Calculate Monthly Interest: If you have a credit card balance of [latex]$500[/latex] with an APR of [latex]15\%[/latex], what is the monthly interest?
Balance Transfer Savings: Calculate the savings if you transfer a [latex]$1000[/latex] balance to a card offering [latex]0\%[/latex] APR for [latex]12[/latex] months, compared to a card with [latex]18\%[/latex].
Rewards Calculation: If a credit card offers [latex]2\%[/latex] cashback on all purchases, how much would you earn back on [latex]$500[/latex] spent?
Introductory Rate Savings: If a credit card offers a [latex]0\%[/latex] introductory APR for [latex]6[/latex] months on a balance of [latex]$1000[/latex], and the regular APR is [latex]20\%[/latex], how much will you save in interest during the introductory period?
Annual Fee Impact: Calculate the effective APR of a credit card with a [latex]15\%[/latex] APR and a [latex]$50[/latex] annual fee on an average monthly balance of [latex]$1000[/latex].
Homeownership
Calculate Monthly Payment: If a mortgage is [latex]$150,000[/latex] at [latex]3.5\%[/latex] annual interest rate for [latex]15[/latex] years, what is the monthly payment?
Down Payment Impact: Calculate the monthly payment for a [latex]$200,000[/latex] mortgage with [latex]10\%[/latex] down payment at [latex]4\%[/latex] interest for [latex]30[/latex] years.
Property Tax Calculation: If the annual property tax is [latex]1.2\%[/latex] of the home value, what is the monthly property tax for a [latex]$250,000[/latex] home?
Adjustable-Rate Mortgage Payment: Calculate the monthly payment for a [latex]$200,000[/latex] adjustable-rate mortgage that starts at [latex]3\%[/latex] for [latex]5[/latex] years and then adjusts to [latex]5\%[/latex] for [latex]25[/latex] years.
Home Insurance Cost: If home insurance costs [latex]0.5\%[/latex] of the home value annually, what is the monthly cost for a [latex]$300,000[/latex] home?
Home Appreciation Value: If a home appreciates [latex]3\%[/latex] annually, what will a [latex]$250,000[/latex] home be worth in [latex]10[/latex] years?
Calculate Car Loan Payment: If a car loan is [latex]$18,000[/latex] at [latex]4\%[/latex] annual interest rate for [latex]4[/latex] years, what is the monthly payment?
Depreciation Calculation: If a new car costs [latex]$25,000[/latex] and depreciates [latex]20\%[/latex] in the first year, what will it be worth after one year?
Total Operating Costs: Calculate the total annual cost of operating a car that gets [latex]30[/latex] miles per gallon, with gas costing [latex]$2.50[/latex] per gallon, and [latex]$600[/latex] per year in maintenance, and an annual mileage of [latex]12,000[/latex] miles.
Different Financing Terms: Calculate the monthly payment for a [latex]$20,000[/latex] car loan at [latex]4%[/latex] interest for [latex]3[/latex] years versus [latex]6[/latex] years.
Lease Option Costs: If leasing a car costs [latex]$250[/latex] per month with a [latex]$1000[/latex] down payment, what is the total cost over a [latex]3[/latex]-year lease?
Operating Cost Variables: Calculate the annual cost of operating a car that gets [latex]20[/latex] miles per gallon, with gas costing [latex]$3.50[/latex] per gallon, and [latex]$800[/latex] per year in maintenance for [latex]15,000[/latex] miles driven.
Retirement Planning
Social Security Benefits
Social Security Benefits at Different Ages: If the full retirement benefit is [latex]$1,500[/latex] per month, calculate the benefit if claimed at age [latex]70[/latex] assuming an [latex]8\%[/latex] increase per year after full retirement age.
Different Retirement Ages: Calculate the [latex]30[/latex]-year growth of [latex]$300[/latex] per month invested in a 401(k) with a [latex]6\%[/latex] return if you start at age [latex]25[/latex] versus age [latex]35[/latex].
401(k) Growth with Employer Match: If you contribute [latex]$300[/latex] per month to a 401(k), and your employer matches [latex]50\%[/latex], with an average annual return of [latex]7\%[/latex], how much will you have in [latex]30[/latex] years?
Employer Matching Impact: If you contribute [latex]$200[/latex] per month to a 401(k), and your employer matches [latex]100\%[/latex], with an average annual return of [latex]5\%[/latex], how much will you have in [latex]25[/latex] years?
Social Security Strategy: If the full retirement benefit is [latex]$1,800[/latex] per month, calculate the lifetime benefit at age [latex]67[/latex] versus age [latex]70[/latex] assuming an average lifespan of [latex]85[/latex].
Pension Plan Value: If a pension plan offers [latex]2\%[/latex] of your final salary for each year of service, calculate the annual pension for someone who worked [latex]30[/latex] years with a final salary of [latex]$60,000[/latex].
Basic Forms of Investments
Investment Growth: If you invest [latex]$5,000[/latex] in a mutual fund with an average annual return of [latex]6\%[/latex], how much will it be worth in [latex]10[/latex] years?
Risk and Return: Calculate the [latex]5[/latex]-year growth of [latex]$10,000[/latex] invested in bonds averaging [latex]3\%[/latex] annual return versus stocks averaging [latex]8\%[/latex].
Investment Portfolio Allocations: Calculate the [latex]10[/latex]-year growth of [latex]$10,000[/latex] invested [latex]60\%[/latex] in stocks averaging [latex]7\%[/latex] return and [latex]40\%[/latex] in bonds averaging [latex]3\%[/latex] return.
IRA vs. 401(k) Comparison: Compare the growth of [latex]$300[/latex] per month in an IRA with a [latex]6\%[/latex] return versus a 401(k) with a [latex]50\%[/latex] employer match and a [latex]6\%[/latex] return over [latex]20[/latex] years.
Roth vs. Traditional IRA: Calculate the after-tax value of a Traditional IRA and a Roth IRA, both with [latex]$100,000[/latex] growth, assuming a [latex]25\%[/latex] tax rate at withdrawal for the Traditional IRA.