In: Finance
Martin wants to provide money in his will for an annual bequest to whichever of his living relatives is oldest. That bequest will provide $ 7000 in the first year, and will grow by 5 % per year, forever. If the interest rate is 11 %, how much must Martin provide to fund this bequest? A. $ 93333 B. $ 58333 C. $ 140000 D. $ 116667
Information provided:
Payment in the first year= $7,000
Growth rate= 5%
Interest rate= 11%
The present value of growing perpetuity is calculated using the below formula:
Present value of growing perpetuity= Payment at year 1/ Interest rate- growth rate
= $7,000/ 0.11- 0.05
= $7,000/ 0.06
= $116,667.
The answer is option d.
Therefore, Martin must provide $116,667 o fund the bequest.