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How To Change Payments Per Year On Hp 10bii+

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HP 10bii Calculator - Interest Rate Conversions

Calculator symbol key

The procedures in this certificate employ the following text to represent symbol keys:

Key

Description

Text Representation

colored key; shift fundamental

SHIFT

Interest rate conversion basics

The Interest Rate conversion application uses three keys:

  • SHIFT, NOM%

  • SHIFT, EFF%

  • SHIFT, P/Yr

They convert between nominal and annual effective involvement rates.

If the annual nominal interest rate is known, the corresponding almanac effective rate can be solved:

  1. Enter the nominal charge per unit and press SHIFT, so NOM%.

  2. Enter the number of compounding periods and press SHIFT, and so P/Year.

  3. Calculate the effective rate by pressing SHIFT, then EFF%.

    To calculate a nominal rate from a known constructive charge per unit:

  1. Enter the effective rate and printing SHIFT, then EFF%.

  2. Enter the number of compounding periods and press SHIFT, then P/YR.

  3. Calculate the nominal charge per unit by pressing SHIFT, and so NOM %.

In the TVM application, SHIFT, NOM%, and I/Twelvemonth share the same annals.

Interest conversions are primarily used for two types of problems:

  • Comparing investments with different compounding periods.

  • Solving TVM problems where the payment menstruum and the interest period differ.

Example of comparing investments

Which of the following three banks has the most favorable interest rate?

Offset Bank: 6.70 per centum annual interest, compounded quarterly.

Second banking company: 6.65 pct annual interest, compounded monthly.

Third bank: half-dozen.63 per centum annual involvement, compounded 360 times per year.

Showtime banking concern

Keys

Display

Description

Printing 6, [.], 7, SHIFT, and so NOM%

6.lxx

Stores nominal rate

Printing 4, SHIFT, then P/YR

4.00

Stores quarterly compounding periods

Press SHIFT, then EFF%

six.87

Calculates annual effective charge per unit

2nd bank

Keys

Brandish

Description

Printing half-dozen, [.], 65, SHIFT, then NOM%

half dozen.65

Stores nominal charge per unit

Printing 12, SHIFT, then P/Yr

12.00

Stores monthly compounding periods

Press SHIFT, then EFF%

6.86

Calculates annual effective charge per unit

Tertiary bank

Keys

Brandish

Description

Printing 6, [.], 63, SHIFT,then NOM%

half dozen.63

Stores nominal rate

Press 360, SHIFT, and so P/YR

360.00

Stores compounding periods

Printing SHIFT, then EFF%

6.85

Calculates almanac effective rate

The start bank offers a slightly better rate since 6.87 is greater than 6.86 and 6.85.

Compounding and payment periods differ

The TVM application assumes that the compounding periods, and the payment periods are the aforementioned. Some loan installments or savings deposits and withdrawals do not coincide with the bank's compounding periods. If the payment period differs from the compounding period, conform the interest rate to match the payment period before solving the problem.

To adjust an interest rate when the compounding period differs from the payment period, complete the following steps:

  1. Enter the nominal rate and printing SHIFT, and then NOM%. Enter the number of compounding periods in a year and press SHIFT, then P/Twelvemonth. Solve for the effective rate by pressing SHIFT, and so EFF%.

  2. Enter the number of payment periods in a year and press SHIFT+P/YR. Solve for the adjusted nominal charge per unit by pressing SHIFT, and so NOM%.

Example of calculating monthly payments and daily compounding

Starting today, monthly deposits of $25 are made to an account paying 5 pct interest, compounding daily (using a 365 solar day yr). What will the balance exist in seven years?

Step one

Calculate the equivalent charge per unit with monthly compounding.

Keys

Brandish

Description

Press 5, SHIFT,then NOM%

five.00

Stores nominal per centum rate

Printing 365, SHIFT,then P/YR

365.00

Stores depository financial institution's compounding periods per year

Press SHIFT, and so EFF%

five.13

Calculates annual effective rate

Printing 12, SHIFT,then P/Twelvemonth

12.00

Stores monthly periods

Press SHIFT, then NOM%

5.01

Calculates equivalent nominal per centum rate for monthly compounding

Since NOM% and I/YR share the same annals, this value is ready for employ in the rest of the trouble.

Stride 2

Summate the hereafter value.

Prepare to BEGIN mode. Press SHIFT, then BEG/END if annunciator is not displayed.

Keys

Display

Description

Press 0, then PV

0.00

Stores present value

Press 25, [+/-], then PMT

-25.00

Stores payment

Press 7, then SHIFT, then xP/Year

84.00

Stores total number of payments

Press FV

ii,519.61

Calculates balance after 7 years

Source: https://support.hp.com/ie-en/document/bpia5077

Posted by: chavezhond1975.blogspot.com

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