You will be paying $9,000 a year in tuition expenses at the end of the next 3 years. Bonds currently yield 16%.

a What is the present value of your obligation ? ( input example: $25,000)

b What is the duration of your obligation ?

c Suppose you wish to fund your obligation using 1-year zero-coupon bonds and perpetuity bonds. How much of 1-year zero (input example: $25,000) and how much of perpetuity bonds (in market value, input example: $25,000 ) will you want to hold to both fully fund and immunize your obligation?

d. Suppose you buy 1-year zero-coupon bonds and perpetuity bonds to immunize your obligation. Now suppose that rates immediately increase to 17%. What is your tuition obligation now?

BONUS POINTS What is the value of your position in perpetuities now? What is the value of your position in 1-year-zero-coupon bonds now?