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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
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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