P 0 2 n years B) n(la), 7-8% In Problems 1 through 8, Given the first payment is P, and payment increasing by Q thereafter, continuing for n or infinite years and i=8%, as shown in the figure below. P+Q P+20 P+3Q P+(n-1)0 1 1 3 IPV.= ? IAV. = ? 1. Which of the following notations is the IPV. of the annuity at one year before the first payment, when P=n, Q=0? A) na -3% C) n(Is), D) n(Da),-- 2. Which of the following notations is the IPV. of the annuity at one year before the first payment, when P=n, Q=-1? A) (Da) -- B) (Da).-.-. C) n(Da),-- D) 2(Da),-,- 3. Which of the following notations is the IPV. of the annuity at one year before the first payment, when P =1, Q = 1? A) (la), B) (13), C) 4,- D) 2a, 7-5% 4. Which of the following notations is the IPV. of the perpetuity at one year before the first payment, when P=n, Q=n? A) 1/(1+1) Bn/(vd) C) n(1-v")/i D) n/id 5. Which of the following notations is the IAV. of the annuity at the last payment, when P =n, Q = n? A) (17), B) (Is), C) n(Is),--- 6. When P =625, Q =25, n=20, 070-3* =9.818, 120 = 21455 and find the IPV. of the annuity at one year before the first payment, (IPV)20% = B) 7683 C) 7863 D) 8763 7. When P=625, Q-25, n = 20, 930-- =45.762, find the IAV. of the annuity at the last Payment, (IAV)20---- A) 33562 B) 34256 C) 35626 D) 36652 D) na-8% A) 7386 8. When P=r, Q=s, n = 20, (IPV)207-* = 11,714.33, find the IAV. of the annuity at the last Payment, (IAD)20-8= A) 54,600 B) 65,400 C) 65,400 D) 65,400 9. If (la).-= 45.3125, find the annual interest i = A) 10% B) 12% C) 14% D) 16% P 0 2 n years B) n(la), 7-8% In Problems 1 through 8, Given the first payment is P, and payment increasing by Q thereafter, continuing for n or infinite years and i=8%, as shown in the figure below. P+Q P+20 P+3Q P+(n-1)0 1 1 3 IPV.= ? IAV. = ? 1. Which of the following notations is the IPV. of the annuity at one year before the first payment, when P=n, Q=0? A) na -3% C) n(Is), D) n(Da),-- 2. Which of the following notations is the IPV. of the annuity at one year before the first payment, when P=n, Q=-1? A) (Da) -- B) (Da).-.-. C) n(Da),-- D) 2(Da),-,- 3. Which of the following notations is the IPV. of the annuity at one year before the first payment, when P =1, Q = 1? A) (la), B) (13), C) 4,- D) 2a, 7-5% 4. Which of the following notations is the IPV. of the perpetuity at one year before the first payment, when P=n, Q=n? A) 1/(1+1) Bn/(vd) C) n(1-v")/i D) n/id 5. Which of the following notations is the IAV. of the annuity at the last payment, when P =n, Q = n? A) (17), B) (Is), C) n(Is),--- 6. When P =625, Q =25, n=20, 070-3* =9.818, 120 = 21455 and find the IPV. of the annuity at one year before the first payment, (IPV)20% = B) 7683 C) 7863 D) 8763 7. When P=625, Q-25, n = 20, 930-- =45.762, find the IAV. of the annuity at the last Payment, (IAV)20---- A) 33562 B) 34256 C) 35626 D) 36652 D) na-8% A) 7386 8. When P=r, Q=s, n = 20, (IPV)207-* = 11,714.33, find the IAV. of the annuity at the last Payment, (IAD)20-8= A) 54,600 B) 65,400 C) 65,400 D) 65,400 9. If (la).-= 45.3125, find the annual interest i = A) 10% B) 12% C) 14% D) 16%
