Unit 3 - Review Questions

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York University *

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3530

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Finance

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Feb 20, 2024

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ADMS 3530 – Unit 3: Review Questions 1. How much can be accumulated for retirement if $2,000 is deposited annually beginning today, and the account earns 9% interest compounded annually for 40 years? A) $87,200.00 B) $675.764.89 C) $736,583.73 D) $802,876.27 E) $890,257.35 2. An investment of 1,000,000$ is expected to generate perpetual cash flows that will start at 60,000$ at the end of year 1; and grow at a constant rate forever. What is the growth rate if you expect to earn an annual rate of return of 8%? A) 0% B) 1% C) 2% D) 6% E) 8% 3. You’ve won a contest where the stated prize money is $5million. However, you will receive your winnings as annual payments of $250,000 over 20 years with the 1st. payment beginning today. If the rate of interest is 7% how much should you be willing to accept as a lump sum payment today? A) $2,212,652 B) $2,648,504 C) $2,833,899 D) $2,950,567 E) $2,995,359 4. You are given the three following options when it comes to borrowing money I – pay 6% APR with interest compounded weekly. II – pay 6.25% APR with quarterly compounding. III – pay 6.5% APR compounded annually. All else being the same, which option would you choose? A) Option I B) Option II C) Option III 1
ADMS 3530 – D) The depositor would be indifferent between the 3 options E) The time period must be known in order to select the preferred option 5. You borrow $8,000 to buy a used car and agrees to make weekly payments of $75 for 3 years, beginning one week from today. What is the EAR of this loan? A) 21.73% B) 23.55% C) 27.43% D) 30.97% E) 34.65% 6. Alice wants to save for her retirement by starting a monthly a savings plan. She expects to make monthly deposits, starting a month from today, for 30 years. One year after making her final deposit, she will withdraw $80,000 annually for 25 years. How much should she deposit monthly to achieve her retirement objective? We assume that her account will earn 9% compounded monthly. A) $289.85 B) $349.67 C) $416.32 D) $434.98 E) $459.83 7. You purchase a condo that requires a $300,000 mortgage amortized over 25 years. You secure a rate of 4.95% compounded semi-annually and agree to make monthly mortgage payments, starting one month from today. What is your monthly payment? A) $1,736.27 B) $12,647.34 C) $1,745.04 D) $1,952.45 E) $1,857.25 8. You acquire a $450,000 cottage with a 10% down payment and finance the rest with a 30-year mortgage at 5.20% (APR compounded semi-annually). What will the remaining principal be on the mortgage after 5 years if you’re making monthly payments? A) $272,400 B) $310,450 C) $372,662 2
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