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Please use excel functions to do the calculations on the worksheet for full credit! Note that there is more than one tab in this spreadsheet.
future value
| What would the future value of $100 be after 5 years at 10% compound interest? |
| N |
5 |
| I |
10% |
| PV |
$100 |
| PMT |
$0 |
|
FV= |
| Suppose you currently have $2,000 and plan to purchase a 3-year certificate of deposit (CD) that pays 4% interest compounded annually. How much will you have when the CD matures? |
| N |
3 |
| I |
4% |
| PV |
$2,000 |
| PMT |
$0 |
|
FV= |
| A company’s sales in 2009 were $100 million. If sales grow at 8%, what will they be 10 years later? |
| N |
10 |
| I |
8% |
| PV ($M) |
$100 |
| PMT |
$0 |
|
FV ($M)= |
| How much would $1, growing at 5% per year, be worth after 100 years? |
| N |
100 |
| I |
5% |
| PV |
$1 |
| PMT |
$0 |
|
FV= |
| What would FV be if the growth rate were 10%? |
| N |
100 |
| I |
10% |
| PV |
$1 |
| PMT |
$0 |
|
FV= |
present value
| Suppose a risk-free bond promises to pay $2,249.73 in 3 years. If the going risk-free interest rate is 4%, how much is the bond worth today? |
| N |
3 |
| I |
4% |
| PMT |
$0 |
| FV |
$2,249.73 |
|
PV= |
| How would your answer change if the bond matured in 5 rather than 3 years? |
| N |
5 |
| I |
4% |
| PMT |
$0 |
| FV |
$2,249.73 |
|
PV= |
| If the risk-free interest rate is 6% rather than 4%, how much is the 5-year bond worth today? |
| N |
5 |
| I |
6% |
| PMT |
$0 |
| FV |
$2,249.73 |
|
PV= |
Interest rate
| Suppose you can buy a U.S. Treasury bond which makes no payments until the bond matures 10 years from now, at which time it will pay you $1,000. What interest rate would you earn if you bought this bond for $585.43? |
| N |
10 |
| PMT |
$0 |
| PV |
$585.43 |
| FV |
$1,000 |
|
I = |
| What rate would you earn if you could buy the bond for $550? |
| N |
10 |
| PMT |
$0 |
| PV |
$550.00 |
| FV |
$1,000 |
|
I = |
| Microsoft earned $0.33 per share in 1997. Fourteen years later, in 2011, it earned $2.75. What was the growth rate in Microsoft’s earnings per share (EPS) over the 14-year period? |
| N |
14 |
| PMT |
$0 |
| PV |
$0.33 |
| FV |
$2.75 |
|
I = |
| If EPS in 2011 had been $2.00 rather than $2.75 what would the growth rate have been? |
| N |
14 |
| PMT |
$0 |
| PV |
$0.33 |
| FV |
$2.00 |
|
I = |
Perpetuity
| What is the present value of a perpetuity that pays ₤1,000 per year, beginning one year from now, if the appropriate interest rate is 5%? |
| PMT |
£1,000 |
| I |
5% |
|
PV= |
| What would the value be if the perpetuity began its payments immediately? |
| The perpetuity formula values payments 1 through infinity. If a payment is to be received immediately, it must be added to the formula result. |
| PMT |
£1,000 |
| I |
5% |
|
PV= |
Annuity
| What is the PVA of an ordinary annuity with 10 payments of $100 if the appropriate interest rate is 10%? |
| N |
10 |
| I |
10% |
| PMT |
-$100 |
| FV |
$0 |
|
PV= |
| What would the PVA be if the interest rate were 4%? |
| N |
10 |
| I |
4% |
| PMT |
-$100 |
| FV |
$0 |
|
PV= |
| What would the PVAs be if we were dealing with annuities due? |
| Part a |
|
|
Part b |
| BEGIN MODE |
|
|
BEGIN MODE |
| N |
10 |
|
N |
10 |
| I |
10% |
|
I |
4% |
| PMT |
-$100 |
|
PMT |
-$100 |
| FV |
$0 |
|
FV |
$0 |
| PV |
|
|
PV |
| Assume that you are offered an annuity that pays $100 at the end of each year for 10 years. You could earn 8% on your money in other equally risky investments. What is the most you should pay for the annuity? |
| N |
10 |
| I |
8% |
| PMT |
-$100 |
| FV |
$0 |
|
PV= |
| If the payments began immediately, then how much would the annuity be worth? |
| BEGIN MODE |
| N |
10 |
| I |
8% |
| PMT |
-$100 |
| FV |
$0 |
|
PV= |
NPV
| What is the present value of a 5-year ordinary annuity of $100 plus an additional $500 at the end of Year 5 if the interest rate is 6%? |
| Interest rate |
6% |
| Year |
0 |
1 |
2 |
3 |
4 |
5 |
| Ann Pmt |
$0 |
$100 |
$100 |
$100 |
$100 |
$100 |
| Lump Sum |
|
|
|
|
|
$500 |
| Total CFs |
$0 |
$100 |
$100 |
$100 |
$100 |
$600 |
| NPV |
| What is the present value of the following uneven cash flow stream: $0 at Time 0, $100 at the end of Year 1 (or at Time 1), $200 at the end of Year 2, $0 at the end of Year 3, and $400 at the end of Year 4, assuming the interest rate is 8%? |
| Interest rate |
8% |
| Year |
0 |
1 |
2 |
3 |
4 |
| CFs |
$0 |
$100 |
$200 |
$0 |
$400 |
| NPV |
IRR
| An investment costs $465 now and is expected to produce cash flows of $100 at the end of each of the next 4 years, plus an extra lump sum payment of $200 at the end of the 4th year. What is the expected rate of return on this investment? |
| Year |
0 |
1 |
2 |
3 |
4 |
| Ann Pmt |
-$465 |
$100 |
$100 |
$100 |
$100 |
| Lump Sum |
|
|
|
|
$200 |
| Total CFs |
-$465 |
$100 |
$100 |
$100 |
$300 |
| IRR |
| An investment costs $465 and is expected to produce cash flows of $100 at the end Year 1, $200 at the end of Year 2, and $300 at the end of Year 3. What is the expected rate of return on this investment? |
| Year |
0 |
1 |
2 |
3 |
| CFs |
-$465 |
$100 |
$200 |
$300 |
| IRR |
Value of bond
| A bond that matures in six years has a par value of $1,000, an annual coupon payment of $80, and a market interest rate of 9%. What is its price? |
| Years to Maturity |
|
6 |
| Annual Payment |
|
$80 |
| Par value |
|
$1,000 |
| Going rate, rd |
|
9% |
| Value of bond = |
| Last year a firm issued 30-year, 8% annual coupon bonds at a par value of $1,000. (1) Suppose that one year later the going rate drops to 6%. What is the new price of the bonds, assuming that they now have 29 years to maturity? |
| Years to Maturity |
|
29 |
| Coupon rate |
|
8% |
| Annual Payment |
|
$80 |
| Par value |
|
$1,000 |
| Going rate, rd |
|
6% |
| Value of bond = |
Yield of bond
| A bond currently sells for $850. It has an eight-year maturity, an annual coupon of $80, and a par value of $1,000. What is its yield to maturity? What is its current yield? |
| Years to Maturity |
|
8 |
| Annual Payment |
|
$80.00 |
| Current price |
|
$850.00 |
| Par value = FV |
|
$1,000.00 |
| Going rate, rd =YTM: |
| Annual Payment |
|
$80.00 |
| Current price |
|
$850.00 |
| Current yield: |
| A bond currently sells for $1,250. It pays a $110 annual coupon and has a 20-year maturity, but it can be called in 5 years at $1,110. What are its YTM and its YTC? Is it likely to be called if interest rates don't change? |
| Years to Maturity |
|
20 |
|
Years to Call |
|
5 |
| Annual Payment |
|
$110 |
|
Annual Payment |
|
$110 |
| Current price |
|
$1,250 |
|
Current price |
|
$1,250 |
| Par value = FV |
|
$1,000 |
|
Call price |
|
$1,110 |
| YTM |
|
|
|
YTC |
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