Management and Organizational Studies 2310A/B Chapter 6: Discounted Cash Flow Valuation

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Future and present values of multiple cash flows. R = period interest rate, expressed as a decimal. The present value of a series of cash flows is simply the amount needed today in order to exactly duplicate the future cash flows at a given discount rate (cid:1832)=(cid:1842)(cid:4666)1+(cid:1870)(cid:4667) (cid:1842)= (cid:1832) (cid:4666)1+(cid:1870)(cid:4667) Annuity a level system of cash flows for a fixed period of time. Ordinary annuity series of level cash flows that occur at the end of each period for a fixed number of periods. Future value for annuities (cid:1866)(cid:1866)(cid:1873)(cid:1872) (cid:1868)(cid:1870)(cid:1857)(cid:1871)(cid:1857)(cid:1866)(cid:1872) (cid:1874)(cid:1853)(cid:1864)(cid:1873)(cid:1857)= 1 (cid:1868)(cid:1870)(cid:1857)(cid:1871)(cid:1857)(cid:1866)(cid:1872) (cid:1874)(cid:1853)(cid:1864)(cid:1873)(cid:1857) (cid:1858)(cid:1853)(cid:1855)(cid:1872)(cid:1867)(cid:1870) (cid:1866)(cid:1866)(cid:1873)(cid:1872) (cid:1832)(cid:1873)(cid:1872)(cid:1873)(cid:1870)(cid:1857) (cid:1874)(cid:1853)(cid:1864)(cid:1873)(cid:1857)= (cid:1832)(cid:1873)(cid:1872)(cid:1873)(cid:1870)(cid:1857) (cid:1874)(cid:1853)(cid:1864)(cid:1873)(cid:1857) 1 (cid:1870) Annuity date series of level cash flows that occur at the beginning of each (cid:1870) period for a fixed number of periods. Perpetuity infinite series of equal payments. Consol a type of perpetuity (cid:1842)(cid:1857)(cid:1870)(cid:1868)(cid:1857)(cid:1872)(cid:1873)(cid:1872) (cid:1868)(cid:1870)(cid:1857)(cid:1871)(cid:1857)(cid:1866)(cid:1872) (cid:1874)(cid:1853)(cid:1864)(cid:1873)(cid:1857) (cid:1870)(cid:1853)(cid:1872)(cid:1857)=(cid:1855)(cid:1853)(cid:1871) (cid:1858)(cid:1864)(cid:1867)(cid:1875) (cid:1842)= (cid:1870) (cid:1859) (cid:1842)= (cid:1870) (cid:1859)(cid:4666)1 (1+(cid:1859)1+(cid:1870))(cid:4667)

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