Suppose you buy a bond that will pay $10,000 principal at the end of 10 years. No coupon interest payments are made on the bond. (It is a zero coupon bond.) If the yield to maturity of similar zero coupon bonds is 6 percent per year:

A. What is the current price of the bond?

B. What will be the price of the bond if the market yield to maturity instantaneously increases to 8 percent per year?

C. What will the price be if the yield to maturity instantaneously declines to 4 percent per year?

D. Explain the relationship among the prices.