Bond Pricing $1,$ Using the PV Formula

Ruiz Company issued bonds on January $1$ and has provided the relevant information. The Controller has asked you to calculate the bond selling price given two different market interest rates using Excel$$s Present Value functions.

Here are some tips for using Excel:

Cell Reference: Allows you to refer to data from another cell in the worksheet. If you entered $=$B$5$ into a blank cell, the formula would output the value from cell B$5.$

Basic Math Functions: Allow you to use the basic math symbols to perform mathematical functions. You can use the following keys: $+($plus sign to add$),-($minus sign to subtract$),*($asterisk sign to multiply$),$ and $/($forward slash to divide$).$ For example, if you entered $=$B$4+$B$5$ in a blank cell, the formula would add the values from those cells and output the result.

PV Function: Allows you to perform a present$-$value calculation. The syntax of the PV function is $=$PV$($rate$,$nper,pmt$,[$fv$],[$type$])$ and its output is the total amount that a series of future payments is worth now $($also known as the present value$).$ The rate argument is the interest rate per period. The nper argument is the total number of payment periods. The pmt argument is the payment made each period that does not change over the life of the investment, and this argument must be included if the $[$fv$]$ argument is not included. The $[$fv$]$ argument is the future value, or the cash basis to attain after the last payment is made; this argument must be included if the pmt argument is omitted. The $[$type$]$ argument is a logical value of $0$ or $1,$ which indicates when the payments are due, where $1$ is the payment at the beginning of the period and $0$ is the payment at the end of the period. Both the $[$fv$]$ and $[$type$]$ values are optional arguments to include, which is why they are surrounded by brackets in the syntax. However, these values would not be entered with brackets in the actual function.

SHOW ALL THE FORMULAS FOR THE ANSWERS$\backslash$table$[[$On January $1,$ Ruiz Company issued bonds as follows:,,$],[$Face Value:,$$500,000,],[$Number of Years:,$30,],[$Stated Interest Rate:,$7\%,],[$Interest payments per year,$2,],[$Note: The bonds pay interest semiannually.,,$],[,,],[$Required:$,,],[1)$ Given the different market interest rates below, calculate the following items.,,$]]$

Calculate the bond selling price using the Excel PV function. Enter all function arguments as cell references.

$($Use cells A$4$ to B$7$ from the given information to complete this question.$)$

Use the answer either "Premium" or "Discount" to the following items.

The bond in $($a$)$ sold at a:

The bond in $($b$)$ sold at a: