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University of Massachusetts, Lowell *

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3310

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Finance

Date

Feb 20, 2024

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docx

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TVM Practice: 1. 2. Sly's Used Cars just sold you a clunker (you need it to get to class on time). You financed the $4,728.48 purchase price for 24 months. They said your payment would be $250. What interest rate did they charge you (assume monthly compounding). Ans: 24% 2. 1. Rasheed can afford a monthly car payment of $550 for 72 months at an annual interest rate of 7.5 percent. Which of the following is closest to the amount he will be able to borrow for a new car? Ans: 31810 3. You have saved $120,000 for your child to attend college. If it is in an account earning an annual rate of 8%, how much can you take out in equal payments at the end of each of the next four years to pay for their education? Ans: $36,230.50 4. You currently have $11,167 in your savings account. What interest rate do you need to earn in order to have $20,000 in the account in 10 years? Ans: 6% 5. You are 20 years old. You want to retire when you are 50 with an annual income of $100,000. Find how much you have to save each year to meet this goal. Assume the interest rate is 6% and you plan to live forever. Join the club of GOD KIM. Ans: -$21,081.52 6. Lina bought a house at 700,000 with 20% down payment ($140,000) Use the following info to answer Int: 6% per year Term 30-year Monthly payment (first payment is due 30 days after signing the mortgage loan, t = 1). Find the Monthly payment for her. (Be careful with sign, No symbols with two decimals). Answer: 3,357.48.
7. Connor is Sophomore and plays for River Hawk now. He has been recruited by Celtics and offered a 3-year contract; $1 million per year for three years. His first payment begins when he graduates in 2024, which is exactly three years from now (t=3). Assume the interest rate is 4%, what is the PV of his contract now? Answer: 2,565,727.66. 8. What annual interest rate would cause $100 to grow to $119.10 in 3 years? 9. What is the present value of a 5-year $100 ordinary annuity at 4%? 10.What is the present value of $100 annuity forever (perpetuity) at 4%? 11. Find the PV of the following CF with I = 14% CF0 = 0, CF1=100 CF2=300 CF3=300 CF4=-50 (minus 50) Cash out... 12.What is the FV of $100 after 3 years under 4% semiannual compounding? 13.If you save $500 a month for the next 30 years, how much will that be if the interest rate is 5%? The fist saving begins one month from now. Answer: 416,129.32. BOND (PV will be in negative) 14. Apple Bond is currently sold for $1,200 with 10 years to the maturity. The current yield (CY) of this bond is 6%. What is the coupon rate on this bond if the par value of the bond is $1000. This is an annual coupon bond.
15.Investors usually expect the price to rise in the future for a positive capital gains. However, some bond investors still buy bond knowing that he will realize a negative capital gains (the the price of the bond will drop in the future.) This is true when the bond is sold for a premium. (Premium bond) WACC 16.D0 is $.95. Beta is 1.2. Risk Free rate is 4%. The market rate of return is 9%. The company is expected to grow at 3% rate. What is the after tax cost of equity of this firm? 17.D0 is $.95. Beta is 1.2. The current stock price is $14. The market rate of return is 9%. The company is expected to grow at 3% rate. What is the after tax cost of equity of this firm? 18.Apple has a semi-annual bond sold at 1050 with a coupon rate of 5%. Its maturity is left for 12 years. The tax rate is 35%. What is the after tax cost of debt for Apple? 19.Amazon has 20 million in Debt, 10 million preferred Stock and 100 million in Equity. YTM of the bond is 7%. Cost of Equity is 10% and cost of preferred stock is 9%. Find the WACC of Amazon. Amazon's tax rate is 35%. 20. Intial depreciatable investment is 1 million with zero salvage value (All depreciable) Depreciation per year is 50% or 500000 per year. Working Capital needed for 100000 that will be recovered at the end of the project Revenue 1000000 each year for the next two years Cost of Good sold will be 200000 per year for the next two years
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Tax rate is 30% WACC is 12% Find IRR 21. Intial depreciatable investment is 1 million with zero salvage value (All depreciable) Depreciation per year is 50% or 500000 per year. Working Capital needed for 100000 that will be recovered at the end of the project Revenue 1000000 each year for the next two years Cost of Good sold will be 200000 per year for the next two years Tax rate is 30% WACC is 12% Find NPV 22. Find IRR with following CF CF0 -1100000 CF1 605000 CF2 705000 29. Find NPV of the following CF with 12% WACC CF0 -1100000 CF1 605000 CF2 705000 28. Find Cost of Equity if D0 = 1.05 and g=6% and the current price is $77. Find the cost of equity if beta is 1.9 and F is 4% and M is 12%. Find the (after tax) cost of debt if the company’s bond is selling at 970 with (left over) maturity of 17 years with semi-annual coupon payment of 6%. Find WACC of the company if E is 20 million, PFD is 5 million and D is 30 million. Tax rate is 37% and After tax cost of equity of bond is 6%, cost of equity is 9% and cost of pfd stock is 7%. Stock More:
29. Answer the next three questions using the following information. D0 = $3.00. Price is 175. g = 7%. Find the Dividend Yield. (in percent.. two decimals,) 30. Find the total return on this stock. (k) 31. Use capital gain yield provided, find the next year’s stock price (P1) 32. Answer the next three questions using the following inforamtions. 20 year semi-annual coupone bond is sold at 950 with YTM of 6%. Find the coupon rate on this bond. 33. Find the CGY? 34. Find the CY?