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Consider a corporation who recently filed Chapter 11 bankruptcy (reorganization). Under the reorganization, the company has been allowed to reorganize their debt structure with a consolidated new deferral bond issue with more favorable terms. The new issue will be a 40- year, 12% coupon rate bond with semiannual coupons. However, under the bond indenture, the company is relieved of making interest payments (deferred interest) for the first 10 years. For the remaining 30 years, the regular interest payments would resume. The reorganization calls for the deferred interest to be paid in 3 equal installments: one payment occurring at the end of year 20, one at the end of year 25, and one at maturity.
Calculate the value of a new $1,000 par value bond assuming a yield to maturity of 7%.
How do you calculate the answer using a financial calculator?
Price of the bond = ΣDiscounted cashflow = $1,014.18
Period refers to 6months
Period | Type | Cashflow | PVF @ 3.5% | Discounted cashflow (Cashflow*[email protected]%) |
21.0 | Coupon | 60 | 0.4856 | 29.14 |
22.0 | Coupon | 60 | 0.4692 | 28.15 |
23.0 | Coupon | 60 | 0.4533 | 27.20 |
24.0 | Coupon | 60 | 0.4380 | 26.28 |
25.0 | Coupon | 60 | 0.4231 | 25.39 |
26.0 | Coupon | 60 | 0.4088 | 24.53 |
27.0 | Coupon | 60 | 0.3950 | 23.70 |
28.0 | Coupon | 60 | 0.3817 | 22.90 |
29.0 | Coupon | 60 | 0.3687 | 22.12 |
30.0 | Coupon | 60 | 0.3563 | 21.38 |
31.0 | Coupon | 60 | 0.3442 | 20.65 |
32.0 | Coupon | 60 | 0.3326 | 19.96 |
33.0 | Coupon | 60 | 0.3213 | 19.28 |
34.0 | Coupon | 60 | 0.3105 | 18.63 |
35.0 | Coupon | 60 | 0.3000 | 18.00 |
36.0 | Coupon | 60 | 0.2898 | 17.39 |
37.0 | Coupon | 60 | 0.2800 | 16.80 |
38.0 | Coupon | 60 | 0.2706 | 16.24 |
39.0 | Coupon | 60 | 0.2614 | 15.68 |
40.0 | Coupon | 60 | 0.2526 | 15.16 |
40.0 | One third of first 10 years coupon | 400 | 0.2526 | 101.04 |
41.0 | Coupon | 60 | 0.2440 | 14.64 |
42.0 | Coupon | 60 | 0.2358 | 14.15 |
43.0 | Coupon | 60 | 0.2278 | 13.67 |
44.0 | Coupon | 60 | 0.2201 | 13.21 |
45.0 | Coupon | 60 | 0.2127 | 12.76 |
46.0 | Coupon | 60 | 0.2055 | 12.33 |
47.0 | Coupon | 60 | 0.1985 | 11.91 |
48.0 | Coupon | 60 | 0.1918 | 11.51 |
49.0 | Coupon | 60 | 0.1853 | 11.12 |
50.0 | Coupon | 60 | 0.1791 | 10.75 |
50.0 | One third of first 10 years coupon | 400 | 0.1791 | 71.64 |
51.0 | Coupon | 60 | 0.1730 | 10.38 |
52.0 | Coupon | 60 | 0.1671 | 10.03 |
53.0 | Coupon | 60 | 0.1615 | 9.69 |
54.0 | Coupon | 60 | 0.1560 | 9.36 |
55.0 | Coupon | 60 | 0.1508 | 9.05 |
56.0 | Coupon | 60 | 0.1457 | 8.74 |
57.0 | Coupon | 60 | 0.1407 | 8.44 |
58.0 | Coupon | 60 | 0.1360 | 8.16 |
59.0 | Coupon | 60 | 0.1314 | 7.88 |
60.0 | Coupon | 60 | 0.1269 | 7.61 |
61.0 | Coupon | 60 | 0.1226 | 7.36 |
62.0 | Coupon | 60 | 0.1185 | 7.11 |
63.0 | Coupon | 60 | 0.1145 | 6.87 |
64.0 | Coupon | 60 | 0.1106 | 6.64 |
65.0 | Coupon | 60 | 0.1069 | 6.41 |
66.0 | Coupon | 60 | 0.1033 | 6.20 |
67.0 | Coupon | 60 | 0.0998 |
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