Skye$$s earnings per share last year were $$3\mathrm{.}20.$ The common stock sells for $$55\mathrm{.}00,$ last year$$s dividend $($D$0$

$)$ was $$2\mathrm{.}10,$ and a flotation cost of $10\%$ would be required to sell new common

stock. Security analysts are projecting that the common dividend will grow at an annual rate of $9\%.$ Skye$$s preferred stock pays a dividend of $$3\mathrm{.}30$ per share, and its preferred stock sells for $$30\mathrm{.}00$ per share. The firm$$s before$-$tax cost of debt is $10\%,$ and its marginal tax rate is $25\%.$ The firm$$s currently outstanding $10\%$ annual coupon rate, long$-$term debt sells at par value. The market risk premium is $5\%,$ the risk$-$free rate is $6\%,$ and Skye$$s beta is $1\mathrm{.}516.$ The firm$$s total debt, which is the sum of the company$$s short$-$term debt and long$-$term debt, equals $$1\mathrm{.}2$ million. a$.$ Calculate the cost of each capital component, that is$,$ the after$-$tax cost of debt, the cost of preferred stock, the cost of equity from retained earnings, and the cost of newly issued common stock. Use the DCF method to find the cost of common equity.

b$.$ Now calculate the cost of common equity from retained earnings, using the CAPM method.

c$.$ What is the cost of new common stock based on the CAPM? $($Hint: Find the difference between re

CAPM value for rs

and rs as determined by the DCF method, and add that differential to the $.)$

d$.$ If Skye continues to use the same market$-$value capital structure, what is the firm$$s WACC assuming that $(1)$ it uses only retained earnings for equity and $(2)$ if it expands so rapidly that it must issue new common stock?$10-21$ CALCULATING THE WACC Here is the condensed $2021$ balance sheet for Skye Computer

Company $($in thousands of dollars$)$:

Skye's earnings per share last year were $$3\mathrm{.}20.$ The common stock sells for $$55\mathrm{.}00,$ last year's

dividend $(D_0)$ was $$2\mathrm{.}10,$ and a flotation cost of $10\%$ would be required to sell new common

stock. Security analysts are projecting that the common dividend will grow at an annual rate of

$9\%.$ Skye's preferred stock pays a dividend of $$3\mathrm{.}30$ per share, and its preferred stock sells for

$$30\mathrm{.}00$ per share. The firm's before$-$tax cost of debt is $10\%,$ and its marginal tax rate is $25\%.$ The

firm's currently outstanding $10\%$ annual coupon rate, long$-$term debt sells at par value. The

market risk premium is $5\%,$ the risk$-$free rate is $6\%,$ and Skye's beta is $1\mathrm{.}516.$ The firm's total debt,

which is the sum of the company's short$-$term debt and long$-$term debt, equals $$1\mathrm{.}2$ million.

a$.$ Calculate the cost of each capital component, that is$,$ the after$-$tax cost of debt, the cost

of preferred stock, the cost of equity from retained earnings, and the cost of newly

issued common stock. Use the DCF method to find the cost of common equity.

b$.$ Now calculate the cost of common equity from retained earnings, using the CAPM

method.

c$.$ What is the cost of new common stock based on the CAPM? $($Hint: Find the difference

between $r_c$ and $r_s$ as determined by the DCF method, and add that differential to the

CAPM value for $r_s.)$

d$.$ If Skye continues to use the same market$-$value capital structure, what is the firm's

WACC assuming that $(1)$ it uses only retained earnings for equity and $(2)$ if it expands

so rapidly that it must issue new common stock?