Crossfade Corp. has a bond with a par value of $2,000 that sells for $1,950.22. The bond has a coupon rate of 6.87 percent and matures in 25 years. If the bond makes semiannual coupon payments, what is the YTM of the bond?
Answer:
Given data:
Calculation of bond yield to maturity:
Particulars | Amount | Amount |
Par value(A) | $ 2,000 | |
Coupon rate (B) | 6.87% | |
Number of compounding periods per year(semi annually)(C) | 2 | |
Interest per period( pmt ) |
= A*B/C =$2,000 *6.87% /2 = $ 137.4 /2 = $ 68.7 |
$ 68.7 |
Bond price | $1950.22 | |
Number of years to maturity | 25 | |
Number of compounding periods till maturity(NPER) | 50 | |
Bond yield to maturity |
RATE(NPER,PMT,-PV,FV)*2 0.070838*100 [ FROM EXCEL ] 7.0838 |
7.0838% |
Therefore ,the bond yield to maturity is 7.0838%
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