Question 1 a. What is the significance of a demand curve and a supply curve? b. Suppose $2,000 is borrowed at a simple interest rate of 8%. Calculate (i) the principal plus interest at the end of the 6th year? (ii) what will be the future value if the interest was compounded within the stated period? C What is meant by the terms discounting and compounding? Why are these important

Microeconomics A Contemporary Intro
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Chapter13: Capital, Interest, Entrepreneurship, And Corporate Finance
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Question 2
a. Calculate the present value of $15,000 to be received 10 years from today. Assume an
interest rate of 10%, compounded annually.
b. The annual amount of a series of payments to be made at the end of each of the next
10 years is $500. What is the present worth of the payments at 7% interest
compounded annually?
c. A piece of machinery costs $20,000 and has an estimated life of 8 years and a scrap
value of $2,000. What uniform annual amount must be set aside at the end of each of
the 8 years for replacement if the interest rate is 6% compounded annually?
d. If $15,000 is put in a bank account today at an interest rate of 8%, what annual
amount of money can be withdrawn every year over the next 7 years?
e. An engineer has generated an oil production forecast for a group of wells. According
to this forecast, the wells produce 30,000 barrels in the first year. Starting the second
year, production declines by 2,000 barrels per year for 4 years. Starting the sixth year,
production declines by 3,000 barrels per year for another 4 years. Calculate the
present value of the revenues if the oil price is $15 per barrel for the first 5 years and
$16 per barrel thereafter. Also, calculate the equivalent annual value of these
revenues. Assume interest rate of 8%.
Transcribed Image Text:Question 2 a. Calculate the present value of $15,000 to be received 10 years from today. Assume an interest rate of 10%, compounded annually. b. The annual amount of a series of payments to be made at the end of each of the next 10 years is $500. What is the present worth of the payments at 7% interest compounded annually? c. A piece of machinery costs $20,000 and has an estimated life of 8 years and a scrap value of $2,000. What uniform annual amount must be set aside at the end of each of the 8 years for replacement if the interest rate is 6% compounded annually? d. If $15,000 is put in a bank account today at an interest rate of 8%, what annual amount of money can be withdrawn every year over the next 7 years? e. An engineer has generated an oil production forecast for a group of wells. According to this forecast, the wells produce 30,000 barrels in the first year. Starting the second year, production declines by 2,000 barrels per year for 4 years. Starting the sixth year, production declines by 3,000 barrels per year for another 4 years. Calculate the present value of the revenues if the oil price is $15 per barrel for the first 5 years and $16 per barrel thereafter. Also, calculate the equivalent annual value of these revenues. Assume interest rate of 8%.
Question 1
a. What is the significance of a demand curve and a supply curve?
b.
Suppose $2,000 is borrowed at a simple interest rate of 8%. Calculate (i) the principal
plus interest at the end of the 6th year? (ii) what will be the future value if the interest
was compounded within the stated period?
c. What is meant by the terms discounting and compounding? Why are these important
in investment analysis?
d. What is the difference between simple and compound interest?
e. Compare the interest earned on $1,500 over:
(i)
10 years at an interest rate of 8%, compounded yearly, and
(ii)
10 years at an interest rate of 8%, compounded quarterly.
f. Calculate the future value of the following investments.
(1)
$1,000 in 10 years at an interest rate of 8%, compounded annually.
$15,000 in 8 years at an interest rate of 8%, compounded monthly.
(ii)
Transcribed Image Text:Question 1 a. What is the significance of a demand curve and a supply curve? b. Suppose $2,000 is borrowed at a simple interest rate of 8%. Calculate (i) the principal plus interest at the end of the 6th year? (ii) what will be the future value if the interest was compounded within the stated period? c. What is meant by the terms discounting and compounding? Why are these important in investment analysis? d. What is the difference between simple and compound interest? e. Compare the interest earned on $1,500 over: (i) 10 years at an interest rate of 8%, compounded yearly, and (ii) 10 years at an interest rate of 8%, compounded quarterly. f. Calculate the future value of the following investments. (1) $1,000 in 10 years at an interest rate of 8%, compounded annually. $15,000 in 8 years at an interest rate of 8%, compounded monthly. (ii)
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