Answer:
P₀ = $59.45
Explanation:
the numbers are missing so I looked for a similar question:
- expected EPS = $2.775
- retain 0% of earnings (years 1 - 2)
- retain 48% of earnings (years 3 - 4)
- then retain 23%
- expected return on new projects = 22.4%
- Re = 10.7%
growth rate = retention rate x return on new projects
g₁ = not given EPS₁ = $2.775
g₂ = 1 x 22.4% = 22.4% EPS₂ = $3.3966
g₃ = 1 x 22.4% = 22.4% EPS₃ = $4.1574
g₄ = 0.48 x 22.4% = 10.752% EPS₄ = $4.6044
g₅ = 0.48 x 22.4% = 10.752% EPS₅ = $5.0995
g₆ = 0.23 x 22.4% = 5.152% EPS₆ = $5.3622
dividend payout ratio expected dividend
year 1 = 0 $0
year 2 = 0 $0
year 3 = 0.52 $2.1618
year 4 = 0.52 $2.3943
year 5 = 0.77 $3.9266
year 6 = 0.77 $4.1289
since the growth rate became constant at year 6, we can find the terminal value for year 5:
terminal value year 5 = $4.1289 / (10.7 - 5.152%) = $74.4214
P₀ = $0/1.07 + $0/1.07² + $2.1618/1.07³ + $2.3943/1.07⁴ + $3.9266/1.07⁵ + $74.4214/1.07⁵ = $0 + $0 + $1.7647 + $1.8266 + $2.7996 + $53.0614 = $59.45
