In: Accounting
| The company could issue $2,500,000 of long-term bonds, due in 6 years with a stated rate of interest, paid semiannually, of 3%. The market rate for similar debt is 4%. | |||||||||
| Cash Received | Annual Cash Required | ||||||||
| Face amount | |||||||||
| Face rate | |||||||||
| Interest Payment periods | |||||||||
| Interest Payment | |||||||||
| Term | |||||||||
| Periods | |||||||||
| Market rate | |||||||||
| PV factors used | single sum | ||||||||
| annuity | |||||||||
| PV face | |||||||||
|
PV interest Calculate in Excel, the cash received, and annual cash required with formulas visibile, as well as all other info. |
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|
Face amount |
$ 2,500,000.00 |
|
Face Rate |
3% |
|
Interest payment periods |
12 |
|
Interest payment |
$ 37,500.00 |
|
Term |
6 years |
|
Market Rate |
4% |
|
PV factors used: |
|
|
PV factor $1 |
0.788493175582 |
|
PV Annuity Factor $1 |
10.575341220917 |
|
PV Face Value |
$ 1,971,232.94 |
|
PV Interest |
$ 396,575.30 |
|
Issue price of Bonds |
$ 2,367,808.00 |
|
Face amount |
$ 2,500,000 |
|
Face Rate |
3% [Semi annual = 1.5%] |
|
Interest payment periods |
12 [ 6 years x 2 semi annual payment each year] |
|
Interest payment |
=2500000*3%*6/12 |
|
Term |
6 years |
|
Market Rate |
4% [rate to be used for Pv = 4%/2 semi annual = 2%] |
|
PV factors used: |
|
|
PV factor $1 |
=PV(4%/2,12,,1)*-1 |
|
PV Annuity Factor $1 |
=PV(4%/2,12,1)*-1 |
|
PV Face Value [Face value x PV factor $1] |
=2500000*0.788493175582 |
|
PV Interest [Interest value x PV annuity factor $1] |
=37500*10.575341220917 |
|
Issue price of Bonds |
=1971233+396575 |