Shape of the Yield curve:
(i) Value of an embedded call option increase as interest rate decline.
(ii) An upward sloping yield curve becomes flatter, the call option value increase.
My understanding is that: interest rate decrease >> price of bond increase >> >> price of callable bond increase >> price of call options decrease (Price of call = Price of straight - Price of callable). Why is it that when upward sloping yield curve becomes flatter, i.e. expecting lower interest rate, value of call option increase instead of decrease?
Please help