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a firm is expected to make four dividend payments of 1.30. Then dividends are expected to...

a firm is expected to make four dividend payments of 1.30. Then dividends are expected to stop for 2 periods. at that point the stock has a forecasted EPS of $24.40 and PE ratio of 11.2. if the required return of the stock is 15%, what is its intrinsic value? Answer is 106.52. Show step by step work please

Solutions

Expert Solution

The intrinsic value of the stock is equal to the present value of future cash flows (Dividends + price in year 7)

D1 = 1.30

D2 = 1.30

D3 = 1.30

D4 = 1.30

D5 = 0

D6 = 0

r = 15%

The present value of the dividends = 1.30/(1 + 0.15)^1 + 1.30/(1 + 0.15)^2 + 1.30/(1 + 0.15)^3 + 1.30/(1 + 0.15)^4

The present value of the dividends = 1.1304347826 + 0.9829867675 + 0.8547711022 + 0.7432792193

The present value of the dividends = $3.7114718716

EPS = 24.40

PE = 11.2

Price in year 7 = EPS * PE

Price in year 7 = 24.40 * 11.2

Price in year 7 = $273.28

The present value of the price in year 7 = 273.28/(1 + 0.15)^7

The present value of the price in year 7 = 273.28/2.6600198805

The present value of the price in year 7 = $102.736074269

The intrinsic value of the stock = The present value of the dividends + The present value of the price in year 7

The intrinsic value of the stock = 3.7114718716 + 102.736074269

The intrinsic value of the stock = 106.4475461406

The intrinsic value of the stock = $106.45

The intrinsic value is very close to $106.52 (It is slightly off may be due to rounding error, but this is the process to calculate the intrinsic value)

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