On January 1, 2017, Ellison Co. issued eight-year bonds with a face value of $6,000,000 and a stated interest rate of 6%, payabl
1 answer:
Answer:
Bond Price = $5,300,862.264 rounded off to $5,300,862.26
Explanation:
To calculate the price of the bond today, we will use the formula for the price of the bond. Assuming the bond is an annual bond, the semi coupon payment, number of periods and semi annual YTM will be,
Coupon Payment (C) = 6,000,000 * 0.06 * 6/12 = 180 ,000
Total periods (n) = 8 * 2 = 16
r or YTM = 0.08 * 6/12 = 0.04 or 4%
The formula to calculate the price of the bonds today is attached.
Bond Price = 180000 * [( 1 - (1+0.04)^-16) / 0.04] + 6000000 / (1+0.04)^16
Bond Price = $5,300,862.264 rounded off to $5,300,862.26
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Answer:
Correct option is (C)
Explanation:
Given:
Face value of bond (FV) = $1,000
Coupon rate = 6.2% annual and 6.2 / 2 = 3.1% semi annual
Coupon payment (pmt) = 0.031 × 1,000 = $31
Maturity period (nper) = 8×2 = 16 periods
Rate = 8.3% annual or 8.3 / 2 = 4.15%
Present value of bond can be computed using spreadsheet function =PV(rate,nper,pmt,FV)
Present value of bond when yield is 8.3% is $878.99
If ytm increases to 8.6% annual or 8.6 / 2 = 4.3% semi annual, then present value of bond will be $863.22 (using spreadsheet function again)
It can be seen that as ytm increased from 8.3% to 8.6%, price of bond fell by $15.77 approximately (878.99 - 863.22)
