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Suppose your father decides to gift you Rs. 10,000 every year starting from today for the next five years, you deposit this amount in a bank as and when you receive and get 10% per annum interest rate compounded annually. What is the present value of this annuity? ( P(4, 0.10) = 3.16987)
  • a)
    Rs.41,698.70
  • b)
    Rs.45,698.70
  • c)
    Rs.42,698.70
  • d)
    Rs.43,698.70
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Suppose your father decides to gift you Rs. 10,000 every year starting...
Here it is annuity immediate.
so, calculate the present value for one period short and add the initial amount to it.


={P(4,0.1) � 10000} + 10000

=[3.16987 � 10000] + 10000

=31698.7 + 10000

=41698.7
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Most Upvoted Answer
Suppose your father decides to gift you Rs. 10,000 every year starting...
Given information:
- Annual payment = Rs. 10,000
- Payment period = 5 years
- Interest rate = 10% per annum, compounded annually

To find: Present value of annuity

Formula used:
PV = A * [(1 - (1 + r)^-n) / r]
where,
PV = Present value of annuity
A = Annual payment
r = Interest rate
n = Payment period

Calculation:
- A = Rs. 10,000
- r = 10% per annum, compounded annually = 0.10
- n = 5 years

Using the formula,
PV = 10,000 * [(1 - (1 + 0.10)^-5) / 0.10]
PV = Rs. 41,698.70

Therefore, the present value of the annuity is Rs. 41,698.70.
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Community Answer
Suppose your father decides to gift you Rs. 10,000 every year starting...
Here it is annuity immediate.
so, calculate the present value for one period short and add the initial amount to it.


={P(4,0.1) × 10000} + 10000

=[3.16987 × 10000] + 10000

=31698.7 + 10000

=41698.7
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Suppose your father decides to gift you Rs. 10,000 every year starting from today for the next five years, you deposit this amount in a bank as and when you receive and get 10% per annum interest rate compounded annually. What is the present value of this annuity? ( P(4, 0.10) = 3.16987)a)Rs.41,698.70b)Rs.45,698.70c)Rs.42,698.70d)Rs.43,698.70Correct answer is option 'A'. Can you explain this answer?
Question Description
Suppose your father decides to gift you Rs. 10,000 every year starting from today for the next five years, you deposit this amount in a bank as and when you receive and get 10% per annum interest rate compounded annually. What is the present value of this annuity? ( P(4, 0.10) = 3.16987)a)Rs.41,698.70b)Rs.45,698.70c)Rs.42,698.70d)Rs.43,698.70Correct answer is option 'A'. Can you explain this answer? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about Suppose your father decides to gift you Rs. 10,000 every year starting from today for the next five years, you deposit this amount in a bank as and when you receive and get 10% per annum interest rate compounded annually. What is the present value of this annuity? ( P(4, 0.10) = 3.16987)a)Rs.41,698.70b)Rs.45,698.70c)Rs.42,698.70d)Rs.43,698.70Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Suppose your father decides to gift you Rs. 10,000 every year starting from today for the next five years, you deposit this amount in a bank as and when you receive and get 10% per annum interest rate compounded annually. What is the present value of this annuity? ( P(4, 0.10) = 3.16987)a)Rs.41,698.70b)Rs.45,698.70c)Rs.42,698.70d)Rs.43,698.70Correct answer is option 'A'. Can you explain this answer?.
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