bates.py

Created on December 08, 2024
1.72 KB
def bates_valuation(
    temps_detention,        # Temps de détention (en années)
    tx_growth_div_pct,      # Taux de croissance des dividendes (en %)
    tx_distrib_div_DPR_pct, # Taux de distribution des dividendes (en %)
    multiplicateur_PER,     # Multiplicateur prévu au bout de X ans (PER)
    tx_actualisation_pct,   # Taux d'actualisation (en %)
    BPA_0                   # Bénéfice Par Action initial
):
    g = tx_growth_div_pct / 100.0
    DPR = tx_distrib_div_DPR_pct / 100.0
    r = tx_actualisation_pct / 100.0
    T = temps_detention

    terme_actualise = ((1 + g) / (1 + r)) ** T
    partie_dividendes = DPR * ((1 + g) / (r - g)) * (1 - terme_actualise)
    partie_per_terminal = multiplicateur_PER * terme_actualise
    PER_0 = partie_dividendes + partie_per_terminal
    P_0 = PER_0 * BPA_0
    return P_0, PER_0

# Programme principal
print("la temps de detention =")
temps_detention = float(input())
print("tx  growth div (en%) =")
tx_growth_div_pct = float(input())
print("tx distrib div DPR (en %) =")
tx_distrib_div_DPR_pct = float(input())
print("Multiplicateur prévu au bout \nde X ans PER =")
multiplicateur_PER = float(input())
print("Tx actualistation (%) =")
tx_actualisation_pct = float(input())
print("BPA_0 (Bénéfice Par Action initial) =")
BPA_0 = float(input())

P_0, PER_0 = bates_valuation(
    temps_detention,
    tx_growth_div_pct,
    tx_distrib_div_DPR_pct,
    multiplicateur_PER,
    tx_actualisation_pct,
    BPA_0
)

print("----- Résultats -----")
print("PER_0 = {:.2f}".format(PER_0))
print("P_0 = {:.2f}".format(P_0))
print("")
print("Formule récapitulative :")
print("PER_0 = [DPR * ((1+g) / (r - g)) * (1 - ((1+g)/(1+r))^T)] + [PER_T * ((1+g)/(1+r))^T]")
print("P_0 = PER_0 * BPA_0")