The $20,000 bond has annual coupons and is redeemable at the end of 14 years for $22,600. it has a base amount equal to $18710 when purchased to yield 4%. $16,718.87 its base amount if it were to be purchased to yield 5%.
Let us first find out the coupon amount using the bond price formula:
Bond Price is given as:
Bond Price = C * 1-(1/(1+i)/i + M/(1+i)^n
Here,
Bond Price = $18,710
M = Maturity amount = $22,600.00
n = Number of years = 14
C = Coupon
i = Yield = 4% = 0.04
So,
18,710 = C * 1 - (1/( 1+0.06)^14)/0.06 + 22600/(1+0.04)^14.
Bond Price = $16,718.87.
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