Please answer number 8 and show all work.

b. Should Tale use more preferred stock financing than debt financing since it is cheaper? 8. Estimating the cost of capital of a firm. You have been asked to estimate the cost of capital for the CAT corporation. The company has 4 million shares and 125,000 bonds outstanding at par value $1,000. In addirion, it has $20 million in short-term debt from its bank. The target capi tal structure ratio is 55 percent equity, 40 percent long-term debt, and 5 percent short-term debt. The current capital structure has temporarily moved slightly away from the target ratio. The company's shares currently trade at $50 with a beta of 1.03. The book value of the shares is $16. The annual coupon rate of the bonds is 9 percent, they trade at 108 percent of par, and they will mature in ten years. Interest on the short-term debt is 3.5 percent. The current yield on ten-year government bonds is S.2 percent. The market risk premium is 5 percent. The corporate tax rate applicable is expected to be 35 percent. Based on these data, calculate the cost of capital for the CAT Corporation