What is the relationship between the value of an annuity and the level of interest rates? Suppose

Question:

What is the relationship between the value of an annuity and the level of interest rates? Suppose you just bought a 10-year annuity of $10,000 per year at the current interest rate of 10 percent per year. What happens to the value of your investment if interest rates suddenly drop to 5 percent? What if interest rates suddenly rise to 15 percent?

Annuity
An annuity is a series of equal payment made at equal intervals during a period of time. In other words annuity is a contract between insurer and insurance company in which insurer make a lump-sum payment or a series of payment and, in return,...