Problem Type 1:
Situation: | ||
Current household expenses of a couple | 50,000 | Rs. p.m. |
Current age of Earning member | 35 | years |
Current age of dependent spouse | 32 | years |
Retirement age of Earning member | 58 | years |
Life expectancy of Earning member | 75 | years |
Life Expectancy of dependent spouse | 80 | years |
Accumulation from existing investments | 12,000,000 | Rs. |
Goal
They would require regular monthly inflation-linked stream of income equivalent to their current household expenses till the life of Earning member and thereafter 60% of that income till the spouse survives. The corpus is supposed to be invested at 7% p.a. What additional monthly amount to be invested with immediate effect in an investment yielding 11% p.a. to attain the desired corpus? (given inflation throughout is 5.5% p.a.)
Problem Type 2:
Today’s date is 1st April, 2013: | ||
Current age of First Child | 4 | years |
Current age of Second Child | 1 | year |
Goal
Education expenses are required for each child at their respective age of 18 (Rs. 4 lakh at current cost) and for four subsequent years (Rs. 3 lakh p.a. at current cost). Expenses escalate at 5.5% p.a. All withdrawals are made in the beginning of the financial year. What monthly amount is to be invested at 11% p.a. with immediate effect up to one year prior to the required expenses for the First Child to achive this goal?
Problem Type 3:
Situation:
A personal loan of Rs. 3 lakh is availed on credit card at 14% p.a. interest for tenure of 2 years. The credit card company charged processing fees of 1% of the loan amount. The interest on monthly reducing balance basis was charged in the credit card. What is the annual effective rate of interest paid in this transaction?
Problem Type 4:
Employee’s Gross salary per annum | 1,000,000 | Rs. |
Estimated tax during the year | 210,000 | Rs. |
Family’s monthly expenses | 25,000 | (including expenses incurred on household from official account) |
Insurance premium (annual) | 20,000 | Rs. |
Existing insurance cover | 6,000,000 | Rs. |
Investment yield available on investing funds till retirement | 10% | P.a |
Number of remaining years to retirement | 28 | Year |
Goal:
The anticipated increase in the Employee’s post-tax salary is 5% year on year. The employee consumes 25% of regular household expenses on self. What should be the amount of additional insurance required to replace the Employee’s income contribution to his family for his remaining years employment?
Problem Type 5:
Retirement age of the individual | 60 years |
Life expectancy of the individual | 80 years |
A deferred annuity pension plan offers optional one-third commutation on the date of vesting and life certain level annuity. The level annuity from uncommuted amount is Rs. 60,000 per month. The vesting sum of Rs. 1.5 crore is estimated on retirement of the individual.
Goal:
If the individual opts to commute one-third of the expected vested amount and settles for life annuity from the remaining amount, at what rate of return the commuted amount shall be invested to yield a total income of Rs. 90,000 per month till he survives?
Problem Type 6:
Situation: | ||
Current age of Mr. A | 28 | years |
Current age of the spouse of Mr. A | 26 | years |
Retirement age of Mr. A | 60 | years |
Current house hold expenses | 25,000 | Rs. Per month |
Life expectancy of each of Mr. A and spouse | 80 | years |
Post-retire expenses needed till Spouse’s survival as % of pre-retire. exp. | 75% | |
Current investment available to be utilized towards retirement corpus | 300,000 | Rs. |
Mr. A desires to have additional cushion of Rs. 1 crore as terminal value from the date of last survivor towards bequest. The retirement solution can be managed at yield of 12% p.a. in the initial 10 years, moderated to return 9% p.a. in the next 10 years. In the remaining years to retirement and continuing into retirement the funds could be managed to yield 7% p.a. Inflation is considerd 5.5% p.a. in the pre-retirement period and is expected to moderate at 4% p.a. in the post-retirement period. Estimate the viability of achieving this goal by investing Rs. 62,000 p.a. in the current available investment, starting immediately, which would be incremented by 5% in the beginning of every year. You analyze that _______.
Problem Type 7:
Situation: Bond valuation and return | ||
Face value of the Bond | 1,000 | Rs. |
Coupon Rate (coupon payable at the end of every year on 31-December) | 9% | p.a. |
Date of maturity | 31-Dec-17 | |
Current market price (as on 1-Apr-2013) | 1,078 | Rs. |
What would be the effective return if an investment is made in the bond today and held till maturity?
Problem Type 8:
Situation: | ||
Client’s current age | 28 | years |
Age from which annual holidays to begin (continuing lifelong) | 45 | years |
Funds required at current costs | 50,000 | Rs. P.a. |
Cost escalation for holiday expenses | 7% | p.a. |
Age of retirement | 58 | years |
Life expectancy | 75 | years |
Holiday expenses to be contained post-retirement (at current costs) to | 30,000 | Rs. P.a. |
Goal:
The client would start investing immediately a certain amount on a quarterly basis in investments yielding 11% p.a. up to the period of drawing expenses for holiday for the first time. Once the corpus is built-up, the funds for holidays for 5-year block periods would be switched to safe investments yielding 8% p.a. from which yearly expenses would be drawn. What is the amount of quarterly investment?
Problem Type 9:
Situation: | ||
Current household expenses of a couple | 50,000 | Rs. p.m. |
Current age of the client | 33 | years |
Current age of dependent spouse | 30 | years |
Retirement age of the client | 58 | years |
Life expectancy of the client | 78 | years |
Life Expectancy of dependent spouse | 80 | years |
Goal:
The client wants to know the corpus required at his retirement which would be sufficient to sustain inflation-linked monthly expenses equivalent to their pre-retirement household expenses till the expected life of his spouse. The retirement corpus so accumulated shall be invested at 7% p.a. return while teh ruling inflation would be 5.5% p.a.. You estimate the corpus to be _________.
Problem Type 10:
Situation: | ||
Current household expenses of a couple | 50,000 | Rs. p.m. |
Current age of the client | 33 | years |
Current age of dependent spouse | 30 | years |
Retirement age of the client | 58 | years |
Life expectancy of the client | 78 | years |
Life Expectany of dependent spouse | 80 | years |
Estimated retirement corpus the couple is confident to accumulate | 30,000,000 | Rs. |
Goal:
The client wants to now the rate of return which would see the accumuleted corpus last till the spouse’s lifetime, if inflation-linked monthly expenses are drawn at 20% curtailmenet at the time of retirement. The inflation is considered at 5.5% p.a.