Three students have each saved $\$$1,000. Each has an investment opportunity in which he or she can invest up to $\$$2,000. Here are the rates of return on the students' investment projects:
Harry $\quad$ 5 percent
Ron $\quad$ 8 percent
Hermione $\quad$ 20 percent
a. If borrowing and lending are prohibited, so each student uses only personal savings to finance his or her own investment project, how much will each student have a year later when the project pays its return?
b. Now suppose their school opens up a market for loanable funds in which students can borrow and
lend among themselves at an interest rate $r$. What would determine whether a student would choose to be a borrower or lender in this market?
c. Among these three students, what would be the quantity of loanable funds supplied and quantity
demanded at an interest rate of 7 percent? At 10 percent?
d. At what interest rate would the loanable funds market among these three students be in equilibrium? At this interest rate, which student(s) would borrow and which student(s) would lend?
e. At the equilibrium interest rate, how much does each student have a year later after the investment projects pay their return and loans have been repaid? Compare your answers to those you gave in part (a). Who benefits from the existence of the loanable funds market$-$the borrowers or the lenders? Is anyone worse off?
Three students have each saved $\$$1,000. Each has an investment opportunity in which he or she can invest up to $\$$2,000. Here are the rates of return on the students' investment projects:
Harry $\quad$ 5 percent
Ron $\quad$ 8 percent
Hermione $\quad$ 20 percent
a. If borrowing and lending are prohibited, so each student uses only personal savings to finance his or her own investment project, how much will each student have a year later when the project pays its return?
b. Now suppose their school opens up a market for loanable funds in which students can borrow and
lend among themselves at an interest rate $r$. What would determine whether a student would choose to be a borrower or lender in this market?
c. Among these three students, what would be the quantity of loanable funds supplied and quantity
demanded at an interest rate of 7 percent? At 10 percent?
d. At what interest rate would the loanable funds market among these three students be in equilibrium? At this interest rate, which student(s) would borrow and which student(s) would lend?
e. At the equilibrium interest rate, how much does each student have a year later after the investment projects pay their return and loans have been repaid? Compare your answers to those you gave in part (a). Who benefits from the existence of the loanable funds market$-$the borrowers or the lenders? Is anyone worse off?
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Three students have each saved $1,000. Each has an investment opportunity in which he or she can invest up to $2,000. Here are the rates of return on the student's investment projects:
Student | Return |
---|---|
(Percent) | |
Yakov | 4 |
Charles | 7 |
Dina | 15 |
Assume borrowing and lending are prohibited, so each student uses only personal savings to finance his or her own investment project.
Complete the following table with how much each student will have a year later when the project pays its return.
Student | Money a Year Later |
---|---|
(Dollars) | |
Yakov | _________ |
Charles | _________ |
Dina | _________ |
Now suppose their school opens up a market for loanable funds in which students can borrow and lend among themselves at an interest rate or.
If a studentâs expected rate of return is greater than r, he or she would choose to (lend, borrow).
Suppose the interest rate is 6 percent.
Among these three students, the quantity of loanable funds supplied would be $______, and quantity demanded would be $______.
Now suppose the interest rate is 12 percent.
Among these three students, the quantity of loanable funds supplied would be $______, and quantity demanded would be $______.
At an interest rate of ______%, the loanable funds market among these three students would be in equilibrium. At this interest rate, (Charles, Yakov, Yakov and Charles, Charles and Dina, Dina) would want to borrow, and (Charles, Yakov, Yakov and Charles, Charles and Dina, Dina) want to lend.
Suppose the interest rate is at the equilibrium rate.
Complete the following table with how much each student will have a year later after the investment projects pay their return and loans have been repaid.
Student | Money a Year Later |
---|---|
(Dollars) | |
Yakov | _________ |
Charles | _________ |
Dina | _________ |
True or False: Only borrowers are made better off, and lenders are made worse off.