1- You are interested in a new Ford Taurus. After visiting your Ford dealer, doing your research on the best leases available, you have three options. (i) Purchase the car for cash and receive a $1,900 cash rebate from Dealer A. The price of the car is $19,000. (ii) Lease the car from Dealer B. Under this option, you pay the dealer $550 now and $225 a month for each of the next 36 months (the first $225 payment occurs 1 month from today). After 36 months, you may buy the car for $10,900. (iii) Purchase the car from Dealer C who will lend you the entire purchase price of the car for a zero interest 36-month loan with monthly payments. The car price is $19,000. Suppose the market interest rate is 4%. What is the net cost today of the cheapest option?
2- Hard Spun Industries (HSI) has a project that it expects will produce a cash flow of $1.8 million in 13 years. To finance the project, the company needs to borrow $1.0 million today. The project will also produce intermediate cash flows of $100,000 per year that HSI can use to service coupon payments of $50,000 every six months. Based on the risk of this investment, market participants will require a 11.0% yield. If HSI wishes a maturity of 13 years (matching the arrival of the lump sum cash flow), what does the face value of the bond have to be? Recall that the compounding interval is 6 months and the YTM, like all interest rates, is reported on an annualized basis.