Polychromasia Company sold inventory costing $30,000 to its subsidiary, Simply Colorful, for double its cost in 2009. Polychroma
1 answer:
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Answer:
Future value will be larger with smaller compounding period; $373.4 more would be earned with shorter compounding period.
Explanation:
Given:
Amount to be invested = 29,000÷2 = $14,500
Duration if amount invested = 25 years
Rate = 4% or 0.04 compounded annually
Value of investment at the end of 25 years =
= $38,654.63
Future value if compounded annually is $38,654.63
Future value if semi-compounded annually:
Duration = 25×2 = 50 periods
Rate = 0.04÷2 = 0.02
Value of investment at the end of =
= $39,028.03
Future value if semi-compounded annually is $39,028.03
As such, future value is larger if compounding period was 6 months.
They would have earned $373.40 more that is (39,028.03 - 38,654.63), with shorter period.
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
