Example of continuous compounding, Financial Accounting

Assignment Help:

Determine the future value of Rs.1000 compounded continuously for 5 year on the interest rate of 12 percent per year and contrast it along with annual compounding.

 Solution

FV=5 = PVeN(APR)

= 1000 * 2.71828

= 1000 * 2.71828.60

= 1000 * 1.82212

FV=5 = PV (1 + k)n

= 1000 (1 + .12)5

= 1000 (1.7623)

= 1762.3

From this illustration you can very well notice the effects of extreme frequency of compounding.

until now in our discussion we have supposed that the interest rate is going to stay the same over the life of the investment, although now a days we are witnessing an raised volatility in interest rates as a effect of that the financial instruments are designed in a manner that interest rates are benchmarked to a specific variable and along with the change in which variable the interest rates also change consequently.

In that case the Future Value is calculated by this equation:

FVn = PV(1 + k1 ) (1 + k2 ) (1 + k3 ) + ... (1 + kn )

Here kn is the interest rate for period n.


Related Discussions:- Example of continuous compounding

Financial institution, Financial Institution - Organization engaged in any ...

Financial Institution - Organization engaged in any of the many aspects of finance involving thrift institutions, commercial banks, securities brokers, investment banks and dealers

Prepare a purchases ledger control account, Question: The following inf...

Question: The following information was extracted from the books of William Noel for the year ended 30 April 2009.

Determine the net cash provided by operating activities, Van Aalst Company'...

Van Aalst Company's comparative balance sheet and income statement for last year appear below: Comparative Balance Sheet

Expense during 2013 on patent, In January, 2008, Sanford Corporation purcha...

In January, 2008, Sanford Corporation purchased a patent for a new product for $1,200,000. The patent was valid for fifteen years but it was estimated to have a useful life of ten

expected quarterly return, Common stocks A, B, C, and D had the following ...

Common stocks A, B, C, and D had the following quarterly returns. A B C D 0.07 0.05 0.07 0.12

Find out the prize of current prize stock, The current stock price of IOU i...

The current stock price of IOU is $250 and has a standard deviation of 35% per year. The risk-free interest rate is 5% per year compounded continuously. Find the prices of a call a

SOURCES OF FUNDS, In spite of the ordinary shares ranking last in terms of ...

In spite of the ordinary shares ranking last in terms of assets sharing in the event of liquidation, they attract more investors than any other type of shares. Why do you think thi

Bankrupt person-bankruptcy and liquidation, Bankrupt person A bankrupt ...

Bankrupt person A bankrupt is a person against whom an adjudication order has been made by the court primarily on the grounds of his insolvency. Any person (other than a body c

Adjustments, Is goodwill a fictitious asset?

Is goodwill a fictitious asset?

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd