Capital Budgeting: Discounted Cash Flow Analysis Harvard Case Solution & Analysis

Capital Budgeting: Discounted Cash Flow Analysis Case Study Analysis

Introduction

Capital Budgeting and DCF Analysis

capital budgeting is the process used by the business to evaluate the profitability of current and future projects. This case includes 7 exercises collectively that are related to cash flow analysis and capital budgeting analysis.

(Thomas, 1997).

Q.01 Net Present Value (NPV), Internal Rate of Return (IRR) and Payback Period

Price of Machine 500000
Cash cost saving 200000
Years 5
Salvage Value 75000
Tax rate 40%
Discount rate 8%
Depreciable cost 425000
Annual Depreciation 85000
Net Present Value $165,921.09
IRR 19%
Payback Period 3.2

 

After analyzing the values and requirements of the course instructor we do the calculations and find these results.

NPV $165,921.09

NPV signifies the variance concerning the original investment and the PV of expected cash flows. In this case, the project seems profitable because the NPV is positive.

IRR 19%

IRR is the proportion at which the venture breaks even (NPV equals zero). An IRR of 19% specifies that the project is projected to deliver a profit of 8% (the discount rate used), which is a good sign.

The analysis suggests that the investment in this machine is financially viable and profitable. The positive NPV and IRR above the discount rate indicate that the project is expected to generate positive returns. Additionally, the payback period is relatively short about 3.2 years indicating a quick return on the investment.

Q.02 Three-handed loaded machine and Automatic Mining Machine

Hand loaded blocks 4 5 6 7 8 9 10 11 12 13 14 15
Cash In 8000 8000 8000 8000 8000 8000 8000 8000 8000 8000 8000 8000
Cash-out                        
Actual after-tax cash flow 8000 8000 8000 8000 8000 8000 8000 8000 8000 8000 8000 8000
No of years for calculating PV 0 1 2 3 4 5 6 7 8 9 10 11
Present Value 8000 7477 6988 6530 6103 5704 5331 4982 4656 4351 4067 3801
Net Present Value 67989                      
                         
Automatic Mining 4 5 6 7 8 9 10 11 12 13 14 15
Cash In 115,000 115,000 115,000 115,000 115,000 115,000 115,000 115,000 115,000 115,000 115,000 115,000
Cash-out 480000                      
Actual after-tax cash flow -365,000 115,000 115,000 115,000 115,000 115,000 115,000 115,000 115,000 115,000 115,000 115,000
No of years for calculating PV 0 1 2 3 4 5 6 7 8 9 10 11
Present Value -365,000 107477 100445 93874 87733 81993 76629 71616 66931 62552 58460 54636
Net Present Value 497,348                      

 

Recommendation

Based on the NPV analysis, the Automatic Mining Machine investment appears to be a better choice from a financial perspective because the value of this alternative is higher than hand-loaded blocks.

Q.03 Product line should continue or not

  1 2 3 4 5 6 7 8
Year 1998 1999 2000 2001 2002 2003 2004  
Units 1000000 1000000 1000000 1000000 1000000 1000000 1000000  
Unit price 20 20.6 21 21.15 21.25 21.25 21  
Sales 20000000 20600000 21000000 21150000 21250000 21250000 21000000 0
COGS 10000000 10300000 10609000 10927270 11255088 11592741 11940523  
Depreciation 1057000 1124000 1204000 1304000 1404000 1504000 1504000 1504000
GP 8943000 9176000 9187000 8918730 8590912 8153259 7555477  
SGA 7000000 7210000 7426300 7649089 7878562 8114919 8358366  
EBIT 1943000 1966000 1760700 1269641 712350.2 38340.74 -802889  
TAX 40% 777200 786400 704280 507856.4 284940.1 15336.29 -321156  
EBIAT 1165800 1179600 1056420 761784.6 427410.1 23004.44 -481733  
                 
NOPAT 1165800 1179600 1056420 761784.6 427410.1 23004.44 -481733  
Add Depreciation 1057000 1124000 1204000 1304000 1404000 1504000 1504000  
Less CapEx -400000 -400000 -400000 -400000 -300000 -200000 0  
Less Change WC -108000 -111000 -79000 -40000 -33000 -17000 23000 3957000
Free Cash flow 1714800 1792600 1781420 1625785 1498410 1310004 1045267 3957000
DCF 1531071.429 1429050 1267980 1033216 850238.2 663689 472825.5 1598165.933
NPV $8,846,234.87              
                 
If we Discontinue now                
Sale offered Assets $3,000,000.00              
Tax Benefit on loss $1,600,000.00              
Recovery of Working Capital $3,592,000.00              
Net Cash Flow $8,192,000.00              

 

From the above calculations and interpreting the results we can recommend that the production line must be continued because it has a positive economic effect on profitability. The NPV is positive and higher which means it is also beneficial for upcoming time.

Q.04 Special Promotion Program

Year 1998 1999 2000 2001 2002 2003 2004 2005
Units 250 250 250 250 250 250 250  
Unit price 20.00 20.60 21.00 21.15 21.25 21.25 21.00  
Capex 1400.00 0.00 0.00 0.00 0.00 0.00 0.00  
Sales 5,000,000 5,150,000 5,250,000 5,288,500 5,312,500 5,312,500 5,250,000  
Cash COGS 2,500,000 2,575,000 2,652,250 2,731,818 2,813,772 2,898,185 2,985,131  
Depreciation 200,000 200,000 200,000 200,000 200,000 200,000 200,000  
Gross profit 2300000 2375000 2397750 2356682 2298728 2214315 2064869  
Sell 1,250,000 1,287,500 1,326,125 1,365,909 1,406,886 1,449,093 1,492,565  
Special promotion 1,000,000 1,000,000 500,000 0 0 0 0  
EBIT 50000 87500 571625 990,773 891842 765222 572304  
Tax 40% 20000 35000 228650 396309.2 356736.8 306088.8 228922  
EBIAT 30000 52500 342975 594464 535105 459133 343382  
Change in WC   28.00 20.00 10.00 8.00 4.00 6.00 989.00
                 

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