I would like to ask, are the two methods of calculating the present value of deferred annuities cont

The formula for calculating the present value of deferred annuity is p=a (p a,i,n) (p f,i,m).

In the deferred annuity deferred to period m, starting from period m+1, it belongs to a typical ordinary annuity, n represents the number of a in the ordinary annuity, therefore, a (p a, i, n) represents the value discounted to the beginning of the (m+1) period (that is, the end of the m period), and the present value of the deferred annuity we want to find refers to the value at the beginning of the first period, and the interval between the beginning of the (m+1) period and the beginning of the first period is m period, so a (p a, i, n) should be compounded and discounted to m period, that is, p=a （p a，i，n） （p f，i，m）。

The formula for calculating the present value of deferred annuity is p=a (f a,i,n) (p f,i,n m):

Using this formula to calculate the present value of a deferred annuity is actually to find the final value first and then discount it. a (f a,i,n) calculates the final value of the annuity of the same amount of payment n times at the end of the (m n) period, since we need to calculate the present value at the beginning of the first period, we need to multiply by the compound interest present value coefficient of (m n) period on this basis, i.e., p=a (f a,i,n) (p f,i,n m).

The formula for calculating the present value of deferred annuity is p a (p a,i,n) (p f,i,m):

Apply the deferred annuity to the ordinary annuity formula to find the present value, and the present value obtained at this time is the value of the previous period of the first equal amount of receipt and payment, and then push forward the number of deferred periods to obtain the present value of the deferred annuity.

Deferred annuity, also known as deferred annuity, refers to a series of equal payments in the following periods when there is no payment in the first few periods, which is an ordinary annuity.

Today, let's introduce the present value of deferred annuities.

How is it calculated and what is the present value of a deferred annuity?

What is the present value calculation of a deferred annuity?

Deferred annuity has already been introduced at the beginning, it is just a special form of ordinary annuity, which is a manifestation of money in finance. So what is the calculation of the present value of a deferred annuity? Let's take an example to explain the present value of a corporate annuity, as if you deposited a sum of money in a bank in 2010, and then you deposited a fixed deposit.

In 2011, the bank will deposit the principal and interest of the deposit together. In this way, year after year, in 2020, the deposit will mature, and in these 10 years, the interest on your deposit will also be deposited in the bank as this deposit, such a sum of money is called annuity, and the interest it generates is called the present value of the deferred annuity.

How the present value of a deferred annuity is calculated.

The first method is to apply the formula of ordinary annuity to find the present value of the annuity after the land extension, so that the present value calculated is the value point of the deferred annuity at the vertical distance at the end of the previous period of receipt and payment, and then according to the M periodPresent value of compound interestThe formula can be discounted to M period. The second calculation method is to treat the deferred annuity at the end of each period as an equal amount of receipt and payment A, treat the deferred and subsequent periods as an ordinary annuity, calculate the present value of the ordinary annuity, and then subtract the present value of the deferred annuity.

Summary. Therefore, the calculation of the present value of a deferred annuity is to calculate the interest on this annuity and how much it is worth today. If you still don't understand anything, you can consult professional financial teachers, who are very familiar with the calculation of the present value of this deferred annuity.

The present value of the deferred annuity is calculated in the form of 1, Pa=A (p a,i,n) (p f,i,m), the way is to apply the deferred annuity to the ordinary annuity Gongxiang Qiaoxing formula to find the present value, and the present value calculated is the value at the end of the period before the first equal amount of receipt and payment, and there is m period from the present value point of the deferred annuity, and then the M period can be discounted according to the compound interest present value formula.

There is a formula for this, and it can be calculated according to the formula, and in general, the present value of the annuity will be calculated first, and then calculated.

This calculation method is very complex, and there is a corresponding calculation process, but if you know the formula and data, it is relatively simple to calculate.

The final value of the deferred annuity has nothing to do with the deferred m, so the calculation method of the final value of the deferred annuity is the same as that of the ordinary annuity. The formula for the terminal value of a deferred annuity: f=a (f a,i,n), n refers to the number of deferrals.

The first step is to find the present value at the end of the deferral. pm=a· (p a,i,n) The second step is to adjust the present value at the end of the deferral to the beginning of the first period. p=pm·(p/s,i,m)

Combining the above two calculation steps, one of the formulas for calculating the present value of deferred annuity can be obtained.

The formula for calculating the final value of deferred annuity is:

f = a*(f a,i,n)=a*(1 i)n 1 i, where (f a,i,n) is called the "annuity final value coefficient".

In the formula, n-1 and -n both mean to the power of the power. Terminal value of deferred annuity f=a*(f a,i,n) Terminal value of deferred annuity: f=a[(1+i)n-1] i or:

a(f a,i,n) f is the final value of the ordinary annuity; a is an annuity; i is the interest rate; n Duration; (f a, i, n) A table of the final value coefficient of the annuity can be checked. If you have $100 now and want to buy a product in a year, then the amount in 1 year is the final value, and the yield is 10%. Final value = 100 * (1 + 10%) = 110, that is, the funds you can buy in the future are 110.

For example, it is f=18*(f a,10%,10)=18*. The comma plays the role of isolation, i represents the interest rate, n represents the number of periods, (f a, i, n) can be obtained by checking the present value coefficient table of annuity, and the known annuity a, which can be calculated according to the formula, is obtained by checking the final value coefficient table of annuity, not calculated. There is a table after the financial management textbook, the number of known periods n, and the interest rate i can be found.

Deferred annuity is just a backward extension of the occurrence time of the annuity, and it only needs to be calculated from the year in which your annuity starts to occur. Therefore, the calculation method is the same as that of the terminal value of ordinary annuity.

In October 2007, the self-study exam "Financial Management" real questions and multiple-choice questions No. 2.

Assuming that there are no receipts and payments in the initial M period, and the same series of receipts and payments A occur at the end of the subsequent N periods, if the interest rate is i, the formula for calculating the present value of the deferred annuity is ( ).

n・pvifi，m

m+nm+pvifi，m

m+n-a・pvifai，n

m+n-a・pvifai，m

See the answer explainedCorrect Answer:aeProofreading Answers:In order to calculate the present value of the annuity for the N period after the M period, the present value of the annuity at the beginning of the N period (the end of the M period) should be calculated, and then it should be discounted to the present value of the final value of the M period to the beginning of the M period, and the calculation formula is as follows:

a・pvifai，n・pvifi，m；In addition, you can also find the present value of the postpaid annuity in the M + N period, and reduce the present value of the postpaid annuity in the previous M period without payment, which is the present value of the N postpaid annuity in the deferred M period, and the calculation formula is as follows: A pvifai, M+N-A Pvifai, M. See page 58 of the textbook. Defeated.

Formula for calculating the present value of extended annuity:

The present value of the deferred annuity = a (p a,i,n) (p f,i,m) = a (p a,i,m+n)-a (p a,i,m), deferred m, subsequent years n.

The final value of the deferred annuity = a (p a, i, chain splitting n), deferred m, the overall life m + n.

The final value of the deferred annuity is not related to the deferral, because there is no cash flow during the deferred period;

The present value of the deferred annuity has nothing to do with the deferral, and needs to be deferred for compound interest discount or deferred deduction for the present value of the annuity.

Under present value measurement, assets are measured at a discounted amount of future net cash inflows expected to arise from their continued use and eventual disposal; Liabilities are measured at the discounted amount of future net cash outflows that need to be repaid during the projected period. Present value is characterized by considering the time value of money from the perspective of cash flow from the point of view of not rising keys. It is mainly suitable for long-term assets.

Company A has a freight truck with a book value of 100,000 yuan at the end of 2009 and is expected to be available for three years.

In three years, it is expected to bring cash flow of 50,000 yuan per year in use, and 10,000 yuan when it is disposed of after three years. Assuming that the discount rate is 6, the present value of future cash flows is 5 (1 6) 5 (1 6)2 and rises by 6 (1 6) 30,000 yuan), that is, the value of the freight vehicle is the present value of the cash flow brought by it.