Kinh Nghiệm Hướng dẫn What sum will become Rs 6000 after 2 years 5% per annum when the interest is compounded annually? Mới Nhất
Hoàng Tiến Dũng đang tìm kiếm từ khóa What sum will become Rs 6000 after 2 years 5% per annum when the interest is compounded annually? được Update vào lúc : 2022-10-14 14:10:09 . Với phương châm chia sẻ Mẹo về trong nội dung bài viết một cách Chi Tiết 2022. Nếu sau khi Read Post vẫn ko hiểu thì hoàn toàn có thể lại Comment ở cuối bài để Mình lý giải và hướng dẫn lại nha.Compound Interest: The future value (FV) of an investment of present value (PV) dollars earning interest an annual rate of r compounded m times per year for a period of t years is:
Nội dung chính- What is the amount of Rs 6000 the rate of 5% per annum for 2 years when interest is compounded annually?What will be the compound interest on a sum of Rs 6000 /At what per cent per annum will Rs 6000 amount to Rs 6615 in 2 years when interest is compounded annually?What will be the compound interest on a sum of 6000 for 2 years the rate of 10 per annum?
FV = PV(1 + r/m)mtor
FV = PV(1 + i)n
where i = r/m is the interest per compounding period and n = mt is the number of compounding periods.
One may solve for the present value PV to obtain:
PV = FV/(1 + r/m)mt
Numerical Example: For 4-year investment of $20,000 earning 8.5% per year, with interest re-invested each month, the future value is
FV = PV(1 + r/m)mt = 20,000(1 + 0.085/12)(12)(4) = $28,065.30
Notice that the interest earned is $28,065.30 - $20,000 = $8,065.30 -- considerably more than the corresponding simple interest.
Effective Interest Rate: If money is invested an annual rate r, compounded m times per year, the effective interest rate is:
reff = (1 + r/m)m - 1.
This is the interest rate that would give the same yield if compounded only once per year. In this context r is also called the nominal rate, and is often denoted as rnom.
Numerical Example: A CD paying 9.8% compounded monthly has a nominal rate of rnom = 0.098, and an effective rate of:
r eff =(1 + rnom /m)m = (1 + 0.098/12)12 - 1 = 0.1025.
Thus, we get an effective interest rate of 10.25%, since the compounding makes the CD paying 9.8% compounded monthly really pay 10.25% interest over the course of the year.
Mortgage Payments Components: Let where P = principal, r = interest rate per period, n = number of periods, k = number of payments, R = monthly payment, and D = debt balance after K payments, then
R = P � r / [1 - (1 + r)-n]
andD = P � (1 + r)k - R � [(1 + r)k - 1)/r]
Accelerating Mortgage Payments Components: Suppose one decides to pay more than the monthly payment, the question is how many months will it take until the mortgage is paid off? The answer is, the rounded-up, where:
n = log[x / (x � P � r)] / log (1 + r)
where Log is the logarithm in any base, say 10, or e.Future Value (FV) of an Annuity Components: Ler where R = payment, r = rate of interest, and n = number of payments, then
FV = [ R(1 + r)n - 1 ] / r
Future Value for an Increasing Annuity: It is an increasing annuity is an investment that is earning interest, and into which regular payments of a fixed amount are made. Suppose one makes a payment of R the end of each compounding period into an investment with a present value of PV, paying interest an annual rate of r compounded m times per year, then the future value after t years will be
FV = PV(1 + i)n + [ R ( (1 + i)n - 1 ) ] / i where i = r/m is the interest paid each period and n = m � t is the total number of periods.
Numerical Example: You deposit $100 per month into an account that now contains $5,000 and earns 5% interest per year compounded monthly. After 10 years, the amount of money in the account is:
FV = PV(1 + i)n + [ R(1 + i)n - 1 ] / i =
5,000(1+0.05/12)120 + [100(1+0.05/12)120 - 1 ] / (0.05/12) = $23,763.28
Value of a Bond:
V is the sum of the value of the dividends and the final payment.
You may like to perform some sensitivity analysis for the "what-if" scenarios by entering different numerical value(s), to make your "good" strategic decision.
Replace the existing numerical example, with your own case-information, and then click one the Calculate.
Sum
At what per cent per annum will Rs.6,000 amount to Rs.6,615 in 2 years when interest is compounded annually?
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SolutionAmount = `"P"( 1 + r/100)^n`
⇒ 6,615 = `6,000( 1 + r/100 )^2`
⇒ `( 1 + r/100 )^2 = [6,615]/[6,000]`
⇒ 1 + `r/100 = 21/20`
= r = 5%
At 5% per annum the sum of Rs. 6,000 amounts to Rs. 6,615 in 2 years when the interest is compounded annually.
Concept: Concept of Compound Interest - Inverse Formula
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Chapter 3: Compound Interest (Using Formula) - Exercise 3 (A) [Page 44]
Q. 9Q 8Q 10
APPEARS INSelina Concise Mathematics Class 9 ICSE
Chapter 3 Compound Interest (Using Formula)
Exercise 3 (A) | Q. 9 | Page 44
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What is the amount of Rs 6000 the rate of 5% per annum for 2 years when interest is compounded annually?
∴ Amount = Rs.6000 × 110.25% = Rs.6615 The UPTET exam was conducted on 23rd January 2022.What will be the compound interest on a sum of Rs 6000 /
Complete step-by-step answer: 6300 which will be the principal value for second year. So, the amount obtained after the two years is Rs. 6678.At what per cent per annum will Rs 6000 amount to Rs 6615 in 2 years when interest is compounded annually?
At 5% per annum the sum of Rs 6,000 amounts to Rs 6,615 in 2 years when the interest is compounded annually.What will be the compound interest on a sum of 6000 for 2 years the rate of 10 per annum?
So the compound interest on rs. 6000 10% per annum for 2 years will be rs. 1260 (Ans.) Tải thêm tài liệu liên quan đến nội dung bài viết What sum will become Rs 6000 after 2 years 5% per annum when the interest is compounded annually?