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(8) You put $60,000 into an account that pays 4%. Ten years from today (end of 10 years), you plan to make equal annual withdrawals
(8) You put $60,000 into an account that pays 4%. Ten years from today (end of 10 years), you plan to make equal annual withdrawals for 8 years until the account is empty. How much do you withdraw?
- (10) You bought a car for $54,000. The downpayment was $4,000. You have a 6-year auto loan for the remaining amount at an interest rate of 6.7% (with monthly compounding).
- What are your monthly payments? What is the effective rate on the loan?
- They just made the 15th payment. What is the outstanding balance on the loan?
Bonds
- (10) Sky Train Inc. originally issued 10-year bonds with a face value of $1000 at par. The bonds have a coupon rate of 8%, and coupons are paid semiannually. The bonds will mature in 6 years, and the yield to maturity is 6.4% with semiannual compounding.
- Find the bond's price today.
- If the yield rises, what do you expect will happen to the bond price?
- (10) Assume zero-coupon yields on default-free securities are as summarized in the following table:
What is the price of a 2-year default-free security with a face value of $1000 and an annual coupon rate of 5%?
Stocks
- (10) Owl expects to pay a dividend of $3.54 per share next year. For the following 2 years, Owl Group expects a growth rate of 20%. After year 3, Owl expects a growth rate of 4%. The required return is 9%. What is the current share price?
- (10) ANW just reported earnings per share of $2.50 and an annual dividend of $1.40. Their return on equity is 12%.
- If investors require 8%, estimate the share price.
- Would you expect the PVGO (Present Value of Growth Opportunities) to be positive or negative?Explain.
Capital Budgeting
- (8) For the project below, you have the following cash flows. The maximum payback period is 2 years and the cost of capital is 9%.
- Calculate the payback period. Do you accept the project?
- Calculate the profitability index. Do you accept the project?
- (15) Mummy Group is considering a new product line. The new line requires a machine that costs $21,000,000. It will be fully depreciated to a zero-book value on a straight-line basis over 3 years. Sales are $65M per year for years 1, 2 and 3. Operating expenses are 60% of sales. Mummy will have $4,000,000 annually in interest expenses as part of the financing of the machine. The initial investment in net working capital is $2 million and all of this is returned in year 3. The tax rate is 25% and the cost of capital is 11%.
- Find the free cash flows for the project (so you will have time 0, 1, 2, and 3).
- Find the internal rate of return.
- Find the net present value.
- Using the IRR to make the decision, should Mummy start the new line? Explain using the IRR.
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