8. You buy a 30-year zero coupon bond which will pay you $10,000 in 30 years at an annual yield of i=1% compounded once per year. A few minutes later the annual yield rises to i=2% compounded once per year. What is the percent change in the value of the bond? (Hint: recall the formula for percent change. The answer should be negative.) 9. You buy a 30 year zero coupon bond which will pay you $1000 in 30 years at an annual yield of i=16.5% compounded once per year. 25 years later it will be a 5 year zero coupon bond. Suppose the interest rate on this bond will be 16.5%, what will the price of this bond be in 25 years?

Asmall town wants to build some new recreational facilities. the proposed facilities include a swimming pool, recreation center, basketball court and baseball field. the town council wants to provide the facilities which will be used by the most people, but they face budget and land limitations. the town has $400,000 and 14 acres of land. the pool requires locker facilities which would be in the recreation center, so if the swimming pool is built the recreation center must also be built. also, the council has only enough flat land to build the basketball court or the baseball field. the daily usage and cost of the facilities (in $1,000) are shown below. which facilities should they build? facilityusagecost ($1,000)landswimming pool4001002recreation center5002003basketball court3001504baseball field2001005