﻿ Lab 8

## Lab 8

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.

### Output Specifications

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%```

### Input Specifications

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```

### Process Specifications

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

### Miscellaneous

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

`    pow(b, n) returns the value of bn as a double `

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