Pvif and pvifa relationship goals

Time Value of Money Tables in Excel | az-links.info

pvif and pvifa relationship goals

V = C/2 (PVIFA r/2%, 2n) + MV(PVIF r/2%, 2n) . Relationship between bond price and interest rates . of a well-diversified portfolio, common stocks can play an integral role in your quest to achieve your financial goals. Answers to Chapter 3 Questions = 75(PVIFA rr, 5) + (PVIF rr, 5) rr = %. From parts a. and b. of this problem, there is a negative relation between required rates and . Chapter 6 Interest Rates And Bond Valuation Learning Goals 1. Different types of linear relationships. 9. 1. Summation PVIF. 2. FVIF. 3. Annuities. 4. PVIFA. 5. FVIFA. B. Different compounding intervals. C. division with the goal of isolating X on one side of the equation. Example.

In A10 enter the formula: This is the formula that will drive our data table. In B10 enter the formula: In C10 enter the formula: This will "step up" the interest rate. Copy this formula across to AE10 that is 30 columns of interest rates. In A11 enter the formula: In A12 enter the formula: Copy this formula down through A This will "step up" the period number by the number of units specified in B4.

Do not add the shading in row We will do that with Conditional Formatting later on.

  • 4. $1,100 = 1,000(.12) (PVIFA ytm/2, 10(2) ) + 1,000(PVIF ytm/2, 10(2) ) => ytm = 10.37% 2

Before creating the data table, I should explain the data in E1: This is the area specifically, F1 and F2 where Excel will substitute the values from the top row and left column to get the numbers to paste into the table. You can try it yourself: Notice that the value in A10 has changed to 0.

pvif and pvifa relationship goals

That is the same value that we used for the PVIF in the original example problem above. So, essentially what happens in the data table is that Excel will plug numbers into F1 and F2 and then recalculate the formula in A The results will be placed into an array at the intersection of the appropriate row and column.

The Table function will display that array in our table area B To create the data table we need to select A You will now see the following dialog box: This is where you tell Excel that cell F1 is where to plug in the numbers from the top row of the table the interest rates and that F2 is where to plug in the numbers from the left column the period numbers.

Please note that the actual numbers in F1 and F2 do not matter at all because Excel is going to replace them to create the table. Again, this is a two-input data table. You can also create a one-input data table by specifying only the row or column input cell, but that wouldn't suit the purpose here.

Your worksheet should now look like the one below, except for the shading in row At this point the PVIF table is fully functional. If you change the value in B1, for example, then the interest rates in the table will change, and the interest factors will be recalculated as well. However, we need to clean this up a bit to make it more functional. It can also add to the functionality. In this section we will see how to apply several different kinds of formatting and data validation rules to make the TVM tables more flexible and functional.

We don't need to see the contents of E1: F2, so we can hide those cells by setting the font color to white. Also, we don't need to see the number in A In fact, it just confuses things. So, we will apply a custom format to display the text "Period" instead of the result of the formula. Note that this does not change the formula or the result, only what appears in the cell.

Chapter 7 - Valuation and Characteristics of Bonds

To set the custom number format, select A10 and then right click and choose Format Cells. Go to the Number tab and choose the Custom category. In the Type edit box, enter "Period" include the quotation marks. This tells Excel to display the word "Period" regardless of the result of the formula.

Click the OK button to apply the custom number format. Note that if you look at the formula bar you will see that the formula is still there. Only the formatting of the result has been changed.

Let's set one more custom number format, this time in A We want the period numbers to have two decimal places and to be roughly centered in column A. The format mask to do that is 0.

Note that the underscores add spaces to the number format, and that the right paren at the end is required.

What is the relationship between pvif and pvifa

Applying Conditional Formatting Rules Conditional formatting changes the look of a cell or range when certain conditions are met. To set up the rules, select a cell or range and then click the Conditional Formatting button on the Home tab of the ribbon. Choose New Rule from the menu. We want to create rules that are based on formulas, so choose the last item in the Rule Type list Use a formula to determine which cells to format. This leads to the following dialog box: You can see how the rules are created.

They must be formulas that will evaluate to either True or False. Exit from the dialog box so that we can start creating new rules. The first rule will create the shading and borders for the top row of our table. AE10 and then call up the dialog box above. We only want to apply the format to the cells if they are in the "visible" part of the table that is, the column is within the range specified by the number of columns in B6.

So, the rule will be: Apply a format by clicking the Format button and apply some borders, background shading, and a bold font. Click OK to apply the formatting rule.

Chapter 5 – The Time Value of Money  2005, Pearson Prentice Hall.

To test it, change B6 to, say, 10 and make sure that only A K10 have this format. If you change B6 to 15, then A P10 should have the format. For the second rule we want to apply a border to the right edge of column A, but only those rows that are supposed to be visible in the table.

A70 and then create this formatting rule: Apply a format with a border on the right edge only, and set the font to bold.

pvif and pvifa relationship goals

The third rule will hide everything outside of the visible part of the table as defined by the values in B5: Select the entire table A AE70 and then use this rule: That will preserve the data, but it will be invisible because the font color is the same as the background color.

Consequently, a one percent change in interest rates produces approximately the same change in the prices of the asset and liability.


From this we see that as yield to maturity increases, duration decreases. As maturity increases, duration increases but at a decreasing rate. Taking the first derivative of a bond's fixed income security's price P with respect to yield to maturity R provides us with the following: This equation can be rewritten to provide a practical application: Find the present value of dividends during the period of supernormal growth.

Find present value of dividends after period of supernormal growth a. In the box marked Ticker enter AA and click on Go. This brings up a file that contains the relevant data.

Repeat this process using the ticker, TGT. If interest rates increase, the value of debt for these two companies will decrease.