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🎯PV and FV of an Annuity: 20 MCQs

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	1	2	3	4	5	6
1	1.000	1.000	0.926	1.080	1.080	0.926
2	1.926	2.080	0.857	2.246	1.166	1.783
3	2.783	3.246	0.794	3.506	1.260	2.577
4	3.577	4.506	0.735	4.867	1.360	3.312

	PV of $1	FV of $1	PVA of $1	FVAD of $1	FVA of $1
1	0.91743	1.09000	0.91743	1.0900	1.0000
2	0.84168	1.18810	1.75911	2.2781	2.0900
3	0.77218	1.29503	2.53129	3.5731	3.2781
4	0.70843	1.41158	3.23972	4.9847	4.5731
5	0.64993	1.53862	3.88965	6.5233	5.9847
6	0.59627	1.67710	4.48592	8.2004	7.5233

N	FV $1	PV $1	FVA $1	PVA $1	FVAD $1	PVAD $1
1	1.03000	0.97087	1.0000	0.97087	1.0300	1.00000
2	1.06090	0.94260	2.0300	1.91347	2.0909	1.97087
3	1.09273	0.91514	3.0909	2.82861	3.1836	2.91347
4	1.12551	0.88849	4.1836	3.71710	4.3091	3.82861
5	1.15927	0.86261	5.3091	4.57971	5.4684	4.71710
6	1.19405	0.83748	6.4684	5.41719	6.6625	5.57971
7	1.22987	0.81309	7.6625	6.23028	7.8923	6.41719
8	1.26677	0.78941	8.8923	7.01969	9.1591	7.23028
9	1.30477	0.76642	10.1591	7.78611	10.4639	8.01969
10	1.34392	0.74409	11.4639	8.53020	11.8078	8.78611
11	1.38423	0.72242	12.8078	9.25262	13.1920	9.53020
12	1.42576	0.70138	14.1920	9.95400	14.6178	10.25262
13	1.46853	0.68095	15.6178	10.63496	16.0863	10.95400
14	1.51259	0.66112	17.0863	11.29607	17.5989	11.63496
15	1.55797	0.64186	18.5989	11.93794	19.1569	12.29607
16	1.60471	0.62317	20.1569	12.56110	20.7616	12.93794

N	FV $1	PV $1	FVA $1	PVA $1	FVAD $1	PVAD $1
1	1.03000	0.97087	1.0000	0.97087	1.0300	1.00000
2	1.06090	0.94260	2.0300	1.91347	2.0909	1.97087
3	1.09273	0.91514	3.0909	2.82861	3.1836	2.91347
4	1.12551	0.88849	4.1836	3.71710	4.3091	3.82861
5	1.15927	0.86261	5.3091	4.57971	5.4684	4.71710
6	1.19405	0.83748	6.4684	5.41719	6.6625	5.57971
7	1.22987	0.81309	7.6625	6.23028	7.8923	6.41719
8	1.26677	0.78941	8.8923	7.01969	9.1591	7.23028
9	1.30477	0.76642	10.1591	7.78611	10.4639	8.01969
10	1.34392	0.74409	11.4639	8.53020	11.8078	8.78611
11	1.38423	0.72242	12.8078	9.25262	13.1920	9.53020
12	1.42576	0.70138	14.1920	9.95400	14.6178	10.25262
13	1.46853	0.68095	15.6178	10.63496	16.0863	10.95400
14	1.51259	0.66112	17.0863	11.29607	17.5989	11.63496
15	1.55797	0.64186	18.5989	11.93794	19.1569	12.29607
16	1.60471	0.62317	20.1569	12.56110	20.7616	12.93794

N	FV $1	PV $1	FVA $1	PVA $1	FVAD $1	PVAD $1
1	1.03000	0.97087	1.0000	0.97087	1.0300	1.00000
2	1.06090	0.94260	2.0300	1.91347	2.0909	1.97087
3	1.09273	0.91514	3.0909	2.82861	3.1836	2.91347
4	1.12551	0.88849	4.1836	3.71710	4.3091	3.82861
5	1.15927	0.86261	5.3091	4.57971	5.4684	4.71710
6	1.19405	0.83748	6.4684	5.41719	6.6625	5.57971
7	1.22987	0.81309	7.6625	6.23028	7.8923	6.41719
8	1.26677	0.78941	8.8923	7.01969	9.1591	7.23028
9	1.30477	0.76642	10.1591	7.78611	10.4639	8.01969
10	1.34392	0.74409	11.4639	8.53020	11.8078	8.78611
11	1.38423	0.72242	12.8078	9.25262	13.1920	9.53020
12	1.42576	0.70138	14.1920	9.95400	14.6178	10.25262
13	1.46853	0.68095	15.6178	10.63496	16.0863	10.95400
14	1.51259	0.66112	17.0863	11.29607	17.5989	11.63496
15	1.55797	0.64186	18.5989	11.93794	19.1569	12.29607
16	1.60471	0.62317	20.1569	12.56110	20.7616	12.93794

year	cash flow
1	$8,000
2	$12,000
3	$10,000
4	$15,000

n	PV of $1	FV of $1	PVA of $1	FVAD of $1	FVA of $1
1	0.91743	1.09000	0.91743	1.0900	1.0000
2	0.84168	1.18810	1.75911	2.2781	2.0900
3	0.77218	1.29503	2.53129	3.5731	3.2781
4	0.70843	1.41158	3.23972	4.9847	4.5731
5	0.64993	1.53862	3.88965	6.5233	5.9847
6	0.59627	1.67710	4.48592	8.2004	7.5233

N	FV $1	PV $1	FVA $1	PVA $1	FVAD $1	PVAD $1
1	1.03000	0.97087	1.0000	0.97087	1.0300	1.00000
2	1.06090	0.94260	2.0300	1.91347	2.0909	1.97087
3	1.09273	0.91514	3.0909	2.82861	3.1836	2.91347
4	1.12551	0.88849	4.1836	3.71710	4.3091	3.82861
5	1.15927	0.86261	5.3091	4.57971	5.4684	4.71710
6	1.19405	0.83748	6.4684	5.41719	6.6625	5.57971
7	1.22987	0.81309	7.6625	6.23028	7.8923	6.41719
8	1.26677	0.78941	8.8923	7.01969	9.1591	7.23028
9	1.30477	0.76642	10.1591	7.78611	10.4639	8.01969
10	1.34392	0.74409	11.4639	8.53020	11.8078	8.78611
11	1.38423	0.72242	12.8078	9.25262	13.1920	9.53020
12	1.42576	0.70138	14.1920	9.95400	14.6178	10.25262
13	1.46853	0.68095	15.6178	10.63496	16.0863	10.95400
14	1.51259	0.66112	17.0863	11.29607	17.5989	11.63496
15	1.55797	0.64186	18.5989	11.93794	19.1569	12.29607
16	1.60471	0.62317	20.1569	12.56110	20.7616	12.93794

N	FV $1	PV $1	FVA $1	PVA $1	FVAD $1	PVAD $1
1	1.03000	0.97087	1.0000	0.97087	1.0300	1.00000
2	1.06090	0.94260	2.0300	1.91347	2.0909	1.97087
3	1.09273	0.91514	3.0909	2.82861	3.1836	2.91347
4	1.12551	0.88849	4.1836	3.71710	4.3091	3.82861
5	1.15927	0.86261	5.3091	4.57971	5.4684	4.71710
6	1.19405	0.83748	6.4684	5.41719	6.6625	5.57971
7	1.22987	0.81309	7.6625	6.23028	7.8923	6.41719
8	1.26677	0.78941	8.8923	7.01969	9.1591	7.23028
9	1.30477	0.76642	10.1591	7.78611	10.4639	8.01969
10	1.34392	0.74409	11.4639	8.53020	11.8078	8.78611
11	1.38423	0.72242	12.8078	9.25262	13.1920	9.53020
12	1.42576	0.70138	14.1920	9.95400	14.6178	10.25262
13	1.46853	0.68095	15.6178	10.63496	16.0863	10.95400
14	1.51259	0.66112	17.0863	11.29607	17.5989	11.63496
15	1.55797	0.64186	18.5989	11.93794	19.1569	12.29607
16	1.60471	0.62317	20.1569	12.56110	20.7616	12.93794

N	FV $1	PV $1	FVA $1	PVA $1	FVAD $1	PVAD $1
1	1.03000	0.97087	1.0000	0.97087	1.0300	1.00000
2	1.06090	0.94260	2.0300	1.91347	2.0909	1.97087
3	1.09273	0.91514	3.0909	2.82861	3.1836	2.91347
4	1.12551	0.88849	4.1836	3.71710	4.3091	3.82861
5	1.15927	0.86261	5.3091	4.57971	5.4684	4.71710
6	1.19405	0.83748	6.4684	5.41719	6.6625	5.57971
7	1.22987	0.81309	7.6625	6.23028	7.8923	6.41719
8	1.26677	0.78941	8.8923	7.01969	9.1591	7.23028
9	1.30477	0.76642	10.1591	7.78611	10.4639	8.01969
10	1.34392	0.74409	11.4639	8.53020	11.8078	8.78611
11	1.38423	0.72242	12.8078	9.25262	13.1920	9.53020
12	1.42576	0.70138	14.1920	9.95400	14.6178	10.25262
13	1.46853	0.68095	15.6178	10.63496	16.0863	10.95400
14	1.51259	0.66112	17.0863	11.29607	17.5989	11.63496
15	1.55797	0.64186	18.5989	11.93794	19.1569	12.29607
16	1.60471	0.62317	20.1569	12.56110	20.7616	12.93794

n	PV of $1	FV of $1	PVA of $1	FVAD of $1	FVA of $1
1	0.91743	1.09000	0.91743	1.0900	1.0000
2	0.84168	1.18810	1.75911	2.2781	2.0900
3	0.77218	1.29503	2.53129	3.5731	3.2781
4	0.70843	1.41158	3.23972	4.9847	4.5731
5	0.64993	1.53862	3.88965	6.5233	5.9847
6	0.59627	1.67710	4.48592	8.2004	7.5233

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Deleted User 15 April 2024

Hello Adam,

Please can you mention which question are you referring to ?

Farhat Lectures Support Team

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Deleted User 15 April 2024

Hello Adam,

You’re correct, and I appreciate your thoroughness in considering both approaches. While it’s true that the Future Value of $1 table can be used, in this context, the question specifically asks for the amount Lyan should invest now to achieve a future value of $5000 after four years.

Using the Future Value of $1 table would entail finding out how much $1 invested today would grow to in four years at 7% interest. This gives the future value of $1, but it doesn’t directly provide the present value of a future amount, which is what we need in this case.

The Present Value of $1 table directly provides the value of a future amount in present terms, which aligns with the question’s requirement of determining the amount Lyan needs to invest now.

So while both tables can theoretically yield the same result, the Present Value of $1 table is the more appropriate choice for this specific question, as it directly provides the present value of a future amount, aligning with the question’s requirements.

Farhat Lectures Support Team

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Cyndee Jackson 6 March 2026

https://farhatlectures.com/members/cyndee-jackson/
Based on the wording of the question, why is n=10 and not 20 (since the interest is paid semiannually)?

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1. Maroun, CPA 9 March 2026
  
  Hello Cyndee,
  
  If the question had said ten years of semiannual payments, then you would use n = 20. Here it says ten semiannual payments, so it’s 10 total payments.
  
  Based on the question’s wording, ten semiannual payments means 10 periods, not 20. That’s why n = 10 is appropriate.
  
  The “semiannual” part is handled by adjusting the rate per period, not by doubling the number of payments. Since the discount rate given is 6% annually, the semiannual rate is 3% per period (6% ÷ 2).
  
  Hope this makes sense!
  
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Christopher Caballero 29 May 2026

#5 While this question seems to be easier, some people may struggle to understand it. The question does not state Melania’s age; as a result, this can confuse future users to answer this question. If Melania is 2 years old, then we have five periods instead of seven.

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1. Maroun, CPA 31 May 2026
  
  Hello Christopher,
  
  You are correct! The wording is confusing because the question does not clearly tell us that the $500,000 gift will be received 7 years from today.
  
  I’ve updated the question to remove the ambiguity.
  Thank you for bringing this to our attention!
  
  Log in to Reply

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🎯PV and FV of an Annuity: 20 MCQs

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