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Question 1. Draw the equivalent cash fl

Question 1. Draw the equivalent cash fl

Question
1. Draw the equivalent cash flow diagram and find the present value for the
following cases: a) (2 points) $10,000 two years from now with an annual interest rate of 8%.
b) (4 points) A series of 6 monthly payments starting at $100 at the end of the first
month increasing by $25 every month with an annual interest rate of 6% compounded
monthly.
c) (4 points) A series of 8 monthly payments starting at $200 at the end of the first
month and increasing by 3% every month with an annual interest rate of 4%
compounded monthly.

2. (10 Points) You will receive $1,000 every quarter for the next 4 years that you will
deposit into your bank. Your bank has guaranteed you an annual return of 2%
compounded semi-annually for the first 2 years and 3% compounded monthly for
the next 2 years. How much will be accumulated after 4 years?

3. (10 points) Nissan is offering a Rogue for $18,588. This can be financed with a
down payment of $2,008.80 and $249 per month for 72 months. What are the
monthly, nominal, and annual effective interest rates for this purchase?

4. (10 Points) You are looking to buy a house for $250,000. You are offered an
annual interest rate of 4.2% compounded monthly for 30 years. What are your
monthly payments?

5. (10 points) An engineering company has determined that $100,000 per year will
be needed to maintain a new bridge. How much money is needed in a fund today to
maintain the bridge indefinitely if the annual interest rate is 4.5%?

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