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Connect × \\ M MLK Holiday-jwilson14 × \\ L Recent-Google Drive × \\ Untitled docurment-Go x \\ e Search Textbook Solutio , C0 https://newconnect.mheducation.com/flow/connect.html Apps D PowerTeacherMisc D AP GovernmentSt co D Work l Schedule Access Gmail % Mustang Public Schc D MACU Music e Final Cut Pro X102E D ASOIAF Human Geo #general 99 Talk Simple Team C D Library Chapter 5 Problems Help Save & Exit Submit Saved Check my work 4 Even though most corporate bonds in the United States make coupon payments semiannually, bonds issued elsewhere often have annual coupon payments. Suppose a German company has a bond outstanding with a par value of 1,000, 20 years to maturity, and a coupon rate of 7.4 percent paid annually 10 points If the yield to maturity is 8.5 percent, what is the current price of the bond? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) Current price eBook Print References Mc Graw Hill Prev 4 of 6 Next> Education
Solution
price of bond = C/(1+r)1 + C/(1+r)2 +..............+C/(1+r)N + M/(1+r)N
C= INTEREST /CASH FLOW
M =MATURITY / FACE VALUE I.E 1000
N = NO. OF YEARS TO MATURITY I.E 20
DISC FACTOR = 1/(1+r)T
T=1,2,3........N
r = YTM RATE
CASH FLOW = INTEREST = INT RATE * PAR VALUE = 7.4% * 1000 = 74
PRICE OF SHARE = 895.90
| t | cash floW | DISC factor = 1/(1+r)^t | CF * DISC FACT |
| 1 | 74 | 0.921658986 | 68.20276498 |
| 2 | 74 | 0.849455287 | 62.85969122 |
| 3 | 74 | 0.782908098 | 57.93519928 |
| 4 | 74 | 0.721574284 | 53.39649704 |
| 5 | 74 | 0.665045423 | 49.21336132 |
| 6 | 74 | 0.612945091 | 45.3579367 |
| 7 | 74 | 0.564926351 | 41.80454996 |
| 8 | 74 | 0.520669448 | 38.52953913 |
| 9 | 74 | 0.479879675 | 35.51109597 |
| 10 | 74 | 0.442285415 | 32.72912071 |
| 11 | 74 | 0.407636327 | 30.16508821 |
| 12 | 74 | 0.375701684 | 27.80192462 |
| 13 | 74 | 0.346268833 | 25.62389366 |
| 14 | 74 | 0.319141782 | 23.61649185 |
| 15 | 74 | 0.294139891 | 21.76635194 |
| 16 | 74 | 0.271096674 | 20.06115386 |
| 17 | 74 | 0.249858686 | 18.48954273 |
| 18 | 74 | 0.230284503 | 17.04105321 |
| 19 | 74 | 0.212243781 | 15.70603982 |
| 20 | 74 | 0.195616388 | 14.47561274 |
| 20 | 1000 | 0.195616388 | 195.6163884 |
| PRICE OF SHARE = | 895.9032973 |
