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- Saving for a College Education
- Lump Sum Deposit Account -- Final Value
- Simple Annual Interest Compute value of an account into which
*D*dollars has been deposited at a simple annual interest rate*r*for*n*years. - Daily Compounded Interest Compute value of an account into which
*D*dollars has been deposited at a daily compounded interest rate*r*for*n*years.

- Simple Annual Interest Compute value of an account into which
- Lump Sum Account -- Target Value
- Simple Annual
Interest Compute amount that must be deposited into an
account in order to accumulate
*V*dollars in*n*years at a simple annual interest rate*r*. - Daily Compounded Interest Compute amount that must be deposited into an
account in order to accumulate
*V*dollars in*n*years at an interest rate*r*, compounded daily.

- Simple Annual
Interest Compute amount that must be deposited into an
account in order to accumulate

- Lump Sum Deposit Account -- Final Value
- Investing for a College Education
- Regular Deposit Account -- Final Value
- Annual
Deposit, Simple Annual Interest Compute value of an account
into which
*D*dollars is deposited annually, growing at a simple annual interest rate*r*for*n*years. - Annual
Deposit, Daily Compounded Interest Compute value of an account
into which
*D*dollars is deposited annually, growing at a daily compounded interest rate*r*for*n*years. - Monthly
Deposit, Daily Compounded Interest Compute value of an account
into which
*D*dollars is deposited monthly, growing at a daily compounded interest rate*r*for*n*years. - Biweekly
Deposit, Daily Compounded Interest Compute value of an account
into which
*D*dollars is deposited biweekly, growing at a daily compounded interest rate*r*for*n*years. - Weekly
Deposit, Daily Compounded Interest Compute value of an account
into which
*D*dollars is deposited weekly, growing at a daily compounded interest rate*r*for*n*years.

- Annual
Deposit, Simple Annual Interest Compute value of an account
into which
- Regular Deposit Account -- Target Value
- Annual
Deposit, Simple Annual Interest Compute amount that must be
deposited into an account annually in order to accumulate
*V*dollars in*n*years at a simple annual interest rate*r*. - Annual
Deposit, Daily Compounded Interest Compute amount that must be
deposited into an account annually in order to accumulate
*V*dollars in*n*years at an interest rate*r*, compounded daily.

- Annual
Deposit, Simple Annual Interest Compute amount that must be
deposited into an account annually in order to accumulate

- Regular Deposit Account -- Final Value
- Taking into Consideration Taxes and Inflation
- Inflating Prices Compute the
price of an item whose initial price
*P*is subject to an inflation rate of_{0}*r*for*n*years. - After-Tax Rate of
return Compute the after-tax rate of return when the stated return rate is
*r*(in decimal form) and the income tax bracket is*b*(in percent) - Effect of Taxes on a Simple
Annual Interest Account Compute the tax-reduced value of an
account into which
*D*dollars has been deposited, at a simple annual interest rate*r*, for*n*years, subject to a marginal tax bracket*b*.

- Inflating Prices Compute the
price of an item whose initial price
- Tax-Deferred Accounts Can Help
- Taxable versus Tax-Deferred;
Simplest Model Compute and compare the values in two accounts: in
the second, a regular annual deposit is made, the interest minus the tax
due remains and accumulates in the account; in the first, a regular
annual deposit is made and the tax-deferred interest remains to
accumulate in the account. In both accounts,
*D*is the amount deposited,*r*is the interest rate,*n*is the number of years, and in the second account*b*is the marginal tax rate, leading to an effective interest rate of*r*as in item 3 above. ._{b} - Taxable versus Tax-Deferred;
Complex Model Compute and compare the values in two accounts: in
both accounts,
*D*is the annual amount of money available; however, in the second account, taxes are paid on it before investment, and taxes are paid on the interest; whereas in the first account, taxes are paid on both the principal and interest at the end of the investment period. As usual,*r*is the interest rate,*n*is the number of years, and*b*is the marginal tax rate.

- Taxable versus Tax-Deferred;
Simplest Model Compute and compare the values in two accounts: in
the second, a regular annual deposit is made, the interest minus the tax
due remains and accumulates in the account; in the first, a regular
annual deposit is made and the tax-deferred interest remains to
accumulate in the account. In both accounts,
- Your First Job: What is Your Salary Worth
- Freedom Quotient Compute the freedom quotient, that is, the quotient of your after-tax income divided by your gross income.

- Buying a House or Car: Mortgages and Loans
- Loan Payment Compute the
monthly payment
*P*on a loan of*B*dollars, at an interest rate*r*for*n*months. - Loan Amount Compute the
amount
*B*of a loan that a monthly payment*P*will support, if the interest rate is*r*, and the loan period is*n*months. - Magic Number Compute the
magic number on a loan with interest rate
*r*and loan period of*n*months. - Total Payments Compute
the total payments on a loan of
*B*dollars, at an interest rate*r*for*n*months. - Total Interest Compute
the total interest paid on a loan of
*B*dollars, at an interest rate*r*for*n*months.

- Loan Payment Compute the
monthly payment
- Buying or Leasing Your Car
- Lease Payment Compute
the monthly lease payment on a standard car lease, where the cap cost
is
*C*, the residual value is*R*, the money factor is*M*, and the number of months is*n*.

- Lease Payment Compute
the monthly lease payment on a standard car lease, where the cap cost
is
- Owning or Renting Your Home

No forms for this chapter; Click here if you need an arithmetic calculator. - Insurance

No forms for this chapter; Click here if you need an arithmetic calculator. - Cut up those #$%^& Credit Cards
- Credit Card Interest
Compute the monthly interest charge on a balance of
*B*dollars if your credit card company charges an annual interest rate*r*.

- Credit Card Interest
Compute the monthly interest charge on a balance of
- Gambling: Can I Win the Lottery

No forms for this chapter; Click here if you need an arithmetic calculator. - The Stock Market and Other Investments
- Escalating Investment
Program Compute the balance in an investment account into which
*D*dollars is invested in the first year, the account has a return rate of*r*, and the amount invested annually is escalated at the rate*s*. - Magic Number for an
Escalating Investment Account. Compute the magic number for an
escalating investment account whose return rate is
*r*and escalation rate (of investment) is*s*.

- Escalating Investment
Program Compute the balance in an investment account into which
- Retirement
- Discounting inflation
- How Long Will Your
Money Last Compute how many years your nest egg will last if you
have an annual shortfall of
*S*dollars, your nest egg is*E*dollars, and your return rate is*r*. - How Much You can
Spend Compute how much you can spend annually from a nest egg of
size
*E*, returning interest at a rate*r*, if you expect it to last*n*years.

- How Long Will Your
Money Last Compute how many years your nest egg will last if you
have an annual shortfall of
- Accounting for inflation
- How Long Will Your
Money Last Compute how many years your nest egg will last if you
have an annual shortfall of
*S*dollars, your nest egg is*E*dollars, your return rate is*r*, and the rate of inflation is*s* - How Much You can
Spend Compute how much you can spend annually from a nest egg of
size
*E*, returning interest at a rate*r*, subject to an inflation rate*s*, if you expect it to last*n*years.

- How Long Will Your
Money Last Compute how many years your nest egg will last if you
have an annual shortfall of

- Discounting inflation

- Magic Number for a Daily Compounded Lump Sum Account
- Geometric Series Algebraic derivation of the formula for the sum of a geometric series
- Coping with Inflation Explanation of why when a 5% lump sum savings account is subject to 3% inflation you need to increase the rate of return from 5% to 8.15%, not 8%, to achieve the same accumualted result with the same base deposit.
- Double Geometric Series Algebraic derivation of the formula for the sum of a double geometric series