The following investment is being offered on a security whose current price is s. For an initial cost of s and for the value E!- of your choice...

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The following investment is being offered on a security whose current price is s. For an initial cost of s andfor the value E!- of your choice [provided that t} c B c er — 1}, your return after one year is given by (1+ :53): if 5(1) 5 (1+ ms.return = 3(1) if (1+ .3}: 5 3(1) 5 K,X if 5(1) :a K, where 511} is the price of the security at the end of one year. In other words, at the price of capping yourmaximum return at time 1 you are guaranteed that your return at time 1 is at least 1 -t- [3 times your originalpayment. Ehow that this inyestment [which can be bought or sold} does not giye rise to an arbitrage whenX is such that C(s, l, K, o, r) = C(s, 1, SH + ,6), o', r) + $0 + 39);?" — s, where C(s, I, K, o, r) is the Black—Scholar“. formula.