Problem #$5$: You will be making monthly deposits of increasing size into a bank account for $5$ years. The account will earn

continuously compounding interest each month. Every $3$ months $($i$.$e$.$ every quarter$)$ the interest rate will increase.

The initial deposit will be $$185.$ At the beginning of each month thereafter, another deposit will be made

increasing by size $$20.$ The continuously compounded interest rate will be $4\mathrm{.}77\%$ per annum for the first quarter,

but will then increase by $0\mathrm{.}2\%$ at the beginning of each subsequent quarter. Note that the rate is the same constant

value for each of the $3$ months in a given quarter. Create a spreadsheet with headings as shown:

Each row of the table will represent a different month, with the first row being time zero.

Programming note: You will be reusing this spreadsheet and using Goal Seek in the next question. So you should

use best practices by having all parameters in individual cells at the top of your spreadsheet. Then inside the

table, all the formulas should contain cell references only; no constant numerical values, as illustrated above.

Suggestion: For ease in entering the formula for an increasing rate, the first three time steps have the identical

rate, and then the rate in any later month equals the rate $3$ months ago plus the increase.

At the end of $5$ years, after your $61$ st deposit, how much money do you have?

Problem #$5$:

Answer correct to $2$ decimals

Problem #$6$: Return to the spreadsheet from the previous problem. Keep the initial deposit and all the interest rates the same.

Use Excel's "Goal Seek" to determine the amount by which the deposit should increase each month in order to

reach a final value of $$78842\mathrm{.}15$ after the $61$ st deposit.

What should be the monthly increase in the size of the deposit?

$($Note: "Goal Seek" is usually located under "What$-$If Analysis" under the "Data" tab.$)$

Problem #$6$:

Answer correct to $2$ decimalsWhat's the answer for question $5$ and answer for question $6?$