1. Do the following present value problems. You must set up all present value problems before

calculation. You must show your work.

1. Suppose we have a four year fixed-payment loan with $900 payments made at the end of each year. Given a market interest rate of 7 percent, how much was initially borrowed?

b. Suppose you were considering purchasing a $6300 machine today that would generate additional net profit of $2500 booked at the end of each year. Assuming you need a 10 percent annual return to justify the investment, would the investment be worth doing if you had only three years of payouts? Would your answer change if you only needed a 9 percent annual return on your investment ? Why or why not? You must use present value to demonstrate your answer, and show your work.

c. Consider two zero coupon bonds in which you receive $100 at the maturity date, one maturing in 3 years and one maturing in 5 years. Both are currently priced to yield 6 percent. Calculate the current market value of each bond. Now suppose the yield to maturity rises to 9 percent. Calculate the percent change in the price of each bond as the yield went from 6 to 9.