In-Class Assignment 1 (TVM-Compounding) - Spring 2024
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RMI 2501 Names: You __Kyle Rudolph ________ Spring 2024 Your partner __Avery Lee __________ In-Class Assignment 1 (TVM/Compounding) 10 points
Due on Monday, February 5, 2024 at 3pm. Your work must be submitted on Canvas and time stamped by 3pm
. You must show your work for each question, i.e. the calculator inputs – PV, FV, I, N, PMT, etc.
Each question is worth 1pt. No partial credit will be offered. Hint: (Set you calculator to 1 pymt/yr.); Questions 1-7
1
. Find the value of $1,000 invested at 5% for 10 years with interest compounded annually. [Future value of a single sum]. Your answer is ___1,628_________
PV= 1,000, I= 5, N= 10 2.
An investor deposited $10,000 in a savings account paying 5% compounded quarterly
. At the end of 5 years what is the value of the account? [Future value of a single sum]. Your answer is _____12,820.37______
PV= 10,000, I= 5, N= 20
3.
Find the value of $6,000 invested at 7% for 5 years, compounded – Annually 8,415.31________ Semi-Annually ___8,463.59______ Quarterly ___8,488.67_____ Monthly ___8,505.75_______
[Future value of a single sum for each of these. **Enter #’s in your calculator just like in #1 & #2.] PV= 6,000, I=7, N= 5, N= 10, N= 20, N=60
4.
How long would it take to turn $2,500 into $10,000 if a 6% return (compounded monthly) was available? [Future value of a single sum. Solving for N]. Your answer is __277.95______ PV= -2,500, FV= 10,000, I= 6 5.
How much would a Certificate of Deposit (CD) cost you today if it would provide you with $6,000 in 4 years assuming it will yield 4% compounded semi-annually? [Present value of a single sum].
Your answer is __5,120.94_______
FV= 6,000, I= 4, N= 8
6.
An investor makes a $1,250 annual deposit into a Mutual Fund that produces an average return of 5% annually for 4 years. How much will the investor have at the end of the 4-year term? [Future value of an annuity. Solving for FV]. Your answer is _5,387.66_____ PMT= 1,250, I= 5, N= 4
7.
If you deposit $4,000 annually into an individual retirement account (IRA) earning an average of 5% return, how long will it take to amass $500,000 to fund your retirement lifestyle?
[Future value of an annuity. Solving for N]. Your answer is __40.6_______
PMT= -4,000, FV= 500,000, I= 5
Hint: (Set calculator to 12 pymts/yr.); Questions 8 & 9. 8.
To retire with $1,000,000 in 40 years, how much would you have to deposit each month to reach this goal, if you earn an average interest rate of 4.375%/yr.? [Future value of annuity. Solving for (monthly) PMT]. Your answer is __769.76_________
FV= 1,000,000, I= 4.375, N=480
How much principal would you earn on your account? Your answer is __630,515.2_________ 1,000,000 – 369,484.8
How much interest (opportunity) would you earn over 40-yrs? Your answer is ___369,484.8_______
PMT= 769.76, N= 480 Multiply the two together
9.
What is the monthly payment of a $22,000 car loan at 7.62% interest for 5 years? [Present value of an annuity. Solving for (monthly) PMT]. Your answer is ___442.09_______
PV= -22,000, I= 7.62, N= 60
How much is paid to the principal? Your answer is ___4,525.4_______
26,525-22,000
How much is paid in interest (burden) over the 5-year loan? Your answer is ___26,525.4________
442.09 * 60
Basic Math / Percentage change. 10.
The Dow Jones Industrial Average (The DOW or “Stock Market”) closed at 6,469.95 on March 6, 2009. This was the market low during the “Great Recession”. On January 26, 2024 the DJIA closed at 38,109.43. What percentage increase did the “Stock Market” achieve from 3/6/09 to 1/26/26? Your answer is ____489.022%_______
38,109.43-6,469.95= 31,639.48 31,639.48/6,469.95
Wow! However, there has been quite a bit of volatility (Big ups/Big downs) during this timeframe, i.e. COVID-19, over these years. As is always the case when viewing the stock market over a long period of time. Therefore, investing should be practiced with a long-term view versus trying to time the markets ups and downs.
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On October 1, 2024, Ogneva Corporation loans one of its employees $40,000 and accepts a 12-month, 9% note receivable.
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