Vulcan, Inc., has 7 percent coupon bonds on the market that have 13 years left to maturity. The bonds make annual payments and have a par value of $1,000. If the YTM on these bonds is 8.4 percent, what is the current bond price? (Do not round intermediate calculations and round your answer to 2 decimal places, e. g., 32.16.)

Current bond price  is $891.74

Explanation:

Coupon rate: 7%

Tenor (Nper): 13 years

Par value: $1,000

YTM (discounting rate): 8.4%

Coupon received annually (PMT) = $1,000 * 7% = $70

Current bond price  = present value of coupon received annually + present value of bond

To calculate PV of coupon received, we use excel in formula PV(discounting rate ,Nper,- PMT) = PV(8.4%,13,-70) = $541.30

or calculate manually = 70/(1+8.4%)^13+70/(1+8.4%)^12+…..+70/(1+8.4%)^1 =  $541.30

present value of bond = 1000/(1+8.4%)^13 = $350.44

Current bond price   = $541.30 + $350.44 = $891.74

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