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 $100, real net returns to land are assumedto increase by 4% each year, inflation is 3%, the marginal tax rate is 30%, and thepretax risk adjusted discount rate is 10%.Group of answer choices

Answer 1

Answer:

PV(after-tax net return in 7th year) = 70.55 (Approx)

Explanation:

Given:

Number of year = 7

Pre-tax net returns (Fn) = $100

Growth rate = 4% = 0.04

Inflation = 3% = 0.03

Marginal tax rate = 30% = 0.3

Discount rate = 10% = 0.1

Computation:

Fn = Fo(1+g)ⁿ = 100(1.04)⁷

Fn = 131.6

Nominal net returns = 131.6(1.03)⁷

Nominal net returns = 161.85

After tax return = 161.85  (1 - 0.3)

After tax return = 113.30

After-tax, risk adjusted discount rate = 0.1(1-0.3) = 7%

PV(after-tax net return in 7th year) = 113.30 (1+0.07)⁻⁷

PV(after-tax net return in 7th year) = 70.55 (Approx)