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Jonathan has a universal life insurance policy with a face value of \(\$ 500,000 .\) The current cash value of the policy is \(\$ 11,260 .\) Jonathan wants to stop paying premiums for a few months while he changes jobs. The premium is \(\$ 134\) per month. a. What will the cash value of the policy be, without adding any interest, if he doesn't pay the premiums for a year? b. For how many months could Jonathan use the cash value (with out interest) to pay for the \(\$ 134\) premiums?

Short Answer

Expert verified
a) The cash value of the policy after a year without adding interests if he doesn't pay the premiums will be \$9408. b) Jonathan could use the cash value to pay for the \$134 premiums for about 84 months.

Step by step solution

01

Calculate the Cash Value after a Year

To find the cash value after a year without paying premiums, multiply the premium of \$134 by 12 to find the total premium for a year. Subtract this year's premium from the current cash value. In maths, this will look like this: \( \$11260 - (12 \times \$134) \)
02

Calculate the Months the Current Cash Value can Cover

To find how many months the current cash value can cover, divide the current cash value by the monthly premium. In maths, this will look like this: \( \$11260 / \$134 \)

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Cash Value of Life Insurance
When discussing a universal life insurance policy, one crucial feature is its cash value. The cash value is the portion of the insurance that acts as a savings account and accumulates value over time. As policyholders pay their life insurance premiums, a portion of those payments goes towards the policy's cash value. This cash value can grow based on a variety of factors, such as fixed interests or investment performance, depending on the type of policy.

One of the benefits of the cash value is that it can be used by the policyholder during their lifetime. For example, Jonathan has the option to tap into his policy's cash value to cover his premium payments during periods of financial strain, such as the job transition he is currently facing. This can provide significant flexibility for policyholders, allowing them to maintain coverage even when they cannot afford out-of-pocket premium payments. It's important to note, however, that withdrawing from the cash value can reduce the policy's death benefit, which is the amount paid out upon the policyholder's death.
Life Insurance Premiums
Life insurance premiums are the payments made to an insurance company in exchange for the life insurance coverage. With a universal life insurance policy, such as the one Jonathan holds, premiums are typically flexible. Policyholders might have the option to adjust their premium payments over time, based on their financial situation, policy terms, and the insurance company's guidelines.

Paying premiums consistently is crucial for keeping the insurance policy active. If Jonathan stops paying his premiums, the insurance company may use the cash value of his policy to cover the premiums, keeping the policy in force until the cash value depletes. In the exercise, when Jonathan considers stopping his premium payments for a year, the impact on his policy's cash value becomes a significant point of focus. Understanding how these premiums interact with the cash value is essential for managing a universal life insurance policy effectively.
Financial Algebra Calculations
Financial algebra involves applying mathematical methods to solve problems related to financial decisions. In the case of Jonathan's life insurance policy, two calculations are used to determine the future cash value of the policy and to assess how long the current cash value could cover the monthly premiums.

The first calculation involves subtracting one year's worth of premiums from the current cash value: \[\begin{equation}\(11260 - (12 \times \)134)\end{equation}\]The result of this equation will give Jonathan insight into what his policy's cash value will be after one year without additional premium payments. For the second calculation, dividing the current cash value by the monthly premium tells Jonathan how many months his current cash value can sustain the policy: \[\begin{equation}\(11260 / \)134\end{equation}\]These types of financial algebra calculations are vital tools for individuals looking to make informed decisions about their financial products and their personal financial management. By understanding and applying such calculations, policyholders can better navigate the complexities of their financial commitments and plan accordingly.

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