HP 12C Financial 12C Yield of a Mortgage Traded at a Discount or Premium, 252.00, 300,000.00

Section 12: Real Estate and Lending 161

Yield of a Mortgage Traded at a Discount or Premium

The annual yield of a mortgage bought at a discount or premium can be calculated given the original mortgage amount, interest rate, and periodic payment, as well as the number of payment periods per year, the price paid for the mortgage, and the balloon payment amount (if it exists).

Information is entered as follows:

1.Press gÂand fCLEARG.

2.Key in the total number of periods until the balloon payment occurs and press n. (If there is no balloon payment, key in the total number of periods and press n.)

3.Key in the periodic payment amount then press P.*

4.Key in the purchase price of the mortgage then press $.*

5.Key in the balloon payment amount then press M.* (If there is no balloon payment, go to step 6.)

6.Press ¼to obtain the yield per period.

7.RPN: Key in the number of periods per year and press § to obtain the nominal annual yield.

7.ALG: Press §. Key in the number of periods per year and press ³ to obtain the nominal annual yield.

Example 1: An investor wishes to purchase a $300,000 mortgage taken out at 6% for 21 years. Since the mortgage was issued, 42 monthly payments have been made. What would be the annual yield if the purchase price of the mortgage is $250,000? (Since PMT was not given, it must be calculated).

Keystrokes	Keystrokes	Display
(RPN mode)	(ALG mode)
f]	f[
gÂ	gÂ		Enter the number of
fCLEARG	fCLEARG	252.00	periods (into n).
21gA	21gA
6gC	6gC	0.50	Monthly interest rate
			(into i).
300000Þ$	300000Þ$	–300,000.00	Mortgage amount (into
			PV; negative to indicate
			money paid out).

*Positive for cash received; negative for cash paid out.

File name: hp 12c pt_user's guide_English_HDPMF123E27	Page: 161 of 275
Printed Date: 2005/8/1	Dimension: 14.8 cm x 21 cm