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Thorpe and Company is currently an? all-equity firm. It has three million shares

ID: 2615185 • Letter: T

Question

Thorpe and Company is currently an? all-equity firm. It has three million shares selling for ?$39 per share. Its beta is 1.3 and the current? risk-free rate is 3.4%. The expected return on the market for the coming year is 9.3?%. Thorpe will sell corporate bonds for 39,000,000 and retire common stock with the proceeds. The bonds are? twenty-year semiannual bonds with a 9.4?% coupon rate and $1,000 par value. The bonds are currently selling for ?$1,127.70 per bond. When the bonds are? sold, the beta of the company will increase to 1.6. What was the WACC of Thorpe and Company before the bond? sale? What is the adjusted WACC of Thorpe and Company after the bond sale if the corporate tax rate is 25%??

Hint?: The weight of equity before selling the bond is? 100%.

Explanation / Answer

Risk free rate Rf = 3.4%

Expected return from martet Rm = 9.3%

Beta or the company is ? = 1.3 before issue of Bonds

Cost of equity under CAPM method = Rf + ? (Rm - Rf)

= 3.4% + 1.3 (9.3% + 3.4%)

  = 11.07%

WACC berfore issue is the cost of equity because only one source is existed

So WACC before isuue of Bond is = 11.07%

Total equity out standing berfore issue of Bonds is 3 millinons

Equity value is 3millions X $39 = $ 117 millions

Proceeds from Bonds issue = $ 39 millions

Par value of the bond = $ 1000

No of Bonds issued = 39000000/1000

= 39000

Coupon rate of bond is = 9.4%

Coupon rate after tax is Rc = 9.4%(1-.25) = 7.05%

Out standing equity is = $ 117 millions - $39 millions

= $ 78 millions

Total capital = $ 78 millions of equity + $ 39 millions of Bonds

= $ 117 millions

Beta vaule after Bonds issue is = 1.6

Cost of equity after Bonds issue Re =  Rf + ? (Rm - Rf)

= 3.4% + 1.6 ( 9.3% - 3.4%)

Re= 12.84%

Weihgtage of equity is We = 78/117 = .67

Weightage of Bonds Wb = 39/117 = .33

WACC after bonds issue = (We X Re) + ( Wc X We)

WACC after bonds issue = (.67 x 12.84%) + (.33 x 7.05%)

= 10.93%

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