Consider the following index-linked note. The note has a 3-year term, and its return is based on the percentage decline, if any, in the S&P 500 index over its life. Specifically, the payoffs are as follows: If after 3 years, the S&P 500 index ends up below the current level (assumed to be 2,000), then the rate of return on this note will be equal to three times the negative of the percentage change in the index. For example, suppose the index drops by 10% over the 3-year term (i.e., the index's return is -10%). The rate of return on this note will be +30%. If after 3 years, the S&P 500 index ends up at the current level or higher, the rate of return on this note will be zero, and the investors will get their principal (i.e., $100 per unit) back. . Please explain how you can replicate the payoffs of this note using existing securities such as the index, bonds, and derivatives