(a) 1What is the rationale to invest in a. TIPS? How has it changed in 2022'? (b) How much have investors apparently been willing to pay for this privilege recently? You might want to consult recent US Treasury auction results carefully documenting your information source and data. (c) Given the rapidly changing economic outlook: TIPS all of a sudden look attractive for several reasons. In addition to the investment rationale identified earlier, can you identify another benefit from holding TIPS for investors? How would you exploit this interesting attribute of TIPS? (d) Decornpose the price of a TIPS into its constituent parts. How does it relate to standard US Treasury security of the same maturity? (e) Based on your decomposition of a TIPS: what would be clear violation of the noarbitrage condition? How would you take advantage of such a situation