Bill Mitselfik has purchased a bond that was issued by Acme Chemical. This bond has a face value of $1,000 and pays a dividend o
f 8% per year, compounded semi-annually. Bill bought the bond three years ago at face value and there are seven years remaining until the bond matures. Bill wishes to sell it now for a price that will result in Bill earning an annual yield of 10% compounded semi-annually. What price does Bill need to sell the bond for to earn his desired return
1 answer:
Answer:
$1,068.02
Explanation:
For computing the selling price of the bond we need to use the Future value formula or function i.e to be shown in the attachment below:
Given that,
Present value = $1,000
Rate of interest = 10% ÷ 2 = 5%
NPER = 3 years × 2 = 6 years
PMT = $1,000 × 8% ÷ 2 = $40
The formula is shown below:
= FV(Rate;NPER;PMT;-PV;type)
The present value comes in negative
So, after applying the above formula, the selling price of the bond is $1,068.02
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Answer:
Balance on balance on July 1 is $31490.67
Explanation:
given data
deposited P = $27,000
time = April 2 to May 12 = 40 days
rate = 4 % = 0.04
solution
we get here first compound amount that is express as
amount = P × ...................1
put her value
amount = 27000 ×
amount = $27118.60
and
now we add here $4,200 in $27118.60 that will be
new principal P = $31318.60
and time t = 12 may to July 1 = 50 days
we get here amount that is put value in equation 1 we get
amount = $31318.60 ×
solve it we get
amount = $31490.67
so that balance on balance on July 1 is $31490.67