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Posted: January 4th, 2023
Suppose that you will receive $10,000 five years from now. What is it worth today
1.)
Suppose that you will receive
$10,000 five years from now. What is it
worth today? What is it worth 3 years
from today? What is it worth 10 years
from today? What constant payment for
the next 20 years is equivalent to receiving $10,000 five years from now?
Assume the cost of capital is 10%.
2.)
Suppose you plan to purchase a
car. You tell the car salesperson you can
pay $200 per month.
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The salesperson offers you
the following options.
a.
A car that is worth $7,000
dollars for $200 a month for 4 years at 3% APR.
b.
A car that is worth $13,000
dollars for $200 a month for 5 years at 4% APR.
c.
A car that is worth $15,000
dollars for $200 a month for 7 years at 5% APR.
Which of these options is
the best deal?
3.)
Suppose that 2 years from now
you will deposit $100 into an account paying 10% APR. In years 4, 6, ⦠50 (every even year) you
will deposit 105, 110.25, ⦠322.51 respectively (5% growth in the deposit). In
oddyears (starting year 3) 3, 5, â¦49 you will withdraw $100 (no growth). How
much will be in your account at the end of year 50?
4.)
Suppose you are evaluating the
following investment opportunity. The
firm is expected to have cash flows of $100 starting one year from now and they
are expected to grow by 10% each of the next 4 years. Every year following year five the cash flows
will grow by 7%. Assuming the cost of
capital is 8%, what is the value of this firm today?
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