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17. (Cost ofDebt) Sincere Stationery Corporation needs to raise Rs600,000 to improve its manufacturing plant. It has decided to issue a Rs1,000 par value bond with a 14 percent annual coupon rate and a 10-year maturity If the investors require a 13 percent rate of return. a. Compute the market value of the bonds. b. What will the net price be if flotation costs are 11 percent of the market price? c. How many bonds will the firm have to receive the needed funds? d. What is the firms after-tax cost of debt if its marginal tax rate is 35 percent?
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Answer:

Given:
Par value $1000
Coupon rate 14%
Coupon Interest   $140   i.e1000×14÷100
Required rate (YTM) 13%
Maturity 10 years
a)Bond Market value = Present value of the coupons + Present value of the face amount
= $140×6.417+$1000×0.422
= $898.48+$422.40
= $1320.88
b.What will the net price be if flotation costs are 11 percent of the market price?
Net Price = Market Value of bond X (1-flotation costs)
Net Price = $1,320.52 x (1 - 0.11) = $1,175.26
c.How many bonds will the firm have to issue to receive the needed funds?
Number of Bonds to be issue =Required fund /Net Price
               $600,000 / $1,175.26 = 510.525 Bonds
d.What is the firm’s after-tax cost of debt if its marginal tax rate is 35 percent?
Cost of debt:
                        10      $140            $1,000
$1,175.26   =   Σ    ---------- +     -----------
                      t=1     (1+kd)t         (1+kd)10
                        kd    = 11.02%
                               =       11.02%(1 - 0.35) = 7.16%
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