Akers Company sold bonds on July 1, 20X1, with a face value of $100,000. These bonds are due in 10 years. The stated annual inte
1 answer:
Answer:
$76,620.83
Explanation:
According to the scenario, computation of the given data are as follows
Future Value (FV) = $100,000
Rate of interest = 10% yearly
Rate of interest (Rate) = 10%÷ 2 = 5% semiannually
Number of period (Nper) = 9 × 2 = 18
Face value = $100,000
Payment (pmt) = $100,000 × (6%÷2) = $3,000
By putting the value in excel present value formula, we get,
PV = $76,620.83
Attachment is attached below
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Answer:
As a result of a fall in interest and YTM, the bond price will increase by $15.04
Explanation:
To calculate the change in price due to fall in interest rate, we must first calculate the price of the bond before and after the fall of interest rates.
To calculate the price of the bond, we need to first calculate the coupon payment per period. We assume that the interest rate provided is stated in annual terms. As the bond is a semi annual bond, the coupon payment, number of periods and semi annual YTM will be,
Coupon Payment (C) = 1000 * 0.062 * 0.5 = $31
Total periods (n)= 2 * 2 = 4
r or YTM = 6% * 1/2 = 3% or 0.03
The formula to calculate the price of the bonds today is attached.
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<u>Before Interest rates Fell</u>
Bond Price = 31 * [( 1 - (1+0.03)^-4) / 0.03] + 1000 / (1+0.03)^4
Bond Price = $1003.717098 rounded off to $1003.72
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<u>After Interest Rates Fell</u>
New YTM = 6% - 0.8% = 5.2% or 0.052
Semi Annual YTM = 0.052 * 0.5 = 0.026
Bond Price = 31 * [( 1 - (1+0.026)^-4) / 0.026] + 1000 / (1+0.026)^4
Bond Price = $1018.764647 rounded off to $1018.76
Change in Bond Price = 1018.76 - 1003.72 = $15.04
As a result of a fall in interest and YTM, the bond price increased by $15.04
