Single Cash Flow PV = FV (1+r)n Annuity : FV = PV(1+r) n (1+r)" − 1 (1+r)n−1 * FVA = PMT FVAD = PMT (1+r) r PVA = PMT r 1 1 1 (1+r)n PVAD = PMT (1+r)*(1+r) r r r(1+r)n PMT = PV (1+r)n-1 Perpetuities PVP = PMT r

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
Problem 1PS
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Question

If a firm’s earnings per share grew from $1 to $2 over a 10-year period, the total growth would be 100 percent, but the annual growth rate would be less than 10 percent. True or false? Explain. Under what conditions would the annual growth rate actually be 10 percent per year? (LO 4-2 & LO 4-4)

 

Using one of the equations or multiple in the picture attached.

Single Cash Flow
PV =
FV
(1+r)n
Annuity
:
FV = PV(1+r) n
(1+r)" − 1
(1+r)n−1 *
FVA = PMT
FVAD = PMT
(1+r)
r
PVA = PMT
r
1
1
1
(1+r)n
PVAD = PMT
(1+r)*(1+r)
r
r
r(1+r)n
PMT = PV
(1+r)n-1
Perpetuities
PVP =
PMT
r
Transcribed Image Text:Single Cash Flow PV = FV (1+r)n Annuity : FV = PV(1+r) n (1+r)" − 1 (1+r)n−1 * FVA = PMT FVAD = PMT (1+r) r PVA = PMT r 1 1 1 (1+r)n PVAD = PMT (1+r)*(1+r) r r r(1+r)n PMT = PV (1+r)n-1 Perpetuities PVP = PMT r
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