Question

Holt Enterprises recently paid a dividend, D₀, of $3.00. It expects to have nonconstant growth of 18% for 2 years followed by a constant rate of 5% thereafter. The firm's required return is 13%.

1. How far away is the horizon date?
   1. The terminal, or horizon, date is Year 0 since the value of a common stock is the present value of all future expected dividends at time zero.
   2. The terminal, or horizon, date is the date when the growth rate becomes nonconstant. This occurs at time zero.
   3. The terminal, or horizon, date is the date when the growth rate becomes constant. This occurs at the beginning of Year 2.
   4. The terminal, or horizon, date is the date when the growth rate becomes constant. This occurs at the end of Year 2.
   5. The terminal, or horizon, date is infinity since common stocks do not have a maturity date.

1. 
   
2. What is the firm's horizon, or continuing, value? Round your answer to two decimal places. Do not round your intermediate calculations.
   
   $
   
3. What is the firm's intrinsic value today, P̂₀? Round your answer to two decimal places. Do not round your intermediate calculations.
   
   $

Answer 1

a)

The terminal, or horizon, date is the date when the growth rate becomes constant. This occurs at the end of Year 2

b)

Year 1 dividend = 3 * 1.18 = 3.54

Year 2 dividend = 3.54 * 1.18 = 4.1772

Year 3 dividend = 4.1772 * 1.05 = 4.3861

Horizon value = D3 / required rate - growth rate

Horizon value = 4.3861 / 0.13 - 0.05

Horizon value = 4.3861 / 0.08

Horizon value = $54.83

c)

Intrinsic value = 3.54 / (1 + 0.13)¹ + 4.1772 / (1 + 0.13)² + 54.83 / (1 + 0.13)²

Intrinsic value = $49.34