Weston Corporation just paid a dividend of $1.25 a share (i.e., D0=$1.25). The dividend is expected to grow 8% a year for the next 3 years and then at 3% a year thereafter. What is the expected dividend per share for each of the next 5 years? Do not round intermediate calculations. Round your answers to the nearest cent.
Q. Weston Corporation just paid a dividend of $1.25 a share (i.e., D0=$1.25). The dividend is expected to grow 8% a year for the next 3 years and then at 3% a year thereafter. What is the expected dividend per share for each of the next 5 years? Do not round intermediate calculations. Round your answers to the nearest cent.
Calculate D1: Calculate the expected dividend for the first year (D1).The dividend is expected to grow by 8\% a year for the next 3 years. The formula to calculate the dividend for the first year is:D1=D0×(1+g), where D0 is the dividend just paid, and g is the growth rate.D1=$1.25×(1+0.08)D1=$1.25×1.08D1=$1.35
Calculate D2: Calculate the expected dividend for the second year (D2). The dividend will continue to grow at 8% for the second year. The formula to calculate the dividend for the second year is: D2=D1×(1+g)D2=$1.35×(1+0.08)D2=$1.35×1.08 D\(2\) = \$\(1\).\(458\)
Calculate D\(3\): Calculate the expected dividend for the third year (D\(3\)). The dividend will grow at \(8\)% for the third year as well. The formula to calculate the dividend for the third year is: \(D_3 = D_2 \times (1 + g)\) \(D_3 = \$(1.458) \times (1 + 0.08)\) \(D_3 = \$(1.458) \times 1.08\) D_3 = \\(1\).\(57464\)
Calculate D\(4\): Calculate the expected dividend for the fourth year (D\(4\)).\(\newline\)After the third year, the dividend growth rate changes to \(3\)%. The formula to calculate the dividend for the fourth year is:\(\newline\)\(D4 = D3 \times (1 + g_{\text{new}})\), where \(g_{\text{new}}\) is the new growth rate.\(\newline\)\(D4 = \$1.57464 \times (1 + 0.03)\)\(\newline\)\(D4 = \$1.57464 \times 1.03\)\(\newline\)\(D4 = \$1.62188\)
Calculate D\(5\): Calculate the expected dividend for the fifth year (D\(5\)). The dividend will continue to grow at \(3\)% for the fifth year. The formula to calculate the dividend for the fifth year is: \(D5 = D4 \times (1 + g_{\text{new}})\) \(D5 = \$(1.62188) \times (1 + 0.03)\) \(D5 = \$(1.62188) \times 1.03\) D5 = \$(\(1\).\(67054\))
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