Question

Corporation is expected to pay the following dividends over the next 4 years: $14, $10, $9,...

Corporation is expected to pay the following dividends over the next 4 years: $14, $10, $9, $4.50

Afterward, the company pledges to maintain a constant 4 percent growth rate in dividends forever.

If the required return on stock is 10 percent, what is the current share price?

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Answer #1

Present Value of Dividends =

Year Dividend Discounting Factor (10%) Present Value ( Dividend * Discounting factor)
1 14.00 0.9090909090909090 12.7272727272727
2 10.00 0.8264462809917350 8.26446280991735
3 9.00 0.7513148009015780 6.7618332081142
4 4.50 0.6830134553650710 3.07356054914282
Present Value of Dividends 30.8271292944471

Expected Dividend in Year 5 = Dividend in Year 4 * ( 1+ Growth Rate)

= $ 4.50 * ( 1+ 4%)

= $ 4.68

Price in Year 4= Expected Dividend in Year 5 / (Required Return - Growth Rate)

= $ 4.68 / ( 10% -4%)

= $ 78

Present Value of  Price in Year 4 = $ 78 * 0.6830134553650710

= $ 53.2750495184755

Hence, Current Price = Present Value of  Price in Year 4 + Present Value of Dividends

= $ 53.2750495184755 + $30.8271292944471

= $ 84.10

Hence the correct answer is $ 84.10

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