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Definition
-The sum of the PVs of a series of CFs -The rate used to discount is appropriate cost of capital (reflects the OC of undertaking the investment and compensates investors for various risks inherent in the project) + --> increase shareholder wealth; accept - ---> decrease shareholder wealth; reject |
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-discount rate that equates the PV of a series of CFs to their cost (makes the NPV=0) -IRR>required rate of return (return that could be earned by alternate investments) ACCEPT -IRR< required rate of return REJECT |
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Conflicting conclusions when: 1) projects' initial cash outlays are different 2) difference in timing of the CFs across the projects
-NPV assumes interim CFs from project will be reinvested at the required rate of return -IRR assumes they will be reinvest at the IRR |
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1)More than one IRR --> if series of CFs has more than one sign change 2) No IRR problem |
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-the return earned on an investment over the entire investment horizon --> most returns you see are only annualized returns |
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-the return earned on an investment over the entire investment horizon --> most returns you see are only annualized returns |
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-the return earned on an investment over the entire investment horizon --> most returns you see are annualized returns |
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Money-weighted rate of return |
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Definition
-portfolio performance measure (reflects upon portfolio manager) -applies IRR concept **depends on magnitude and timing of cash inflows/outflows |
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-portfolio performance measure -measures the compounded rate of growth of an investment over the stated measurement period -does not depend on magnitude and timing of cash inflow/outflow -better measure if fund manager doesn't have control on timing of cash inflows/outflows -depends on investment decisions of portfolio manager |
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-portfolio performance measure -measures the compounded rate of growth of an investment over the stated measurement period -basically the geometric mean of sub period returns -does not depend on magnitude and timing of cash inflow/outflow -better measure if fund manager doesn't have control on timing of cash inflows/outflows -depends on investment decisions of portfolio manager |
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Geometric vs arithmetic mean |
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Definition
-geometric gain links percentage gains and losses from one period to another -arithmetic return calculates data as if they were independent from one another |
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Money weighted vs Time weighted outcomes |
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-if funds are deposited to the investment portfolio prior to a period of superior performance, the money weighted return will be HIGHER than the time weighted return -funds deposited before poor performance, money weighted return will be LOWER than time-weighted return |
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Bank Discount Yield (equation and concept) |
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Definition
rBD= (D/F) * (360/t) rBD is the bank discount yield D is the dollar discount (face value - purchase price) F is the face value of the T-bill t=actual number of days remaining to maturity 360 = BANK convention of # of days in a year
-measure of a bonds percentage return -quoting convention that ANNUALIZES the discount as a percentage of face value (par) based on a 360 DAY YEAR -used for T-Bills (quoted on a bank discount basis rather than on price basis) |
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Bank Discount Yield (flaws) |
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Definition
1) Yield is based on face value of the bill and not on its purchase price. -->returns from investments should be evaluated relative to amount that is invested!! 2) annualized based on a 360 day year rather than 365 day 3) yield annualizes w simple interest, ignoring the opportunity to earn interest on interest (compound interest) |
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Term
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Definition
HPY= (P1-P0+D1)/P0 = [(P1+ D1)/P0] - 1 -return realized on an investment over the entire horizon that it is held -UNANNUALIZED return measure |
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EAY = [(1+HPY)^(365/t)] - 1 |
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rMM = HPY x (360/t) rMM is the money market yield
-makes use of simple interest than compound interest -uses 360 day year -BETTER thank BDY bc it uses HPY (returns to investment instead of par) |
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Definition
BEY= 2 * 6 month yield
-BEY-semi-annual discount rate multiplied by two -reason for it: most bonds pay coupons semi-annually -->in US bonds are quoted at twice the semi-annual rate bc coupons payments are made semi-annually |
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Term
convert bank discount yield to money market yield |
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Definition
rMM = (360 * rBD)/(360-(t*rBD)) |
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