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6. At his retirement, Mr Roy has accumulated a corpus of Rs 1.5 cr incl his savings, PF, PPF, gratuity etc. He has an offer from an insurance co to invest this corpus, against which they will pay him an annuity for 20 years. Assume Interest rate is 8% p.a. What is the amount of annuity Mr Roy will receive each year? 8. 7. A jewellery store has announced a scheme wherein you have to keep a deposit of Rs 5,000 at the end of each month for next 1 year with them. At the end of 1 year, you can get a diamond set costing Rs 70,000/-. What is the implied interest rate ? Mrs Bhat has just retired and her accumulated pension amount is Rs 50 lac. If the interest rate is 12% p.a. and quarterly pension amount is Rs 3 lacs. For how many years will she keep getting the pension? A perpetuity Govt Bond has a coupon payment of 7% on face value of Rs 1 lac. If your expected return is 8%, what is the max price which you would pay for the bond? 9. 10. Rohit is planning to start a 2-year SIP in a Mutual Fund. Amount to be invested is Rs 1,000 in the first month, and Rohit plans to increase it by 5% each month. The rate of return expected on Stock market is 12% p.a. What will be the amount at the end of the SIP? 11. A perpetuity Govt Bond being issued at Rs 1 lac, will have a coupon payment of Rs 6,000/- next year, which will be increased by 2% year. If your expected return is 8%, would you buy the Bond? 1. 2. Mr Narayan invests Rs 10,000 at the end of each year in a mutual fund Systematic Investment Plan (SIP). He expects 14% return each year. What will be the accumulated value of his investment at the end of 10 years? Mrs Thakur takes a housing loan of Rs 50 lacs at 8% p.a. interest rate. Calculate the amount of the instalment if she has to pay back the loan in : a) annual, b) semi- annual, c) quarterly instalments over 5 years. LiveWel Cooperative Housing Society has estimated that they will need Rs 10 lacs for major repairs in the Society at the end of 3 years. Their bank is offering interest rate of 8% p.a. on Recurring Deposit, compounded semi- annually. What is the amount of each semi-annual deposit that the Society should make, to accumulate the required amount? 3. Marco Engg. Co purchases a machine costing Rs 8 lacs, by making a down payment of Rs 1.5 lacs, plus six annual instalments of Rs 1.5 lacs each. What is the rate of interest? Sigma Superstore is offering a 55-inch UHDTV at a price of Rs 80,000. In case you want an instalment plan, they have a tie-up with a NBFC whereby you pay 12 EMls of Rs 7,500 each. What is the interest rate being charged? At his retirement, Mr Roy has accumulated a corpus of Rs 1.5 cr incl his savings, PF, PPF, gratuity etc. He has an offer from an insurance co to invest this corpus, against which they will pay him an annuity for 20 years. Assume Interest rate is 8% p.a. What is the amount of annuity Mr Roy will receive each year? 6