Final answer:
Harriet will receive payments from Henry's Life with Period Certain annuity for the remaining 5 years of the 10 years, as he passed away after 5 years. Option b) Payments for the remaining 5 years is the correct answer.
Step-by-step explanation:
If Henry has a Life with a certain annuity (life or ten years), and he dies after 5 years, then his wife, Harriet, will receive payments for the remaining 5 years. In a life with period certain annuity, the annuitant receives payments for life or for a guaranteed period (the 'certain period'), whichever is longer.
Since Henry passed away after 5 years, Harriet will receive the payments for the guaranteed period that has not yet elapsed, which in this case is the remaining 5 years of their 10-year period certain. Therefore, the correct answer to what Harriet will receive is (b) Payments for the remaining 5 years.