% compound interest is (a) ` , , (b) ` , , (c) ` , , (d) ` , , . Example of contingent annuity is (a) Installments of payment for a plot of land (b) An endowment fund to give scholarships to a student (c) Personal loan from a bank (d) All the above Miscellaneous Problems . Find the amount of annuity of ` payable at the end of each year for years of money is worth % compounded annually. [( .
) = . ] . An equipment is purchased on an installment basis such that ` on the signing of the contract and four yearly installments of ` each payable at the end of first, second, third and the fourth year. If the interest is charged at % p.a find the cash down price.
[( . ) – = . ] . (i) Find the amount of an ordinary annuity of ` payable at the end of each year for years at % per year compounded annually.
[( . ) = . ] (ii) Calculate the amount of an ordinary annuity of ` , payable at the end of each half-year for years at % per year compounded half- yearly. [( .
) = . ] (iii) Find the amount of an ordinary annuity of ` is made at the end of every quarter for years at the rate of % per year compounded quarterly. [( . ) = .
] (iv) Find the amount of an annuity of ` payable at the end of every month for years if money is worth % per annum compounded monthly. [( . ) = . ] .
Naveen deposits ` at the end of each month in an account that pays an interest of % per annum compounded monthly, how many months will be required for the deposit to amount to atleast ` ? [log( . ) = . , log( .
) = . ] . A cash prize of ` , is given to the student standing first in examination of Business Mathematics by a person every year. Find out the sum that the person has to deposit