3.. a. Suppose that I receive a payment of $80,000 in three years. If interest rates are 2%, then what is the present value today of the future payment? b. A simple discount bond pays $300,000 in one year. Find the yield to maturity when the price of the bond is i. $280,000 ii. $290,000 iii. $300,000 What happens to the yield to maturity as the price of the bond increases? c. How much would investors be willing to pay for a perpetuity that that pays $10,000 per year if interest rates are 4%