Question

Calculate the present value of the after tax net returns to land in the 7th year if thereal pre-tax net returns to land today are $250, real net returns to land are assumedto increase by 5% each year, inflation is 4%, the marginal tax rate is 20%, and thepretax risk adjusted discount rate is 10%.

a. 270.10
b. 216.08
c. 105.27
d. 163.84

Answer 1

b. $216.08

Step-by-step explanation:

Fn = Fo * (1+g)^n

Fn = $250*(1.05)^7

Fn = $250*1.40710

Fn = $351.775

Nominal net returns = $351.775 * (1.04)^7

Nominal net returns = $351.775 * 1.315932

Nominal net returns = $462.912

After tax return = Nominal net returns * (1 - 20%)

After tax return = $462.912 * (1 - 0.2)

After tax return = $370.33

After-tax, risk adjusted discount rate = 0.1*(1 - 0.2)

After-tax, risk adjusted discount rate = 0.1*0.8

After-tax, risk adjusted discount rate = 0.08

After-tax, risk adjusted discount rate = 8%

PV after-tax net return in 7th year = After tax return * (1+8%)^-7

PV after-tax net return in 7th year = $370.33 * (1+0.08)^-7

PV after-tax net return in 7th year = $370.33 * 0.583490

PV after-tax net return in 7th year = $216.08