Answer:
Instructions are below.
Explanation:
Giving the following information:
Value at 18= $4,909
Interest rate= 3%
To calculate the final value, we need to use the following formula:
FV= PV*(1+i)^n
A) Number of years= 7
FV= 4,909*(1.03^7)= $6,307.45
B) Number of years= 47
FV= 4,909*(1.03^47)= $19,694.39
C) Finally, we need to determine the original investment. We need to isolate the present value from the formula:
PV= FV/(1+i)^n
PV= 4,909/(1.03^18)
PV= $2,883.52
Answer:
Value of the bond = $862.013
Explanation:
The value of the bond is the present value of the future cash receipts expected from the bond. The value is equal to present values of interest payment and the redemption value (RV).
Value of Bond = PV of interest + PV of RV
The value of the bond can be worked out as follows:
Step 1
<em>Calculate the PV of Interest payment
</em>
Present value of the interest payment
PV = Interest payment × (1- (1+r)^(-n))/r
Interest payment = $40
PV = 40 × (1 - (1.05)^(-12×2)/0.05)
= 40 × 13.7986
= 551.945
Step 2
<em>PV of redemption Value
</em>
PV of RV = RV × (1+r)^(-n)
= 1000 × (1.05)^(-12×2)
= 310.067
Step 3
<em>Calculate Value of the bond </em>
= 551.94567 + 310.067
=862.01
Value of the bond = $862.013
Answer:
$10,000
Explanation:
As provided no equity is issued, therefore,
Common stock + Net income = Stockholder's equity
We know common stock = $70,000
Further there might be some dividend paid, which shall be deducted from net income to compute total value of Stockholder's equity.
Therefore,
$70,000 + $18,000 - Dividend = $78,000
$88,000 - $78,000 = Dividend = $10,000
Therefore, dividends paid during the month = $10,000
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