Bob is evaluating a bond issue to determine the right price for the bond. In his evaluation, he gathers the following informatio
n:
N = 8 years INT = .025 or 2.5% PMT = $25 FV = $1,000 (par value)
What is the above bond issue worth in today's dollars?
a. $1,000
b. $1,181.63
c. $1,200.50
d. None of the above
N = 8 years INT = .025 or 2.5% PMT = $25 FV = $1,000 (par value)
What is the above bond issue worth in today's dollars?
a. $1,000
b. $1,181.63
c. $1,200.50
d. None of the above
1 answer:
Answer:
The price of the bond is $1000. Thus, option a is the correct answer.
Explanation:
The price of a bond is calculated using the present value of the interest payments made by the bond, which is in the form of an annuity, plus the present value of the face value of the bond. The present value is calculated by discounting the annuity of interest and the face value by the YTM or yield to maturity. In case YTM is not provided, we assume that it is same as or equal to the coupon rate paid by the bond.
The formula for the price of the bond is attached.
Bond Price = 25 * [(1 - (1+0.025)^-8) / 0.025] + 1000 / (1+0.025)^8
Bond Price = $1000
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221,400 x 1 = 221,400 overhead in COGS
459,200 x 1 = 459,200 overhead in Finished Goods
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Total applied 820,000
Actual 805,900
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Now we weight each concept and determiante the portion underapplocated in each concept
Answer:
At Yield to maturity = 11%
Price = $1,000
Explanation:
As for the provided information we have:
Par value = $1,000
Interest each year = $1,000 11% = $110
Effective interest rate semiannually = 11%/2 = 5.5% = 0.055
Since it is paid semiannually, interest for each single payment = $110 0.5 = $55 for each payment.
Time = 8 years, again for this since payments are semi annual, effective duration = 16
Price of the bond =
Here, C = Coupon payment = $55
i = 0.055
n = Time period = 16
M = Maturity value = Par value = $1,000
Therefore, if yield to maturity = 11% then,
P =
= $1,000