Determine the price of a $$1$ million bond issue under each of the following independent assumptions:

Maturity $10$ years, interest paid annually, stated rate $10\%,$ effective $($market$)$ rate $12\%.$

Maturity $10$ years, interest paid semiannually, stated rate $10\%,$ effective $($market$)$ rate $12\%.$

Maturity $10$ years, interest paid semiannually, stated rate $12\%,$ effective $($market$)$ rate $10\%.$

Maturity $20$ years, interest paid semiannually, stated rate $12\%,$ effective $($market$)$ rate $10\%.$

Maturity $20$ years, interest paid semiannually, stated rate $12\%,$ effective $($market$)$ rate $12\%.$