Answer :
Shortfall of money = $74,598
Explanation :
As per the data given in the question,
Par value of bond = $7,472,582
To determine the future value of annual coupon payments received, we will use FV of annuity's formula
FV of Annuity = P [(1 + r)^n- 1 ÷ r]
where,
P = Periodic payment
r = interest rate
n = Time period
here P = 6% of $7,472,582 = $448,354.92
r = 4.50%
n = 5 years
FV of Annuity = $448,354.92 × [(1 + 4.50%)^5 - 1) ÷ 4.50%]
=$2,452,820
Shortfall at the end of 5 years is
= $10,000,000 - $7,472,582 - $2,452,820
= $74,598
Answer: A) supply increases and demand stays the same
Check out the diagram below. The curves S1 and D1 are the original supply and demand curves for some product. If we shift S1 to the right, we get some new curve S2. This is increasing supply. Keeping D1 the same means that the equilibrium price slides down and the quantity goes up.
In short, we have more stuff in the market, and each of those items is cheaper.
Answer:
The new price of the bond is $928.94
Explanation:
Initially the bond's price is equal to its par value which means the coupon rate on bond and the market interest rates are the same i.e. 6%.
Th bond's price is calculated as the sum of the present value of the annuity of interest payments by the bond and the present value of the face value of the bond that will be received at maturity. The discount rate used to calculate the present values is the market interest rate.
As the bond is a semiannual bond, we will use the semi annual coupon payment, the semi annual percentage of the annual rate of interest on market and the number of semi annual periods outstanding.
Semi annual coupon payment = 1000 * 0.06 * 6/12 = $30
Number of semiannual periods till maturity = 10 * 2 = 20 periods
New market interest rate = 6 + 1 = 7% annual
New semi annual market interest rate = 7% / 2 = 3.5%
Price of bond = 30 * [ (1 - (1+0.035)^-20) / 0.035 ] + 1000 / (1+0.035)^20
Price of bond = $928.938 rounded off to $928.94
We used the present value of annuity ordinary formula for preset value of interest payments and the normal present value of principal formula for the face value.
Answer: $76,220
Explanation:
Total Assets = Current Assets + Fixed Assets
Current Assets = Cash + Accounts Receivable
= 13,320 + 19,980
= $33,300
Fixed Assets = Equipment = $42,920
Total Assets = 33,300 + 42,920
= $76,220