FORMULAS - Simon Foucher
FORMULAS
• FV = PV (1+ r)n or FV = PV (1 + r/m)nxm
• Effective Rate = r* = [(1 + r/m)m - 1]
• PV = FV x [1 / (1 + r)n ] or = FV [ 1 / (1 + r/m)nxm ]
• FVA = Amount x [ (1 + r)n – 1] / r
• PVA = Amount x [ 1 – 1/(1 + r)n ] / r
• Annuity Due; (PVAn,r%)(1 + r)
(FVAn,r%)(1 + r)
• PV of Perpetuity = $ Amount / r
• Loan Payments = Loan / PVAn,r%
• Market Value of Bond = PV of Coupon + PV of Principal, using YTM
• YTM = [ $ Coupon + (FV - MV) / n ] / [ FV + .6 (MV - FV) ]
• Market Price of Common Share
- Zero Growth Po = Div / r
- Constant Growth Po = Do(1 + g) / r - g
where, r = [ Do(1 + g) / Po ] + g
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