Wesimann Co. issued 12-year bonds a year ago at a coupon rate of 7.2 percent. The bonds make semiannual payments and have a par value of $1,000. If the YTM on these bonds is 5.5 percent, what is the current bond price? (Do not round intermediate calculations and round your answer to 2 decimal places, e. g., 32.16.)

$1,138.92

Explanation:

Current bond price can be calculated present value (PV) of cash flows formula below:

Current price or PV of bond = C{[1 - (1 + i)^-n] ÷ i} + {M × (1 + i)^-n} (1)

Where:

Face value = $1,000

r = coupon rate = 7.2% annually = (7.2% ÷ 2) semiannually = 3.6% semiannually

C = Amount of semiannual interest payment = Face value × r

C = $1,000 × 3.6% = $36

n = number of payment periods remaining = (12 - 1) × 2 = 22

i = YTM = 5.5% annually = (5.5% ÷ 2) semiannually = 2.75% semiannually  = 0.0275 semiannually

M = value at maturity = face value = $1,000

Substituting the values into equation (1), we have:

PV of bond = 36{[1 - (1 + 0.0275)^-22] ÷ 0.0275} + {1,000 × (1 + 0.0275)^-22}

PV of bond = $1,138.92.

Therefore, the current bond price is $1,138.92.

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entering the africa from the north. however, the dutch ware still able to move

toward the interior with having south africa as one of the routes leading to

the east for trading with asia.

the answer is true

for e2020 ; -;