An annuity with infinite life with continuous payments of annuities by the insurer is

Amortised plan of loan
Annuity in perpetuity
APR
Principal

The correct answer is B. Annuity in perpetuity.

An annuity in perpetuity is a series of equal payments made at regular intervals for an infinite period of time. The payments are made by an insurer to a policyholder, and the payments can be either fixed or variable. Annuities in perpetuity are often used as a retirement income source, as they provide a guaranteed stream of income for the rest of the policyholder’s life.

A. Amortised plan of loan is a loan repayment plan in which the borrower makes regular payments that include both interest and principal. The amount of each payment decreases over time as the principal balance decreases.

C. APR is the annual percentage rate of interest charged on a loan. It includes the interest rate as well as other fees associated with the loan.

D. Principal is the amount of money borrowed on a loan. It is the amount that must be repaid, plus interest.