Exam 3: Cash Flow Analysis

Jeremy is interested in a bond which matures in 20 years. It has a face value of $8 000 and a coupon rate of 10%. Like most bonds it pays the bearer an interest payment every 6 months. How much is it worth today?

In this question, you are to write down the conversion factors that are required to transform the solid arrows into the equivalent dotted arrow. You can either indicate your answer by marking labelled arrows on the diagram, or by writing down a formula, as in the example given below:

A geometric gradient series

You want to have a million dollars in the bank when you retire. You think you can save $5 000 a year in a bank that offers you 5% interest. If you make your first deposit in a year's time, how many years will it be from now before you can retire?

The present worth of an infinitely long uniform series of cash flows is called

One standard assumption for annuities and gradients is

Maria wants to save up for a car. How much should she put in her bank account monthly to save $10 000 in two years if the bank pays 6% interest compounded monthly?

In this question, you are to write down the conversion factors that are required to transform the solid arrows into the equivalent dotted arrow. You can either indicate your answer by marking labelled arrows on the diagram, or by writing down a formula, as in the example given below:

Amy got $5 000 from her grandma to pay her tuition fee. She invested this amount at a 10% rate of return in an investment fund and simultaneously took a student loan for the same amount at a 6% interest rate compounded daily. Was it a smart move?

You will need to buy a replacement computer, costing $3 000, in five years time. If you have a bank account which earns 8% annual interest, how much must you put in the bank every year in order to have enough money for the replacement, assuming you make your first deposit in a year's time?

A company undertakes a 5-year project that requires annual payments. Payment for the first year is It will then increase by 5% each subsequent year. The interest is fixed at 5% a year. What is the present worth of this cash flow?

In this question, you are to write down the conversion factors that are required to transform the solid arrows into the equivalent dotted arrow. You can either indicate your answer by marking labelled arrows on the diagram, or by writing down a formula, as in the example given below:

How much money will you accumulate in a bank account by the end of a 5-year period if you deposit $1 200 today at an interest rate of 2% per year, compounded quarterly?

A municipality has just completed the construction of a bridge. It was calculated that operating and maintenance (O&M)costs of this bridge will be $20 000 in the first year with a 5% increase each year thereafter for the next 4 years. The interest rate used in calculations was 7.5% per year. What interest rate should be used to calculate the present worth of O&M costs over 5 years if we use the geometric series to present worth conversion factor?

In this question, you are to write down the conversion factors that are required to transform the solid arrows into the equivalent dotted arrow. You can either indicate your answer by marking labelled arrows on the diagram, or by writing down a formula, as in the example given below:

You are promised that when you retire from your current job, in 40 years time, you will receive a gold watch valued at $1 000. If you can invest money at 5% annual interest, what is the present worth of this promise?

In this question, you are to write down the conversion factors that are required to transform the solid arrows into the equivalent dotted arrow. You can either indicate your answer by marking labelled arrows on the diagram, or by writing down a formula, as in the example given below:

How much Jim can accumulate in a private pension fund over 20 years if the fund offers 5% interest compounded annually, and he can afford to deposit $2 000 at the end of every second year?

What is an annuity?

An oil-extracting company expects to produce 1 000 barrels of oil a day over the next 5 years. If the oil price remains at $80 per barrel for the duration of the project, what will be the company's accumulated total revenue at the end of the fifth year under 5% annual interest rate?