Present Value of Annuity: Present Value Factor for a Lifetime Annuity with a Guaranteed Period

Present value factor for a life annuity with a projected interest rate i (%), annuity commencement age x, p payments per year at the end of each period, and a guarantee period of n years
This is the present value factor (compounded) for an annuity where 1 yen is paid annually starting at age x, divided into p installments (1/p yen every 12/p months), contingent on survival.
However, for the first n years after the start of payments, the annuity is paid regardless of whether the recipient is alive or deceased.