 |
$ 104,347.83 |
2 |
$145,000.00 |
$ 109,640.83 |
3 |
$170,000.00 |
$ 111,777.76 |
4 |
$190,000.00 |
$ 108,633.12 |
5 |
$220,000.00 |
$ 109,378.88 |
6 |
$240,000.00 |
$ 103,758.62 |
Net present value |
$ 47,537.04 |
Year |
Cash flows |
Discounted cash flow @15% |
0 |
$ (150,000.00) |
$ (150,000.00) |
1 |
$ 18,000.00 |
$ 15,652.17 |
2 |
$ 17,000.00 |
$ 12,854.44 |
3 |
$ 16,000.00 |
$ 10,520.26 |
4 |
$ 15,000.00 |
$ 8,576.30 |
5 |
$ 15,000.00 |
$ 7,457.65 |
6 |
$ 14,000.00 |
$ 6,052.59 |
7 |
$ 13,000.00 |
$ 4,887.18 |
8 |
$ 12,000.00 |
$ 3,922.82 |
9 |
$ 11,000.00 |
$ 3,126.89 |
10 |
$ 10,000.00 |
$ 2,471.85 |
Net present value |
$ (74,477.85) |
Year |
Cash flows |
Discounted cash flow @15% |
0 |
$ (760,000.00) |
$ (760,000.00) |
1 |
$ 185,000.00 |
$ 160,869.57 |
2 |
$ 185,000.00 |
$ 139,886.58 |
3 |
$ 185,000.00 |
$ 121,640.50 |
4 |
$ 185,000.00 |
$ 105,774.35 |
5 |
$ 185,000.00 |
$ 91,977.70 |
6 |
$ 185,000.00 |
$ 79,980.61 |
7 |
$ 185,000.00 |
$ 69,548.35 |
8 |
$ 185,000.00 |
$ 60,476.83 |
Net present value |
$ 70,154.48 |
Year |
Cash flows |
Discounted cash flow @15% |
0 |
$ (100,000.00) |
$ (100,000.00) |
1 |
$ – |
$ – |
2 |
$ – |
$ – |
3 |
$ – |
$ – |
4 |
$ 25,000.00 |
$ 14,293.83 |
5 |
$ 36,000.00 |
$ 17,898.36 |
6 |
$ – |
$ – |
7 |
$ 60,000.00 |
$ 22,556.22 |
8 |
$ 72,000.00 |
$ 23,536.93 |
9 |
$ 84,000.00 |
$ 23,878.04 |
Net present value |
$ 2,163.39 |
In the present case NPV’s of project B, D and E are positive hence these are acceptable projects on the other hand projects A and C are unacceptable because these have negative NPV and in turn expected to destroy wealth of shareholders of the organization.
Year |
Cash flows |
Cumulative cash flows |
0 |
$ (1.50) |
$ (1.50) |
1 |
$ 0.30 |
$ (1.20) |
2 |
$ 0.50 |
$ (0.70) |
3 |
$ 0.50 |
$ (0.20) |
4 |
$ 0.40 |
$ 0.20 |
5 |
$ 0.30 |
$ 0.50 |
Payback period = 3+.2/.4 =3.5 years
Year |
Cash flows |
Cumulative cash flows |
0 |
$ (0.40) |
$ (0.40) |
1 |
$ 0.10 |
$ (0.30) |
2 |
$ 0.20 |
$ (0.10) |
3 |
$ 0.20 |
$ 0.10 |
4 |
$ 0.10 |
$ 0.20 |
5 |
$ (0.10) |
$ 0.10 |
Payback period = 2+.1/.2 =2.5 years
Year |
Cash flows |
Cumulative cash flows |
0 |
$ (7.50) |
$ (7.50) |
1 |
$ 2.00 |
$ (5.50) |
2 |
$ 3.00 |
$ (2.50) |
3 |
$ 2.00 |
$ (0.50) |
4 |
$ 1.50 |
$ 1.00 |
5 |
$ 5.50 |
$ 6.50 |
Payback period = 3+.5/1.5 =3.33 years
Year |
Cash flows |
Discounted cash flows |
Cumulative cash flows |
0 |
$ (1.50) |
$ (1.50) |
$ (1.50) |
1 |
$ 0.30 |
$ 0.26 |
$ (1.24) |
2 |
$ 0.50 |
$ 0.38 |
$ (0.86) |
3 |
$ 0.50 |
$ 0.33 |
$ (0.53) |
4 |
$ 0.40 |
$ 0.23 |
$ (0.30) |
5 |
$ 0.30 |
$ 0.15 |
$ (0.15) |
Discounted payback period is more than project’s life
Year |
Cash flows |
Discounted cash flows |
Cumulative cash flows |
0 |
$ (0.40) |
$ (0.40) |
$ (0.40) |
1 |
$ 0.10 |
$ 0.09 |
$ (0.31) |
2 |
$ 0.20 |
$ 0.15 |
$ (0.16) |
3 |
$ 0.20 |
$ 0.13 |
$ (0.03) |
4 |
$ 0.10 |
$ 0.06 |
$ 0.03 |
5 |
$ (0.10) |
$ (0.05) |
$ (0.02) |
Discounted payback period= 3+ .03/.06 =3.5 years
Year |
Cash flows |
Discounted cash flows |
Cumulative cash flows |
0 |
$ (7.50) |
$ (7.50) |
$ (7.50) |
1 |
$ 2.00 |
$ 1.74 |
$ (5.76) |
2 |
$ 3.00 |
$ 2.27 |
$ (3.49) |
3 |
$ 2.00 |
$ 1.32 |
$ (2.18) |
4 |
$ 1.50 |
$ 0.86 |
$ (1.32) |
5 |
$ 5.50 |
$ 2.73 |
$ 1.41 |
Discounted payback period= 4+ 1.32/2.73 =4.48 years
If cutoff for discounted payback period is 4 years the company should accept only beta project.
Name of Company |
Calculation |
Required rate of return |
Fire |
4% + (12%-4%) * 0.85 |
10.8% |
Water |
4% + (12%-4%) * 1.25 |
14% |
Air |
4% + (12%-4%) * 1.6 |
16.8% |
Company |
Investment |
Weight of investment |
Required rate of return |
Weighted return |
Fire |
$ 2.00 |
20% |
10.80% |
2.16% |
Water |
$ 3.00 |
30% |
14% |
4.20% |
Air |
$ 5.00 |
50% |
16.80% |
8.40% |
Total |
$ 10.00 |
14.76% |
Required rate of return of portfolio= 14.76%
Name of Company |
Beta |
Weight of investment |
Weighted Beta |
Fire |
0.85 |
20% |
0.17 |
Water |
1.25 |
30% |
0.38 |
Air |
1.60 |
50% |
0.80 |
Beta of portfolio |
1.35 |
Required rate of return of portfolio=4%+ (12%-4%) * 1.35= 14.8%
Company |
Investment |
Weight of investment |
Required rate of return |
Weighted return |
Fire |
$0 |
0% |
10.80% |
0.00% |
Water |
$4.00 |
40% |
14% |
5.60% |
Air |
$6.00 |
60% |
16.80% |
10.08% |
Total |
$10.00 |
15.68% |
Method 2
Name of Company |
Beta |
Weight of investment |
Weighted Beta |
Water |
1.25 |
40% |
0.50 |
Air |
1.60 |
60% |
0.96 |
Total |
1.46 |
Required rate of return of portfolio=4%+ (12%-4%) * 1.46= 15.68%
References
Remer, D., & Nieto, A. (1995). A compendium and comparison of 25 project evaluation techniques. Part 1: Net present value and rate of return methods. International Journal of Production Economics , 42 (1), 79-96.
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