Answer:
824.28
Explanation:
Market price of a bond is the total sum of discounted coupon cashflow and par value at maturity. This is a 4-year bond with semi-annual payment so there will be 8 coupon payment in total. Let formulate the bond price as below:
Bond price = [(Coupon rate/2) x Par]/(1 + Required return/2) + [(Coupon rate/2) x Par]/(1 + Required return/2)^2 + ... + [(Coupon rate/2) x Par + Par]/(1 + Required return/2)^8
Putting all the number together, we have
Bond price = [(4.5%) x 1000]/(1 + 7.5%) + [(4.5%) x 1000]/(1 + 7.5%)^2 + ... + [(4.5%) x 1000 + 1000]/(1 + 7.5%)^8
= 824.28
The future value is always more than the present value because the value of the dollar can be higher in the next day. plus it can be adding the interest in the future value.
Answer:
D. For a higher interest rate, an annuity has a smaller future value
Explanation:
If the interest rate increases, then the capitalization factor on the annuity increases making the annuity future valeu increase:

on the capitalziation factor we got rate in both part of the division:

on the top part is being added a unit and power to t
while in the other it doesn't change.
While it is true that a higher dividend makes the quotient decrease, the increases in the top part exceeds by far the increase in the bottom part, making increase the quotient.
Answer:
Revenue variance $1800<u> </u>Favorable
Explanation:
<em>Revenue variance is the difference between the actual revenue and the standard revenue from the actual units sold. It is can be determined as follows:</em>
Revenue variance
$
Revenue from 32 units (32× 3,800) 121,600
Actual revenue <u>123,400</u>
Revenue variance <u> 1800 </u>Favorable
Revenue variance $1800<u> </u>Favorable
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