CHAPTER 4 DISCOUNTED CASH FLOW VALUATION Solutions to Questions and Problems 10. To find the future value with continuous compounding‚ we use the equation: FV = PVeRt a. b. c. d. FV = $1‚000e.12(5) FV = $1‚000e.10(3) FV = $1‚000e.05(10) FV = $1‚000e.07(8) = $1‚822.12 = $1‚349.86 = $1‚648.72 = $1‚750.67 23. We need to find the annuity payment in retirement. Our retirement savings ends at the same time the retirement withdrawals begin‚ so the PV of the retirement withdrawals will be the FV of
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discounted cash flow (DCF In finance‚ discounted cash flow (DCF) analysis is a method of valuing a project‚ company‚ or asset using the concepts of the time value of money. All future cash flows are estimated and discounted to give their present values (PVs) — the sum of all future cash flows‚ both incoming and outgoing‚ is the net present value (NPV)‚ which is taken as the value or price of the cash flows in question. Using DCF analysis to compute the NPV takes as input cash flows and a discount
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important consideration when using the DCF approach to valuation is its validity and usefulness in valuing companies and their stock prices. Various studies have established that a strong correlation between estimated future cash flows and the value of a firm exists (Copeland et al‚ 1994 ; Brealey and Myers ‚ 2000; Jones‚ 1998 ). In their study of 51 highly leveraged transactions (HLTs) ‚ Kaplan and Ruback (1995) found that the valuations using the DCF methods are within 10%‚ on average‚ of the
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in Tables 4.10 and 4.11 do not show free cash flow and financing requirements. These are calculated in Table 1. Note that free cash flow for 2005 is -$2.3 million. But dividends are $2.0‚ so the company will need 2.3 + 2.0 = $4.3 million in outside equity financing. Table 2 shows that the book value of equity is forecasted to grow from $40.71 million in 2004 to $63.31 million at the end of 2010. Table 3 works out earnings‚ dividends and free cash flow for 2011. By that time Reeby Sports should
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investors are willing to buy shares in these firms. How is this possible? Does this violate our basic principle of stock valuation? Explain. Our basic principle of stock valuation is that the value of a share of stock is simply equal to the present value of all of the expected dividends on the stock. According to the dividend growth model‚ an asset that has no expected cash flows has a value of zero‚ so if investors are willing to purchase shares of stock in firms that pay no dividends‚ they evidently
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stock had an initial price of $92 per share‚ paid a dividend of $1.45 per share during the year‚ and had an ending share price of $104. Compute the percentage total return. The return of any asset is the increase in price‚ plus any dividends or cash flows‚ all divided by the initial price. The return of this stock is: R = [($104 – 92) + 1.45] / $92 R = 0.1462 or 14.62% Calculating Returns Rework the problem above‚ but this time assuming the ending share price is $81. Using the equation
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Chapter 7 – Discounted Cash Flow Techniques page 247 A brief tutorial on Excel financial functions (problems to follow) You may find the following Excel‚ built-in financial functions helpful when analyzing the problems below. (To access these functions‚ select Insert‚ Functions‚ and choose Financial.) =PV(rate‚ nper‚ pmt‚ fv‚ type) returns the present value of a series of cash flows. =FV(rate‚ nper‚ pmt‚ pv‚ type) returns the future value of a series of cash flows. =PMT(rate
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Title: THE PRACTICAL APPLICATION OF DISCOUNTED CASH-FLOW BASED VALUATION METHODS Publication: Studia Universitatis Babes Bolyai – Oeconomica‚ LII‚ 2/2007 Author Name: Takács‚ András; Language: English Subject: Economy Issue: 2/2007 Page Range: 13-28 Summary: Valuation methods based on Discounted Cash-Flow (DCF) play a major role in the field of company valuation. The current literature contains a reasonably deep and detailed theoretical basis for DCFbased valuation‚ although‚ when starting to apply
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***************************** SAMPLE PAGES FROM TUTORIAL GUIDE ***************************** Table of contents SECTION 1: OVERVIEW DCF in theory and in practice Unlevered vs. levered DCF SECTION 2: MODELING THE DCF Modeling unlevered free cash flows Discounting to reflect stub year and mid-year adjustment Terminal value using growth in perpetuity approach Terminal value using exit multiple approach Calculating net debt Shares outstanding using the treasury stock method Modeling the weighted
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Discounted Cash Flow Homework Problems Please post the answers (and show your work) in the assignments section by midnight the last day of the week assigned. 1. Calculate the future value of 1‚535 invested today for 8 years at 6 percent. (5 points) $1535 * 1.5938 = $2‚446 2. What is the total present value of the following cash stream‚ discounted at 8 percent? (5 points) |Year |Amount |Rate |PV | |1 | $ 400
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