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The Pathway Company needs to raise $100 million to modernize its current facility and management has decided to raise the funds with a bond issue

Finance Nov 24, 2020

The Pathway Company needs to raise $100 million to modernize its current facility and management has decided to raise the funds with a bond issue. Potential investors currently require a 10.50 percent rate of return. The bond specifics are: (1) $1,000 face value, (2) 9.00 percent coupon rate, (3) Semi-annual coupons, (4) 10-year maturity, and (5) $55 per bond in flotation costs. Calculate the company's cost of capital for this bond issuance.

Expert Solution

               K = Nx2
Bond Price =∑ [(Semi Annual Coupon)/(1 + YTM/2)^k]     +   Par value/(1 + YTM/2)^Nx2
                   k=1
 
                  K =10x2
Bond Price =∑ [(9*1000/200)/(1 + 10.5/200)^k]     +   1000/(1 + 10.5/200)^10x2
                   k=1
 
Bond Price = 908.48
Using Calculator: press buttons "2ND"+"FV" then assign
 
 
PMT = Par value * coupon %/coupons per year=1000*9/(2*100)
I/Y =10.5/2
N =10*2
FV =1000
CPT PV
 
Using Excel
=PV(rate,nper,pmt,FV,type)
=PV(10.5/(2*100),2*10,-9*1000/(2*100),-1000,)
Cost of debt
                                         K = Nx2
Bond Price -flotation cost =∑ [(Semi Annual Coupon)/(1 + YTM/2)^k]     +   Par value/(1 + YTM/2)^Nx2
                                          k=1
                                         K =10x2
908.48-55 =∑ [(9*1000/200)/(1 + YTM/200)^k]     +   1000/(1 + YTM/200)^10x2
                                          k=1
YTM = 11.50
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