Answer:
The real estate should charge $1,300 to obtain maximum profit.
Explanation:
We can make K to represent the number of unit apartment occupied.
This means that the total rent the real estate office is getting can be denoted by;
{(550 + 25(80 - K)} K - 50K
Maximizing the above equation, we have;
y = 550K + 2,000K - 25K^2 - 50K
Collect like terms
= 2,500K - 25K^2
y' = (2,500K - 25K^2)' = 2,500 - 50K
y = 0
2,500 - 50K = 0
2,500 = 50K
K= 50
Rent is therefore;
Rent = 550 + (80 - K)25, where K is 50
= 550 + (80 - 50)25
= 550 + (30)25
= 550 + 750
= $1,300
Answer:
A) the bond's yield to maturity is equal to its coupon rate
Explanation:
If the bonds yield to maturity is equal to its coupon rate it means that the interest paid by the buyers on the face value of the bond is equal to the internal rate of return for the present value of future cash flow. Only in this scenario, a bond is traded at its face or par value.
Answer:
70.1754386
Explanation:
The calculation of the number of the futures contract to sell as follows:
Portfolio value $1,000,000
Face value $100
Units. $10,000
Maturity portfolio. 5
Modified duration. 4
Modified duration of T bonds 9
Yield on portfolio. 0.000015
Yield on T bonds. 0.00001
Future price of the bonds $95
Loss of portfolio. $60
Decline in fut T bond price $.0086
Per value contract. $86
Number of future contract to sold 70.1754386