Question

In: Finance

Cali Inc. wants to issue new 10-year bonds to fund its new investments. The company currently...

Cali Inc. wants to issue new 10-year bonds to fund its new investments. The company currently has 5 percent coupon bonds on the market that sell for $1,060. These bonds make semi-annual payments, and mature in 10 years. What coupon rate should the company set on its new bonds if it wants them to sell at par?What is the yield to maturityon the bonds?

Solutions

Expert Solution

Answer:
Calculation of cost of Debt
Formula =
Cost of debt = Lower rate +     Price at lower rate - Current price x (Higher rate - Lower rate)
    Price at lower rate - Price at higher rate
Price= Present value of all future Cash inflows
Current price 1060.00
Present value at lower rate   = 4% Present value at higher rate   = 5%
Year Cash Inflows Present value factor @ 2% Present value of cash inflows Year Cash Inflows Present value factor @ 2.5% Present value of cash inflows
1 25.00 0.98039 24.51 1 25.00 0.9756 24.39
2 25.00 0.96117 24.03 2 25.00 0.9518 23.80
3 25.00 0.94232 23.56 3 25.00 0.9286 23.21
4 25.00 0.92385 23.10 4 25.00 0.9060 22.65
5 25.00 0.90573 22.64 5 25.00 0.8839 22.10
6 25.00 0.88797 22.20 6 25.00 0.8623 21.56
7 25.00 0.87056 21.76 7 25.00 0.8413 21.03
8 25.00 0.85349 21.34 8 25.00 0.8207 20.52
9 25.00 0.83676 20.92 9 25.00 0.8007 20.02
10 25.00 0.82035 20.51 10 25.00 0.7812 19.53
11 25.00 0.80426 20.11 11 25.00 0.7621 19.05
12 25.00 0.78849 19.71 12 25.00 0.7436 18.59
13 25.00 0.77303 19.33 13 25.00 0.7254 18.14
14 25.00 0.75788 18.95 14 25.00 0.7077 17.69
15 25.00 0.74301 18.58 15 25.00 0.6905 17.26
16 25.00 0.72845 18.21 16 25.00 0.6736 16.84
17 25.00 0.71416 17.85 17 25.00 0.6572 16.43
18 25.00 0.70016 17.50 18 25.00 0.6412 16.03
19 25.00 0.68643 17.16 19 25.00 0.6255 15.64
20 1025.00 0.67297 689.80 20 1025.00 0.6103 625.53
Total 1081.76 Total 1000.00
Price at higher rate 1081.76 Price at higher rate 1000.00
Cost of Debt (semi annual) 2% + 21.7572 x (2.5-2)%
81.7572

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