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Finance Final Study Guide 1. You expected to receive $10,000 at graduation in two years. You plan on investing it at 6% compounded semiannually until you have $22,000. How many years do you have to wait from today? 2. You need to have $84,000 in 20 years. If you can earn 0.15% per week, how much must you deposit today? 3. You need to have $84,000 in 20 years. If you can earn 0.15% per week, how much must you deposit next year? 4. You purchased a house for $160,000, exactly 15 years ago. Today it is worth $472,000. What rate per week did you earn? 5. Starting next week, you will make deposits of $200 every week into a savings account which earns 0.15% per week. You currently have $11,400 in that account. How much do you have in your account in 5 years? 6. A loan shark offers you a loan of $492 today but you must pay back $530 in a month. What is the effective annual rate they are charging? 7. You will make annual deposits of $5,000 into a retirement account that pays 12% compounded weekly. How much will you have in your account in 30 years? 8. You will receive an annual annuity, from year 3 to year 13, of $4,500. The discount rate is 12% compounded monthly. Calculate the value of this annuity in year 20. 9. You are planning your retirement in 10 years. You currently have nothing in Account A and $25,000 in Account B. You plan to add $15,000 per year for the next 10 years into Account A. Account A earns 12% compounded monthly and Account B earns 10% compounded annually. How much do you have when you retire? 10. You will retire in 20 years and plan to have $5 million in your account at that time. You plan to withdraw an equal amount each year in the following 20 years after retirement and have nothing left. The account earns 6% compounded monthly. How much can you withdraw each year? 11. You will make semiannual payments of $5,000 into an account that pays 5% compounded semiannually. How many years will it take for your account balance to reach $400,000? 12. You want to pay off a $50,000 loan in equal annual payments in the next 3 years. If the rate is 8% compounded annually, how much is each payment? 13.Your firm issued 15-year bonds one year ago at a coupon rate of 7%. The YTM is 7.5%. Calculate the current bond price if: a. The bonds make annual payments. b. The bonds make semiannual payments. 14. A business will make take out a $500,000 loan at 9%/year. The loan calls for equal annual payments over 10 years. Calculate the interest paid on the loan in the 3rd year. 15. Calculate the present value of a perpetuity if $500 payments are made every year, with the first payment starting in year 5. Rate is 12% compounded daily 16. Starting in 5 years, a stock will make $5/share dividend payments every year, forever. R=11%. Calculate the stock price. 17. Starting in 5 years, a stock will make a $5/share dividend payment. They will grow their dividend payments by 5% every year, forever. R=11%. Calculate the stock price 18. A firm recently paid a dividend of $7/share. Over the next 15 years, they will maintain their dividend at $7/share. Then afterwards, they will change their dividends to grow at a constant 6%/year every year, forever. R=16%. a. How much dividend is paid in year 31? b. What is the stock price? 19. A stock will pay the following dividends: $5 in year 1, $6 in year 2, $7 in year 3. After year 3, they will maintain a zero growth dividend policy. R=20%. Find the stock price. 20. A firm has a zero growth dividend policy and recently paid $2/share. Next year, they will pay an abnormally large dividend payment of $10/share. Afterwards, they will continue to pay their constant dividend payments of $2/share. R=11%. Find the stock price 21. Your firm is considering a project. It cost $70,000 to survey land development for feasibility purposes. If it is feasible the project's cost is $150,000 and the expected cash flows are the following: $40,000 in the 1st year, $80,000 in the 2nd year, $0 in the 3rd year, and $40,000 in the 4th year. There is also a $15,000 salvage value in year 4. Required return is 18%. 1. Calculate the discounted payback period. 2. Calculate the net present value. 3. Calculate the internal rate of return. 22. An investment had returns of 8.4%, -22%, -14%, and 17.2% in four of the last five years. If the average return over this period was -4.5%, what is the standard deviation of the returns? Hint: Calculate the return for the missing year. 23. You have a portfolio which is 25% invested in A, 35% invested in B, and 40% invested in C. State Prob. Stock A Stock B Stock C Good .25 25% 13% 44% Bad .75 -8% -1.5% -13.5% 1. What is the standard deviation of stock C? 2. What is your portfolio expected return? 3. What is your portfolio variance? 24. You have $60,000 to invest into Stock G and Stock H. Stock G has an expected return of 15% and Stock H has an expected return of 6.7%. If you want to make a portfolio with an expected return of exactly 10%, how much must you invest in each stock