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Please assist with the below and show work

10-6 [30pts] Essex Biochemical Co. has a $1,000 par value bond outstanding that pays 15 percent annual interest. The current

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Answer #1

Par Value = $1,000

Annual Coupon Rate = 15.00%
Annual Coupon = 15.00% * $1,000
Annual Coupon = $150

Annual YTM = 18.00%

Answer a.

Time to Maturity = 30 years

Current Price = $150 * PVIFA(18.00%, 30) + $1,000 * PVIF(18.00%, 30)
Current Price = $150 * (1 - (1/1.18)^30) / 0.18 + $1,000 * (1/1.18)^30
Current Price = $150 * 5.51681 + $1,000 * 0.00697
Current Price = $834.49

Answer b.

Time to Maturity = 20 years

Current Price = $150 * PVIFA(18.00%, 20) + $1,000 * PVIF(18.00%, 20)
Current Price = $150 * (1 - (1/1.18)^20) / 0.18 + $1,000 * (1/1.18)^20
Current Price = $150 * 5.35275 + $1,000 * 0.03651
Current Price = $839.42

Answer c.

Time to Maturity = 4 years

Current Price = $150 * PVIFA(18.00%, 4) + $1,000 * PVIF(18.00%, 4)
Current Price = $150 * (1 - (1/1.18)^4) / 0.18 + $1,000 * (1/1.18)^4
Current Price = $150 * 2.69006 + $1,000 * 0.51579
Current Price = $919.30

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