This kind of agreement is called EXCLUSIVE AGENCY.
Exclusive agency is a contractual agreement under which the listing broker acts as an agent and the owner agree to pay a commission to him if the property is sold through the effort of any person with the exception of the owner of the property.
The advantage of a free market economy is that when it works it can both be reward and perpetuate innovation But they are inherently more risky and does tend to favor those more capital and resources . In an Economic make system with multiple equilibria coordination failure occurs when a group of firms could achieve a more desirable equilibrium but fail to because they do not coordinate their decision making
The prize is really worth $1,006,512.21.
<h3>What is present value?</h3>
Present value is the sum of cash flows discounted at the rate of interest or the discount rate. The annual cash flows for the next 10 years = $1.5 million / 10 = 150,000
The present value can be determined using a financial calculator
Cash flow from year 1 to 10 = $150,000
Discount rate = 8%
Present value = $1,006,512.21
Here is the complete question: You win a lottery with a prize of $1.5 million. Unfortunately the prize is paid in 10 an¬nual installments. The first payment is next year. How much is the prize really worth? The discount rate is 8 percent.
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Answer:
Option (d) , Bank 4 offers the highest amount after a year
Explanation:
The total amount from each of the interest rates can be expressed as;
A=P(1+r/n)^nt
where;
A=Future value of investment
P=Initial value of investment
r=Annual interest rate
n=Number of times the interest is compounded annually
t=number of years of the investment
a). Bank 1
P=x
r=6.1%=6.1/100=0.061
n=1
t=assume number of years=1
replacing;
A=x(1+0.061/1)^(1×1)
A=x(1.061)
A=1.061 x
b). Bank 2
P=x
r=6%=6/100=0.06
n=12
t=1
Replacing;
A=x(1+0.06/12)^(12×1)
A=x(1.005)^12
A=1.0617 x
c). Bank 3
P=x
r=6%=6/100=0.06
n=1
t=1
Replacing;
A=x(1+0.06/1)^(1)
A=1.0600 x
d). Bank 4
P=x
r=6%=6/100=0.06
n=4
t=1
A=x(1+0.06/4)^(4×1)
A=x(1+0.015)^4
A=x(1.061)
A=1.0614 x
e). Bank 5
P=x
r=6%=6/100=0.06
n=365
t=1
A=x(1+0.06/365)^(365×1)
A=1.0618
Option (d) , Bank 4 offers the highest amount after a year
