HP 12C#ABA hp 12c_solutions handbook_English_E.pdf - Page 68

Discounted Notes

Page 68 highlights

8. Key in the purchase date (MM.DDYYYY) and press . 9. Key in the assumed sell date (MM.DDYYYY) and press to find the after-tax yield (as a percentage). 10. For the same bond but different date return to step 8. 11. For a new case return to step 2. Example: You can buy a 7% bond on October 1, 1981 for $70 and expect to sell it in 5 years for $90. What is your net (after-tax) yield over the 5year period if interim coupon payments are considered as income, and your tax bracket is 50%? (One-half of the long term capital gain is taxable at 50%, so the tax on capital gains alone is 25%) Keystrokes Display 70 1 10.00 Purchase price. 90 2 90.00 Selling price. 7 3 7.00 Annual coupon rate. 25 4 25.00 Capital gains tax rate. 50 5 50.00 Income tax rate. 10.011981 10.011986 10.01 8.53 Purchase Date. % after tax yield. Discounted Notes A note is a written agreement to pay a sum of money plus interest at a certain rate. Notes to not have periodic coupons, since all interest is paid at maturity. A discounted note is a note that is purchase below its face value. The following HP 12C program finds the price and/or yield* (*The yield is a reflection of the return on an investment) of a discounted note. KEYSTROKES DISPLAY CLEAR 1 0001- 45 1 67

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67
8.
Key in the purchase date (MM.DDYYYY) and press
.
9.
Key in the assumed sell date (MM.DDYYYY) and press
to find the
after-tax yield (as a percentage).
10.
For the same bond but different date return to step 8.
11.
For a new case return to step 2.
Example:
You can buy a 7% bond on October 1, 1981 for $70 and expect
to sell it in 5 years for $90. What is your net (after-tax) yield over the 5-
year period if interim coupon payments are considered as income, and
your tax bracket is 50%?
(One-half of the long term capital gain is taxable at 50%, so the tax on
capital gains alone is 25%)
Discounted Notes
A note is a written agreement to pay a sum of money plus interest at a
certain rate. Notes to not have periodic coupons, since all interest is paid
at maturity.
A discounted note is a note that is purchase below its face value. The
following HP 12C program finds the price and/or yield* (*The yield is a
reflection of the return on an investment) of a discounted note.
Keystrokes
Display
70
1
10.00
Purchase price.
90
2
90.00
Selling price.
7
3
7.00
Annual coupon rate.
25
4
25.00
Capital gains tax rate.
50
5
50.00
Income tax rate.
10.011981
10.01
Purchase Date.
10.011986
8.53
% after tax yield.
KEYSTROKES
DISPLAY
CLEAR
00-
1
01-
45
1