I'm asked the YTM ( expressed as a nominal rate with quarterly capitalization) of a bond that pays quarterly coupons during a year and a half. The price of the bond is not given, we are told the coupons, starting with the second coupon, grow with inflation (anual inflation is expected to be 6.1364%), the coupon rate is 11% annualy. And we are told that the current return for one year for investors is 12.9186%, investors are expected to generate a 12.9186% return for a dollar invested during the first year. The Face Value of the bond is $1,000.

I need the YTM of this bond. But the rate I'am given is just for one year so I can't get the price for the bond.