Mathematics for Finance

One can purchase a flat from a house building society for ₹55,000 cash or on the terms that he should pay ₹4,275 as cash down payment and the rest in three equal installments. The society charges interest at the rate of 16% p.a. compounded half yearly. If the flat is purchased under instalment plan, find the value of each instalment.

• 18756
• 19292
• 19683
• 20285

On what sum will the amount at 10% p.a. for 4 years compounded annually be ₹3,280?

• 2240
• 4240
• 4500
• 2245

After 3 years, how much compound interest will be obtained on ₹7,800 at the interest rate of 5% per annum?

• 1227.475
• 1229.475
• 1228.475
• None

A sum of ₹x amounts to ₹27,900 in 3 years and to ₹41,850 in 6 years at a certain rate percent per annum, when the interest is compounded yearly. The value of x is:

• 16080
• 18600
• 18060
• 16800

The future value of annuity of ₹2,000 for 5 years at 5% compounded annually is given (in nearest ₹) as:

• 51051
• 21021
• 15624
• 61254

If a person bought a house by paying ₹45,00,000 down payment and ₹80,000 at the end of each year till the perpetuity. Assuming the rate of interest as 16% the present value of house (in ₹) is given as:

• 4700000
• 4500000
• 5780000
• 5000000

A sum of ₹7,500 amounts to ₹9,075 at 10% p.a., interest being compounded yearly in a certain time. The simple interest (in ₹) on the same sum for the same time and the same rate is:

• 1000
• 1250
• 1800
• 1500

The effective rate of return for 24% per annum convertible monthly is given as:

• 0.24
• 0.2682
• 0.18
• 0.2424

₹800 is invested at the end of each month in an account paying interest 5% per year compounded monthly. What is the future value of this annually after 10th payment?

• 4444
• 8756
• 3491
• 8151

Assuming that the discount rate is 7% p.a. how much would pay to receive ₹200 growing at 5% annually forever?

• 2500
• 5000
• 7500
• 10000