Public Funds Example

Following a public debt example is analyzed to learn about its characteristics and profitability it provides. Issuing data is as follows:

Commerce bonds buying price: 10,000 mu (monetary units)

Type of interest: 13.5% annual gross paid every 6 months that is to say 6.75% semester gross. Being gross means it includes taxes incurred by the investment.

Interest payment: interest coupons will be paid at the end of each semester during a 3-year term.

Maturity date: at the end of the third year the commerce bond will be amortized.

Fiscal Tax Return Relief: the investor can deduct form its share of income tax 15% of the investment in the first year (1500 mu). This tax return will be done at the end of first semester.

Commerce bond?s date of purchase: December 20, 0000

The collections (+) and payments (-)this investment will generate are:

  • December 20, 0             -10,000 mu.
  • June 20, 1         + 675 mu in interests, & + 1500 mu in tax return
  • December 20, 1             + 675 mu in interests
  • June 20,                         + 675 mu
  • December 20, 2             + 675 mu in interests
  • June 20, 3                      + 675 mu in interests
  • December 20, 3             + 675 mu in interests and + 10,000 mu when commerce bonds are amortized.

To learn about the Annual Effective Profitability one can apply the following formula for the Internal Profit rate.

-   10,000  +  675 + 1,500  +  675   +  675 +  675  +  675  +  675 + 10,000   =   0       

( 1 + r)0        ( 1 + r )1       (1 + r)2  (1 + r)3 (1 + r)4 (1 + r)5       ( 1 + r )6

In this case, the internal rate of semester profitability equals 9.87%. As it is of interest to know the annual percentage of profitability, one must convert in annual the internal rate of semester profitability:

(1 + 0,0987)2 – 1 = 20.72% annual

Therefore, the annual profitability of this investment is 20.72%. We must take into account that this profitability is gross, since the investors have to pay no taxes due  interests have been deducted.

In case there would not be any fiscal tax return, only 675 mu would be charged in June the first year. Then, semester profitability would be 6.75% and the annual one would be 13.95%. Therefore, in these type of investments, profitability decreases very much when there is fiscal tax return.

Beginner Money Investing Underlying Assets Reimbursed Debentures Public Funds Example Types of Bonds Public Funds Debentures Stocks can also be: Stock Example Short-term Financial Assets Company Promissory Notes Credit Entities Commercial Papers Treasury Notes and Investment Funds Underlying Investment Societies Warrants Public & Private Values