This assignment is a modification of the program that you wrote for Lab 7. In that lab, you used parallel arrays to store the data and the results. In this lab, you are to use a single array of records. Each record stores the present value, the nominal rate, the compounding frequency, the number of years, the future value, the total interest, and the APY of a single investment. Your new program should make use of the same three functions you used for lab seven but modified to accept an array of records rather than parallel arrays.

Generate a text file named "Investments.txt" containing a table that gives the results of several lump-sum investments earning compound interest. Each line of the table represents one investment and contains the present value (dollars), the nominal annual rate (as a percent), the compounding frequency (monthly, quarterly, semiannually, or annually), the term in years, the future value (dollars), the total interest earned during the term of the investment (dollars), and the annual percentage yield (as a percent). The table columns are separated by two blank spaces and the table format is illustrated in the example below.

Present Nominal Compounding Future Total Value Rate Frequency Years Value Interest APY ---------- ------- ------------ ----- ---------- ---------- ------- 1000.00 5.25% Annually 10 1668.10 668.10 5.250% 1000.00 5.25% Semiannually 10 1679.05 679.05 5.319% 1000.00 5.25% Quarterly 10 1684.70 684.70 5.354% 1000.00 5.25% Monthly 10 1688.52 688.52 5.378% 1500.00 4.00% Quarterly 5 1830.29 330.29 4.060% 500.00 6.90% Monthly 3 614.63 114.63 7.122% 2500.00 3.93% Monthly 8 3421.84 921.84 4.002%

The investment parameters will be read from a text file named "Investments.dat". Each line of the file contains four numbers: the present value (in dollars), the nominal annual rate (as a percent but without the percent symbol), the compounding frequency (an integer), and the term in years (an integer). The number of lines in the file is unknown ahead of time. The results shown earlier were generated using this data file:

1000 5.25 1 10 1000 5.25 2 10 1000 5.25 4 10 1000 5.25 12 10 1500 4.0 4 5 500 6.9 12 3 2500 3.93 12 8

Calculate the future value, the total interest earned, and the annual percentage yield for each investment:

Variable |
Represents |
Formula |

FV | Future Value | FV = PV*(1+i)^{n} |

PV | Present Value | Given |

r | Nominal Annual Rate | Given |

ppy | Periods per Year | Given |

i | Periodic Rate | i=r/ppy |

t | Time in Years | Given |

n | Number of Periods | n=t*ppy |

I | Total Interest | I = FV - PV |

APY | Annual Percentage Yield | APY = (1+i)^{ppy} - 1 |

There is no exponentiation operator in C++. However, C++ provides a function that performs this useful operation:

pow(b, n) returns the value of b^{n}as a double

To use this function, you must include the cmath header file.