Financial Management exercise questions.
$3749.29
9078.83 At the end of the first year, 9078.83 @ 12% growth will become 10168.29 end of 2nd year, 10168.29 becomes 11388.48 end of 3rd year, 11388.48 becomes 12755.10 end of 4th year, 12755.10 becomes 14285.71 end of 5th year, 14285.71 becomes 16000 Of course, you can use 'present value' tables, which give a reasonably accurate approximation, but they lack the precision of the actual calculation. The figure can also be calculated by using logarithms. For present value tables. see Related links below this box
11 years
The formula for the present value of an annuity due. The present value of an annuity due is used to derive the current value of a series of cash payments that are expected to be made on predetermined future dates and in predetermined amounts.
If it's 12% per year, compounded annually, then it is: 100 * (1 + 0.12)-2 = 79.72
Net Present Value (NPV) means the difference between the present value of the future cash flows from an investment and the amount of investment.Present value of the expected cash flows is computed by discounting them at the required rate of return. For example, an investment of $1,000 today at 10 percent will yield $1,100 at the end of the year; therefore, the present value of $1,100 at the desired rate of return (10 percent) is $1,000. The amount of investment ($1,000 in this example) is deducted from this figure to arrive at net present value which here is zero ($1,000-$1,000).A zero net present value means the project repays original investment plus the required rate of return. A positive net present value means a better return, and a negative net present value means a worse return.
20.00
That depends on what you are given about the rate of growth in value. If you are given a constant yield of r per year (r being a percentage like 0.05 for 5% annual yield), every year the value is multiplied by r + 1. In n years your investment will be worth the initial investment times (r + 1)n
If based on the present value of annuities Taking a factor of 9.1 Present value of the 15 years annuities is approx $76,506
"Net investment" deducts depreciation from gross investment. Net fixed investment is the value of the net increase in the capital stock per year.
Yes, at the end of the year you take the difference between the interest revenue gained and what would have been gained if the investment had the present value interest. For a discount, the difference will be credited against the discount received.
$3749.29
Present value is a financial term and is the result of discounting future amounts to the present. For example, a cash amount of $10,000 received at the end of 5 years will have a present value of $6,209.21 if the future amount is discounted at 10% compounded annually. Excel provides a function called PV for calculating the Present Value. For the example given, it would be as follows: =PV(10%,5,0,-10000) That is 10% over 5 years, with no payments at the end of year with value owed being 10,000.
Assuming interest is compounded annually, the present value is 5,000 divided by 1.072 .07 is the intererst rate. The exponent is the number of years (2). So the answer is 4,367.20. After the first year, the value is 4367.20 x 1.07 = 4,672.90 Then, at the end of the second year: 4,672.90 x 1.07 = 5,000
That you are loosing value on the investment at that rate per year.
Calculating the return on investment you actually want to know whether the investment will give you positive value in the end. You wouldn't want to waste your money, right? Thus you want to make sure that the net present value of your investment is positive. However, inflation deteriorates the value of money. 100 money today most likely can buy you more today than in a year's time. That's why you are interested in adjusting the expected future cashflows to the expected inflation rate. Overall, not accounting for inflation will overestimate the value of investment. In other words, you could choose something which will not bring you benefit.
Time Value of Money is the value of money taking into account the effects of interest. For Example 100 Currency Units in the future (Future Value) at 5% interest Results in a Present Value Factor of 1/1.05= 0.95238 (After 1 Year) 0.95238/1.05= 0.90703 (After 2 Years) 0.90703/1.05= 0.86384 (After 3 Years) And so on.... Thus in order to get 100 Cu in the future you must invest 1 year = 95.24 Cu (Present Value) 2 years= 90.70 Cu (PV) 3 years= 86.38 Cu (PV) And so on...