The present value of a deferred perpetuity is $1,938.89.
What is present value?
The present value of a prospective sum of money or cash flow stream given a specified return rate is known as its present value (PV). The present value of future cash flows is reduced by the discount rate, and the higher coupon rate, the lower the present value of future cash flows. The key to correctly valuing future cash flows, whether they are earnings or debt obligations, is determining the appropriate discount rate. The concept of present value states that a quantity of funds today is worth greater than the same amount in the long term. In other words, money gained in the long term is not as valuable as money received today.
The present value of a deferred perpetuity that pays $141 annually with the first payment occurring at year 5 is $1,938.89. This can be calculated by taking the present value of an ordinary annuity formula, which is PV = A / (1 + r)^n, and adding 5 to n. This gives the equation PV = A / (1 + r)^(n + 5), which can be simplified to PV = A / (1 + r)^n * (1 + r)^5. Thus, the present value is $141 / (1 + 0.06)^10 * (1 + 0.06)^5, which equals $1,938.89.
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<span>You are given an annual dividend of $2.10 for the fifteen years that you plan on holding it. Also, after 15 years, you are given to sell the stock for $32.25. You are asked to find the present value of a share for this company if you want a 10% return. You have to mind that the future stock for 15 years is $32.25. You are not only going to mind the present value of the annuity at $2.10 but also the $32.25.
With the interest of r = 10% and number of years of n = 15, we get
PVIFA = 7.6061.
For annuity we have,
$2.10 * 7.60608 = $15.973
For $32.35 with r = 10% and n = 15
PVIF = 0.239392
Thus for the present value of selling price,
$32.25 * 0.239392 = $7.720
Thus the present value of the share
P = $15.973 + $7.720
P = $23.693
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Answer:
Explanation:
* M1 = currency in circulation + checking deposits
* M2= M1 + short term money deposits + 24 hour market funds
a) Deborah CD - M2
b) Van - M1 and M2
c) Carlos savings account - M2
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